@article{liuInformationTheoreticPrincipleEmergent2026,

title = {Information-Theoretic Principle of Emergent 1-Form Symmetries},

author = {Y. -J. Liu and W. -T. Xu and F. Pollmann and M. Knap},

url = {https://doi.org/10.1103/d6qf-5chk},

doi = {10.1103/d6qf-5chk},

issn = {2691-3399},

year  = {2026},

date = {2026-10-09},

urldate = {2026-10-01},

journal = {PRX Quantum},

volume = {7},

number = {4},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.17652054},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{scopaGeneralizedHydrodynamicsBloch2026,

title = {Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice},

author = {S. Scopa and P. Zechmann and M. Knap and J. De Nardis and A. Bastianello},

url = {https://doi.org/10.1103/yfjc-r69d},

doi = {10.1103/yfjc-r69d},

issn = {1079-7114},

year  = {2026},

date = {2026-09-11},

urldate = {2026-09-01},

journal = {Phys. Rev. Lett.},

volume = {137},

number = {11},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.20272044},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{sunObservationConformalField2026,

title = {Observation of conformal field theory spectra in a quantum simulator},

author = {X. Sun and Y. Le and S. Naus and R. B. -S. Tsai and L. R. B. Picard and S. Murciano and M. Knap and J. Alicea and M. Endres},

url = {https://doi.org/10.1038/s41586-026-10904-x},

doi = {10.1038/s41586-026-10904-x},

issn = {1476-4687},

year  = {2026},

date = {2026-08-19},

urldate = {2026-08-01},

journal = {Nature},

volume = {657},

number = {8130},

pages = {98–106},

publisher = {Springer Science and Business Media LLC},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yueElectromagneticResponseHalfFilled2026,

title = {Electromagnetic Response of a Half-Filled Chern Band near Topological Criticality},

author = {X. Yue and F. Pichler and M. Knap and A. Stern},

url = {https://doi.org/10.1103/v44d-7jr4},

doi = {10.1103/v44d-7jr4},

issn = {1079-7114},

year  = {2026},

date = {2026-08-14},

urldate = {2026-08-01},

journal = {Phys. Rev. Lett.},

volume = {137},

number = {7},

publisher = {American Physical Society (APS)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{lanziniTheoryAngleResolved2026,

title = {Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators},

author = {L. Lanzini and P. Das and M. Knap},

url = {https://doi.org/10.1103/1d1n-cssv},

doi = {10.1103/1d1n-cssv},

issn = {1079-7114},

year  = {2026},

date = {2026-07-28},

urldate = {2026-07-01},

journal = {Phys. Rev. Lett.},

volume = {137},

number = {5},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.15553362},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{fengTransientLocalizationFractionalization2026,

title = {Transient localization from fractionalization: Vanishingly small energy transport in gapless quantum magnets},

author = {S. Feng and P. Zhu and J. Knolle and M. Knap},

url = {https://doi.org/10.1103/crq3-l1r3},

doi = {10.1103/crq3-l1r3},

year  = {2026},

date = {2026-07-21},

urldate = {2026-07-21},

journal = {Phys. Rev. B},

volume = {114},

number = {3},

pages = {034423},

abstract = {In this work, we investigate zero-temperature energy transport in a gapless quantum magnet. We find that suppressed energy transport can arise at low frequencies due to transient localization from fractionalization, even in the absence of extrinsic defects or disorder. Concretely, we consider a Kitaev ladder model, whose spin degrees of freedom fractionalize into visons and spinons, in a uniform magnetic field. For moderate magnetic fields, visons are heavy and act as quasistatic disorder that induces transient localization of light spinons even in the translation-invariant model and at zero temperature, which strongly suppresses the residual transport.},

note = {datadoi: 10.5281/zenodo.17151126},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{boeslSkeletonIsometricTensor2026,

title = {Skeleton of Isometric Tensor Network States for Abelian String-Net Models},

author = {J. Boesl and Y. -J. Liu and F. Pollmann and M. Knap},

url = {https://doi.org/10.1103/d3fz-5755},

doi = {10.1103/d3fz-5755},

issn = {1079-7114},

year  = {2026},

date = {2026-07-07},

urldate = {2026-07-01},

journal = {Phys. Rev. Lett.},

volume = {137},

number = {2},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.17427675},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ojeda-aristizabalLessonsARuCl_3Pursuing2026,

title = {Lessons from α-RuCl_{3} for pursuing quantum spin liquid physics in atomically thin materials},

author = {C. Ojeda-Aristizabal and X. Zheng and C. Xu and Z. Nussinov and Y. Motome and A. Banerjee and A. W. Tsen and M. Knap and R. -R. Du and G. Joshi and A. Mounce and Y. Kim and B. M Hunt and D. Shcherbakov and B. Zhou and R. Jing and M. Liu and H. Zhao and M. Claassen and O. Erten and Y. P. Chen and E. A. Henriksen},

url = {https://iopscience.iop.org/article/10.1088/1361-648X/ae7cc8},

doi = {10.1088/1361-648x/ae7cc8},

issn = {1361-648X},

year  = {2026},

date = {2026-07-03},

urldate = {2026-07-01},

journal = {J. Phys. Condens. Matter},

volume = {38},

number = {26},

pages = {263001},

publisher = {IOP Publishing},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{pichlerPurelyElectronicModel2026,

title = {Purely electronic model for exciton-polaron formation in moiré heterostructures},

author = {F. Pichler and M. Hafezi and M. Knap},

url = {https://doi.org/10.1103/98wg-qcfn},

doi = {10.1103/98wg-qcfn},

issn = {2643-1564},

year  = {2026},

date = {2026-05-11},

urldate = {2026-05-01},

journal = {Phys. Rev. Res.},

volume = {8},

number = {2},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.14879210},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{haghshenasDigitalQuantumMagnetism2026,

title = {Digital quantum magnetism on a trapped-ion quantum computer},

author = {R. Haghshenas and E. Chertkov and M. Mills and W. Kadow and S. -H. Lin and Y. H. Chen and C. Cade and I. Niesen and T. Begušić and M. S. Rudolph and C. Cirstoiu and K. Hémery and C. Mc Keever and M. Lubasch and E. Granet and C. H. Baldwin and J. P. Bartolotta and M. Bohn and J. J. Burau and J. Cline and M. DeCross and J. M. Dreiling and C. Foltz and D. Francois and J. P. Gaebler and C. N. Gilbreth and J. Gray and D. Gresh and A. Hall and A. Hankin and A. Hansen and N. Hewitt and C. A. Holliman and R. B. Hutson and M. Iqbal and N. Kotibhaskar and E. Lehman and D. Lucchetti and I. S. Madjarov and K. Mayer and A. R. Milne and S. A. Moses and B. Neyenhuis and G. Park and A. R. Perry and B. Ponsioen and M. Schecter and P. E. Siegfried and D. T. Stephen and B. G. Tiemann and M. D. Urmey and J. Walker and A. C. Potter and D. Hayes and G. K. -L. Chan and F. Pollmann and M. Knap and H. Dreyer and M. Foss-Feig},

url = {https://doi.org/10.1038/s41586-026-10445-3},

doi = {10.1038/s41586-026-10445-3},

issn = {1476-4687},

year  = {2026},

date = {2026-04-29},

urldate = {2026-04-01},

journal = {Nature},

volume = {653},

number = {8113},

pages = {56–62},

publisher = {Springer Science and Business Media LLC},

note = {datadoi: 10.5281/zenodo.18487089},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{pichlerFalseVacuumDecay2026,

title = {False Vacuum Decay in Flat-Band Ferromagnets: Role of Quantum Geometry and Chiral Edge States},

author = {F. Pichler and C. Kuhlenkamp and M. Knap},

url = {https://doi.org/10.1103/q7ss-pvcq},

doi = {10.1103/q7ss-pvcq},

issn = {1079-7114},

year  = {2026},

date = {2026-04-15},

urldate = {2026-04-01},

journal = {Phys. Rev. Lett.},

volume = {136},

number = {15},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.17924292},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{pichlerMicroscopicMechanismAnyon2026,

title = {Microscopic mechanism of anyon superconductivity emerging from fractional Chern insulators},

author = {F. Pichler and C. Kuhlenkamp and M. Knap and A. Vishwanath},

url = {https://doi.org/10.1016/j.newton.2025.100340},

doi = {10.1016/j.newton.2025.100340},

issn = {2950-6360},

year  = {2026},

date = {2026-03-02},

urldate = {2026-03-01},

journal = {Newton},

volume = {2},

number = {3},

pages = {100340},

publisher = {Elsevier BV},

note = {datadoi: 10.5281/zenodo.15594496},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gammon-smithSimulatingTopologicalOrder2026,

title = {Simulating topological order on quantum processors},

author = {A. Gammon-Smith and M. Knap and F. Pollmann},

url = {https://doi.org/10.1038/s42254-025-00911-8},

doi = {10.1038/s42254-025-00911-8},

issn = {2522-5820},

year  = {2026},

date = {2026-01-26},

urldate = {2026-01-01},

journal = {Nat. Rev. Phys.},

volume = {8},

number = {3},

pages = {160–170},

publisher = {Springer Science and Business Media LLC},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{upadhyayGiantEnhancementExciton2026,

title = {Giant enhancement of exciton diffusion near an electronic Mott insulator},

author = {P. Upadhyay and D. G. Suárez-Forero and T. -S. Huang and M. J. Mehrabad and B. Gao and S. Sarkar and D. Session and K. Watanabe and T. Taniguchi and Y. Zhou and M. Knap and M. Hafezi},

url = {https://doi.org/10.1126/science.ads5266},

doi = {10.1126/science.ads5266},

issn = {1095-9203},

year  = {2026},

date = {2026-01-01},

urldate = {2026-01-01},

journal = {Science},

volume = {391},

number = {6783},

pages = {394–398},

publisher = {American Association for the Advancement of Science (AAAS)},

note = {datadoi: 10.5061/dryad.3r2280gv7},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{romenFractionalizedPrethermalizationOnedimensional2025,

title = {Fractionalized prethermalization in the one-dimensional Hubbard model},

author = {A. Romen and J. Knolle and M. Knap},

url = {https://doi.org/10.1103/qlky-lzx6},

doi = {10.1103/qlky-lzx6},

year  = {2025},

date = {2025-11-20},

urldate = {2025-11-20},

journal = {Phys. Rev. B},

volume = {112},

number = {19},

pages = {195124},

abstract = {Prethermalization phenomena in driven systems are generally understood via a local Floquet Hamiltonian obtained from a high-frequency expansion. Remarkably, recently it has been shown that a driven Kitaev spin liquid with fractionalized excitations can realize a quasistationary state that is not captured by this paradigm. Instead distinct types of fractionalized excitations are characterized by vastly different temperatures—a phenomenon dubbed . In our work, we analyze fractionalized prethermalization in a driven one-dimensional Hubbard model at strong coupling which hosts spin-charge fractionalization. At intermediate frequencies quasisteady states emerge which are characterized by a low spin and high charge temperature with lifetimes set by two competing processes: the lifetime of the quasiparticles determined by Fermi's Golden rule and the exponentially long lifetime of a Floquet prethermal plateau. We classify drives into three categories, each giving rise to distinct (fractional) prethermalization dynamics. Resorting to a time-dependent variant of the Schrieffer-Wolff transformation, we systematically analyze how these drive categories are linked to the underlying driven Hubbard model, thereby providing a general understanding of the emergent thermalization dynamics. We discuss routes toward an experimental realization of this phenomenon in quantum simulation platforms.},

note = {datadoi: 10.5281/zenodo.17343675},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{isbrandtAnisotropicSpinIce2025,

title = {Anisotropic spin ice on a breathing pyrochlore lattice},

author = {G. Isbrandt and F. Pollmann and M. Knap},

url = {https://link.aps.org/doi/10.1103/gyf7-nm5v},

doi = {10.1103/gyf7-nm5v},

year  = {2025},

date = {2025-10-07},

urldate = {2025-10-01},

journal = {Phys. Rev. B},

volume = {112},

number = {16},

pages = {165110},

abstract = {Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the breathing pyrochlore lattice affects the ground state properties of the system. Significant changes are observed in the ground state structure, reflected in the spin structure factor and in a reduction of residual entropy at low temperatures. We theoretically uncover a rich phase diagram by varying the anisotropy and demonstrate how this modification reduces the ground state degeneracy across different phases. Numerical simulations reveal that, at sufficiently low temperatures, the system either undergoes a crossover into a constrained spin ice manifold, characterized by an entropy density that drops below the Pauling entropy of conventional spin ice, or a phase transition into a symmetry-broken state, depending on the perturbations. Additionally, we compute the spin structure factors for the anisotropic model and compare these results to analytical predictions from a self-consistent Gaussian approximation, finding good agreement. This work develops the understanding of spin ice in anisotropic limits, which may be experimentally realized by strain, providing, among others, key signatures in entropy and specific heat.},

note = {datadoi: 10.5281/zenodo.14931247},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{willProbingNonequilibriumTopological2025,

title = {Probing non-equilibrium topological order on a quantum processor},

author = {M. Will and T. A. Cochran and E. Rosenberg and B. Jobst and N. M. Eassa and P. Roushan and M. Knap and A. Gammon-Smith and F. Pollmann},

url = {https://doi.org/10.1038/s41586-025-09456-3},

doi = {10.1038/s41586-025-09456-3},

year  = {2025},

date = {2025-09-10},

urldate = {2025-09-01},

journal = {Nature},

volume = {645},

number = {8080},

pages = {348},

abstract = {Out-of-equilibrium phases in many-body systems constitute a new paradigm in quantum matter—they exhibit dynamical properties that may otherwise be forbidden by equilibrium thermodynamics. Among these non-equilibrium phases are periodically driven (Floquet) systems1–5, which are generically difficult to simulate classically because of their high entanglement. Here we realize a Floquet topologically ordered state theoretically proposed in ref. 6, on an array of superconducting qubits. We image the characteristic dynamics of its chiral edge modes and characterize its emergent anyonic excitations. Devising an interferometric algorithm allows us to introduce and measure a bulk topological invariant to probe the dynamical transmutation of anyons for system sizes up to 58 qubits. Our work demonstrates that quantum processors can provide key insights into the thus-far largely unexplored landscape of highly entangled non-equilibrium phases of matter.},

note = {datadoi: (10.5281/zenodo.15837492)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{birnkammerScatteringTheoryChiral2025,

title = {Scattering theory of chiral edge modes in topological magnon insulators},

author = {S. Birnkammer and M. Knap and J. Knolle and A. Mook and A. Bastianello},

url = {https://link.aps.org/doi/10.1103/btt2-mp62},

doi = {10.1103/btt2-mp62},

year  = {2025},

date = {2025-09-09},

urldate = {2025-09-09},

journal = {Phys. Rev. B},

volume = {112},

number = {9},

pages = {094417},

abstract = {Topological magnon insulators exhibit robust edge modes with chiral properties similar to quantum Hall edge states. However, due to their strong localization at the edges, interactions between these chiral edge magnons can be significant, as we show in a model of coupled magnon-conserving spin chains in an electric field gradient. The chiral edge modes remain edge-localized and do not scatter into the bulk, and we characterize their scattering phase: for strongly localized edge modes, we observe significant deviation from the bare scattering phase. This renormalization of edge scattering can be attributed to bound bulk modes resonating with the chiral edge magnons in the spirit of Feshbach resonances in atomic physics. We argue that the scattering dynamics can be probed experimentally with a real-time measurement protocol using inelastic scanning tunneling spectroscopy. Our results show that interaction among magnons can be encoded in an effective edge model of reduced dimensionality, where the interactions with the bulk renormalize the effective couplings. Our work introduces a systematic way to determine the many-body effective theory for edge states in topological magnon insulators.},

note = {datadoi: 10.5281/zenodo.13895647},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{papaefstathiouEfficientTensorNetwork2025,

title = {Efficient tensor network simulation of multiemitter non-Markovian systems},

author = {I. Papaefstathiou and D. Malz and J. I. Cirac and M. C. Bañuls},

url = {https://link.aps.org/doi/10.1103/hmbj-lg7p},

doi = {10.1103/hmbj-lg7p},

year  = {2025},

date = {2025-07-24},

urldate = {2025-07-01},

journal = {Phys. Rev. A},

volume = {112},

number = {1},

pages = {013721},

note = {datadoi: (10.5281/zenodo.15764360)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{xuTensorNetworkStudyRoughening2025,

title = {Tensor-Network Study of the Roughening Transition in a (2+1)D ℤ_{2} Lattice Gauge Theory with Matter},

author = {W. -T. Xu and M. Knap and F. Pollmann},

url = {https://doi.org/10.1103/3lxj-dx76},

doi = {10.1103/3lxj-dx76},

issn = {1079-7114},

year  = {2025},

date = {2025-07-17},

urldate = {2025-07-01},

journal = {Phys. Rev. Lett.},

volume = {135},

number = {3},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.15324471},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cochran_visualizing_2025,

title = {Visualizing dynamics of charges and strings in (2 + 1)D lattice gauge theories},

author = {T. A. Cochran and B. Jobst and E. Rosenberg and Y. D. Lensky and G. Gyawali and N. Eassa and M. Will and A. Szasz and D. Abanin and R. Acharya and L. Aghababaie Beni and T. I. Andersen and M. Ansmann and F. Arute and K. Arya and A. Asfaw and J. Atalaya and R. Babbush and B. Ballard and J. C. Bardin and A. Bengtsson and A. Bilmes and A. Bourassa and J. Bovaird and M. Broughton and D. A. Browne and B. Buchea and B. B. Buckley and T. Burger and B. Burkett and N. Bushnell and A. Cabrera and J. Campero and H. -S. Chang and Z. Chen and B. Chiaro and J. Claes and A. Y. Cleland and J. Cogan and R. Collins and P. Conner and W. Courtney and A. L. Crook and B. Curtin and S. Das and S. Demura and L. De Lorenzo and A. Di Paolo and P. Donohoe and I. Drozdov and A. Dunsworth and A. Eickbusch and A. Moshe Elbag and M. Elzouka and C. Erickson and V. S. Ferreira and L. Flores Burgos and E. Forati and A. G. Fowler and B. Foxen and S. Ganjam and R. Gasca and É. Genois and W. Giang and D. Gilboa and R. Gosula and A. Grajales Dau and D. Graumann and A. Greene and J. A. Gross and S. Habegger and M. Hansen and M. P. Harrigan and S. D. Harrington and P. Heu and O. Higgott and J. Hilton and H. -Y. Huang and A. Huff and W. Huggins and E. Jeffrey and Z. Jiang and C. Jones and C. Joshi and P. Juhas and D. Kafri and H. Kang and A. H. Karamlou and K. Kechedzhi and T. Khaire and T. Khattar and M. Khezri and S. Kim and P. Klimov and B. Kobrin and A. Korotkov and F. Kostritsa and J. Kreikebaum and V. Kurilovich and D. Landhuis and T. Lange-Dei and B. Langley and K. -M. Lau and J. Ledford and K. Lee and B. Lester and L. Le Guevel and W. Li and A. T. Lill and W. Livingston and A. Locharla and D. Lundahl and A. Lunt and S. Madhuk and A. Maloney and S. Mandrà and L. Martin and O. Martin and C. Maxfield and J. McClean and M. McEwen and S. Meeks and A. Megrant and K. Miao and R. Molavi and S. Molina and S. Montazeri and R. Movassagh and C. Neill and M. Newman and A. Nguyen and M. Nguyen and C. -H. Ni and K. Ottosson and A. Pizzuto and R. Potter and O. Pritchard and C. Quintana and G. Ramachandran and M. Reagor and D. Rhodes and G. Roberts and K. Sankaragomathi and K. Satzinger and H. Schurkus and M. Shearn and A. Shorter and N. Shutty and V. Shvarts and V. Sivak and S. Small and W. C. Smith and S. Springer and G. Sterling and J. Suchard and A. Sztein and D. Thor and M. Torunbalci and A. Vaishnav and J. Vargas and S. Vdovichev and G. Vidal and C. Vollgraff Heidweiller and S. Waltman and S. X. Wang and B. Ware and T. White and K. Wong and B. W. K. Woo and C. Xing and Z. Jamie Yao and P. Yeh and B. Ying and J. Yoo and N. Yosri and G. Young and A. Zalcman and Y. Zhang and N. Zhu and N. Zobrist and S. Boixo and J. Kelly and E. Lucero and Y. Chen and V. Smelyanskiy and H. Neven and A. Gammon-Smith and F. Pollmann and M. Knap and P. Roushan},

url = {https://doi.org/10.1038/s41586-025-08999-9},

doi = {10.1038/s41586-025-08999-9},

year  = {2025},

date = {2025-06-04},

urldate = {2025-06-01},

journal = {Nature},

volume = {642},

number = {8067},

pages = {315},

abstract = {Lattice gauge theories (LGTs)1–4 can be used to understand a wide range of phenomena, from elementary particle scattering in high-energy physics to effective descriptions of many-body interactions in materials5–7. Studying dynamical properties of emergent phases can be challenging, as it requires solving many-body problems that are generally beyond perturbative limits8–10. Here we investigate the dynamics of local excitations in a $$textbackslashmathbbZ_2$$LGT using a two-dimensional lattice of superconducting qubits. We first construct a simple variational circuit that prepares low-energy states that have a large overlap with the ground state; then we create charge excitations with local gates and simulate their quantum dynamics by means of a discretized time evolution. As the electric field coupling constant is increased, our measurements show signatures of transitioning from deconfined to confined dynamics. For confined excitations, the electric field induces a tension in the string connecting them. Our method allows us to experimentally image string dynamics in a (2+1)D LGT, from which we uncover two distinct regimes inside the confining phase: for weak confinement, the string fluctuates strongly in the transverse direction, whereas for strong confinement, transverse fluctuations are effectively frozen11,12. We also demonstrate a resonance condition at which dynamical string breaking is facilitated. Our LGT implementation on a quantum processor presents a new set of techniques for investigating emergent excitations and string dynamics.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{xuCriticalBehaviorFredenhagenMarcu2025,

title = {Critical behavior of Fredenhagen-Marcu string order parameters at topological phase transitions with emergent higher-form symmetries},

author = {W. -T. Xu and F. Pollmann and M. Knap},

url = {https://doi.org/10.1038/s41534-025-01030-z},

doi = {10.1038/s41534-025-01030-z},

year  = {2025},

date = {2025-05-09},

urldate = {2025-05-09},

journal = {npj Quantum Inf.},

volume = {11},

number = {1},

pages = {74},

abstract = {A nonlocal string order parameter detecting topological order and deconfinement has been proposed by Fredenhagen and Marcu (FM). However, due to the lack of exact internal symmetries for lattice models and the nonlinear dependence of the FM string order parameter on ground states, it is a priori not guaranteed that it is a genuine order parameter for topological phase transitions. In this work, we find that the FM string order parameter exhibits universal scaling behavior near critical points of charge condensation transitions, by directly evaluating the FM string order parameter in the infinite string-length limit using infinite Projected Entangled Pair States (iPEPS) for the toric code in a magnetic field. Our results thus demonstrate that the FM string order parameter represents a quantitatively well-behaved order parameter. We find that only in the presence of an emergent 1-form symmetry the corresponding FM string order parameter can faithfully detect topological transitions.},

note = {datadoi: (10.5281/zenodo.10494399)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zerbaEmergentFractonHydrodynamics2025,

title = {Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels},

author = {C. Zerba and A. Seidel and F. Pollmann and M. Knap},

url = {https://link.aps.org/doi/10.1103/PRXQuantum.6.020321},

doi = {10.1103/PRXQuantum.6.020321},

year  = {2025},

date = {2025-04-30},

urldate = {2025-04-01},

journal = {PRX Quantum},

volume = {6},

number = {2},

pages = {020321},

abstract = {The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics have witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in their nonequilibrium quantum dynamics. We show that in the lowest Landau level the system generically relaxes subdiffusively. The slow relaxation is understood from emergent conservation laws of the total charge and the associated dipole moment that arises from the effective Hamiltonian projected onto the lowest Landau level, leading to subdiffusive fracton hydrodynamics. We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics.},

note = {datadoi: 10.5281/zenodo.13897004},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{vivancoStronglyDrivenFermi2025,

title = {The strongly driven Fermi polaron},

author = {F. J. Vivanco and A. Schuckert and S. Huang and G. L. Schumacher and G. G. T. Assumpção and Y. Ji and J. Chen and M. Knap and N. Navon},

url = {https://doi.org/10.1038/s41567-025-02799-8},

doi = {10.1038/s41567-025-02799-8},

year  = {2025},

date = {2025-04-01},

urldate = {2025-04-01},

journal = {Nat. Phys.},

volume = {21},

number = {4},

pages = {564},

abstract = {Quasiparticles are emergent excitations of matter that underlie much of our understanding of quantum many-body systems. Therefore, the prospect of controlling their properties has both fundamental and practical implications. However, in solid-state materials, it is often challenging to understand how quasiparticles are modified by external fields due to their complex interplay with other collective excitations. Here we demonstrate the manipulation of Fermi polarons—quasiparticles formed by impurities interacting with a Fermi gas—in a homogeneous atomic gas using fast radio-frequency control. Exploiting two internal states of the impurity species, we develop a steady-state spectroscopy, from which we extract the energy of the driven polaron. By varying the drive Rabi frequency, we measure the decay rate and the quasiparticle residue of the polaron in the weak-drive limit. At large Rabi frequencies, we observe signs that the drive causes a hybridization of the driven polaron with an incoherent background, leading to the breakdown of a description in terms of textbook quasiparticles. Our experiment establishes the driven Fermi polaron as a promising platform for studying controllable quasiparticles in strongly driven quantum matter and calls for a controlled theoretical framework to describe the dynamics of this strongly interacting quantum system.},

note = {datadoi: 10.1038/s41567-025-02799-8},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zerbaTuningTransportSolidState2025,

title = {Tuning Transport in Solid-State Bose-Fermi Mixtures by Feshbach Resonances},

author = {C. Zerba and C. Kuhlenkamp and L. Mangeolle and M. Knap},

url = {https://doi.org/10.1103/PhysRevLett.134.126502},

doi = {10.1103/physrevlett.134.126502},

issn = {1079-7114},

year  = {2025},

date = {2025-03-26},

urldate = {2025-03-01},

journal = {Phys. Rev. Lett.},

volume = {134},

number = {12},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.13842074},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{liHighlyEntangledStationary2025,

title = {Highly Entangled Stationary States from Strong Symmetries},

author = {Y. Li and F. Pollmann and N. Read and P. Sala},

url = {https://link.aps.org/doi/10.1103/PhysRevX.15.011068},

doi = {10.1103/PhysRevX.15.011068},

year  = {2025},

date = {2025-03-21},

urldate = {2025-03-01},

journal = {Phys. Rev. X},

volume = {15},

number = {1},

pages = {011068},

abstract = {We find that the presence of strong non-Abelian symmetries can lead to highly entangled stationary states even for unital quantum channels. We derive exact expressions for the bipartite logarithmic negativity, Rényi negativities, and operator space entanglement for stationary states restricted to one symmetric subspace, with focus on the trivial subspace. We prove that these apply to open quantum evolutions whose commutants, characterizing all strongly conserved quantities, correspond to either the universal enveloping algebra of a Lie algebra or the Read-Saleur commutants. The latter provides an example of quantum fragmentation, whose dimension is exponentially large in system size. We find a general upper bound for all these quantities given by the logarithm of the dimension of the commutant on the smaller bipartition of the chain. As Abelian examples, we show that strong U(1) symmetries and classical fragmentation lead to separable stationary states in any symmetric subspace. In contrast, for non-Abelian SU⁡(𝑁) 

symmetries, both logarithmic and Rényi negativities scale logarithmically with system size. Finally, we prove that, while Rényi negativities with 𝑛 >2 scale logarithmically with system size, the logarithmic negativity (as well as generalized Rényi negativities with 𝑛 <2) exhibits a volume-law scaling for the Read-Saleur commutants. Our derivations rely on the commutant possessing a Hopf algebra structure in the limit of infinitely large systems and, hence, also apply to finite groups and quantum groups.},

note = {datdoi: 10.5281/zenodo.13292265},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{pichlerSingleparticleSpectralFunction2025,

title = {Single-particle spectral function of fractional quantum anomalous Hall states},

author = {F. Pichler and W. Kadow and C. Kuhlenkamp and M. Knap},

url = {https://doi.org/10.1103/PhysRevB.111.075108},

doi = {10.1103/physrevb.111.075108},

issn = {2469-9969},

year  = {2025},

date = {2025-02-04},

urldate = {2025-02-01},

journal = {Phys. Rev. B},

volume = {111},

number = {7},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.13692026},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{papaefstathiou_real-time_2025,

title = {Real-time scattering in the lattice Schwinger model},

author = {I. Papaefstathiou and J. Knolle and M. C. Bañuls},

url = {https://link.aps.org/doi/10.1103/PhysRevD.111.014504},

doi = {10.1103/PhysRevD.111.014504},

year  = {2025},

date = {2025-01-15},

urldate = {2025-01-15},

journal = {Phys. Rev. D},

volume = {111},

number = {1},

pages = {014504},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{xuEntanglementPropertiesGauge2025,

title = {Entanglement Properties of Gauge Theories from Higher-Form Symmetries},

author = {W. -T. Xu and T. Rakovszky and M. Knap and F. Pollmann},

doi = {10.1103/PhysRevX.15.011001},

year  = {2025},

date = {2025-01-02},

urldate = {2025-01-02},

journal = {Phys. Rev. X},

volume = {15},

number = {1},

pages = {011001},

abstract = {We explore the relationship between higher-form symmetries and entanglement properties in lattice gauge theories with discrete gauge groups, which can exhibit both topologically ordered phases and higher-form symmetry-protected topological (SPT) phases. Our study centers on a generalization of the Fradkin-Shenker model describing ℤ2 lattice gauge theory with matter, where the Gauss law constraint can be either emergent or exact. The phase diagram includes a topologically ordered deconfined phase and a nontrivial SPT phase protected by a 1-form and a 0-form symmetry, among others. We obtain the following key findings: First, the entanglement properties of the model depend on whether the 1-form symmetries and the Gauss law constraint are exact or emergent. For the emergent Gauss law, the entanglement spectrum (ES) of the nontrivial SPT phase exhibits degeneracies, which are robust at low energies against weak perturbations that explicitly break the exact 1-form symmetry. When the Gauss law and the 1-form symmetry are both exact, the ES degeneracy is extensive. This extensive degeneracy turns out to be fragile and can be removed completely by infinitesimal perturbations that explicitly break the exact 1-form symmetry while keeping the Gauss law exact. Second, we consider the ES in the topologically ordered phase where 1-form symmetries are spontaneously broken. In contrast to the ES of the nontrivial SPT phase, we find that spontaneous higher-form symmetry breaking removes “half” of the ES levels, leading to a nondegenerate ES in the topologically ordered phase, in general. Third, we derive a connection between spontaneous higher-form symmetry breaking and the topological entanglement entropy (TEE). Using this relation, we investigate the entanglement entropy that can be distilled in the deconfined phase of the original Fradkin-Shenker model using gauge-invariant measurements. We show that the TEE is robust against the measurement when the 1-form symmetry is emergent but it is fragile when the 1-form symmetry is exact. Our results demonstrate the advantage of higher-form symmetries for understanding entanglement properties of gauge theories.},

note = {datadoi: (10.5281/zenodo.14360829)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{adlerObservationHilbertSpace2024,

title = {Observation of Hilbert space fragmentation and fractonic excitations in 2D},

author = {D. Adler and D. Wei and M. Will and K. Srakaew and S. Agrawal and P. Weckesser and R. Moessner and F. Pollmann and I. Bloch and J. Zeiher},

url = {https://doi.org/10.1038/s41586-024-08188-0},

doi = {10.1038/s41586-024-08188-0},

year  = {2024},

date = {2024-11-13},

urldate = {2024-11-01},

journal = {Nature},

volume = {636},

number = {8041},

pages = {80},

abstract = {The relaxation behaviour of isolated quantum systems taken out of equilibrium is among the most intriguing questions in many-body physics1. Quantum systems out of equilibrium typically relax to thermal equilibrium states by scrambling local information and building up entanglement entropy. However, kinetic constraints in the Hamiltonian can lead to a breakdown of this fundamental paradigm owing to a fragmentation of the underlying Hilbert space into dynamically decoupled subsectors in which thermalization can be strongly suppressed2–5. Here we experimentally observe Hilbert space fragmentation in a two-dimensional tilted Bose–Hubbard model. Using quantum gas microscopy, we engineer a wide variety of initial states and find a rich set of manifestations of Hilbert space fragmentation involving bulk states, interfaces and defects, that is, two-, one- and zero-dimensional objects. Specifically, uniform initial states with equal particle number and energy differ strikingly in their relaxation dynamics. Inserting controlled defects on top of a global, non-thermalizing chequerboard state, we observe highly anisotropic, subdimensional dynamics, an immediate signature of their fractonic nature6–9. An interface between localized and thermalizing states in turn shows dynamics depending on its orientation. Our results mark the observation of Hilbert space fragmentation beyond one dimension, as well as the concomitant direct observation of fractons, and pave the way for in-depth studies of microscopic transport phenomena in constrained systems.},

note = {datadoi: 10.17617/3.FPKWEQ},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zerbaRealizingTopologicalSuperconductivity2024,

title = {Realizing topological superconductivity in tunable bose-fermi mixtures with transition metal dichalcogenide heterostructures},

author = {C. Zerba and C. Kuhlenkamp and A. Imamoğlu and M. Knap},

doi = {10.1103/PhysRevLett.133.056902},

year  = {2024},

date = {2024-07-30},

urldate = {2024-07-30},

journal = {Phys. Rev. Lett.},

volume = {133},

number = {5},

pages = {056902},

abstract = {Heterostructures of two-dimensional transition metal dichalcogenides are emerging as a promising platform for investigating exotic correlated states of matter. Here, we propose to engineer Bose-Fermi mixtures in these systems by coupling interlayer excitons to doped charges in a trilayer structure. Their interactions are determined by the interlayer trion, whose spin-selective nature allows excitons to mediate an attractive interaction between charge carriers of only one spin species. Remarkably, we find that this causes the system to become unstable to topological 𝑝+𝑖⁢𝑝 superconductivity at low temperatures. We then demonstrate a general mechanism to develop and control this unconventional state by tuning the trion binding energy using a solid-state Feshbach resonance.},

note = {datadoi: (10.5281/zenodo.10008122)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{pichlerProbingMagnetismMoire2024,

title = {Probing magnetism in moiré heterostructures with quantum twisting microscopes},

author = {F. Pichler and W. Kadow and C. Kuhlenkamp and M. Knap},

url = {https://doi.org/10.1103/PhysRevB.110.045116},

doi = {10.1103/PhysRevB.110.045116},

year  = {2024},

date = {2024-07-09},

urldate = {2024-07-09},

journal = {Phys. Rev. B},

volume = {110},

number = {4},

pages = {045116},

abstract = {Spin-ordered states close to metal-insulator transitions are poorly understood theoretically and challenging to probe in experiments. Here, we propose that the quantum twisting microscope, which provides direct access to the energy-momentum resolved spectrum of single-particle and collective excitations, can be used as a novel tool to distinguish between different types of magnetic order. To this end, we calculate the single-particle spectral function and the dynamical spin-structure factor for both a ferromagnetic and antiferromagnetic generalized Wigner crystal formed in fractionally filled moiré superlattices of transition metal dichalcogenide heterostructures. We demonstrate that magnetic order can be clearly identified in these response functions. Furthermore, we explore signatures of quantum phase transitions in the quantum twisting microscope response. We focus on the specific case of triangular moiré lattices at half filling that have been proposed to host a topological phase transition between a chiral spin liquid and a 120° ordered state. Our work demonstrates the potential for quantum twisting microscopes to characterize quantum magnetism in moiré heterostructures.},

note = {datadoi: 10.5281/zenodo.10611915},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{luo_probing_2024,

title = {Probing off-diagonal eigenstate thermalization with tensor networks},

author = {M. Luo and R. Trivedi and M. C. Bañuls and J. I. Cirac},

doi = {10.1103/PhysRevB.109.134304},

year  = {2024},

date = {2024-04-08},

urldate = {2024-04-01},

journal = {Phys. Rev. B},

volume = {109},

number = {13},

pages = {134304},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{boeslDeconfinementDynamicsFractons2024,

title = {Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains},

author = {J. Boesl and P. Zechmann and J. Feldmeier and M. Knap},

url = {https://doi.org/10.1103/PhysRevLett.132.143401},

doi = {10.1103/PhysRevLett.132.143401},

year  = {2024},

date = {2024-04-02},

urldate = {2024-04-02},

journal = {Phys. Rev. Lett.},

volume = {132},

number = {14},

pages = {143401},

abstract = {Fractonic constraints can lead to exotic properties of quantum many-body systems. Here, we investigate the dynamics of fracton excitations on top of the ground states of a one-dimensional, dipole-conserving Bose-Hubbard model. We show that nearby fractons undergo a collective motion mediated by exchanging virtual dipole excitations, which provides a powerful dynamical tool to characterize the underlying ground-state phases. We find that, in the gapped Mott insulating phase, fractons are confined to each other as motion requires the exchange of massive dipoles. When crossing the phase transition into a gapless Luttinger liquid of dipoles, fractons deconfine. Their transient deconfinement dynamics scales diffusively and exhibits strong but subleading contributions described by a quantum Lifshitz model. We examine prospects for the experimental realization in tilted Bose-Hubbard chains by numerically simulating the adiabatic state preparation and subsequent time evolution and find clear signatures of the low-energy fracton dynamics.},

note = {datadoi: (10.5281/zenodo.10035551)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zechmannDynamicalSpectralResponse2024,

title = {Dynamical Spectral Response of Fractonic Quantum Matter},

author = {P. Zechmann and J. Boesl and J. Feldmeier and M. Knap},

doi = {10.1103/physrevb.109.125137},

year  = {2024},

date = {2024-03-21},

urldate = {2024-03-21},

journal = {Phys. Rev. B},

volume = {109},

number = {12},

pages = {125137},

abstract = {Quantum many-body systems with fractonic excitations can realize fascinating phases of matter. Here, we study the low-energy excitations of a constrained Bose-Hubbard model in one dimension, which conserves the center of mass or, equivalently, the dipole moment in addition to the particle number. This model is known to realize fractonic phases, including a dipole Mott insulator, a dipole Luttinger liquid, and a metastable dipole supersolid. We use tensor network methods to compute spectral functions from the dynamical response of the system and verify predictions from low-energy field theories of the corresponding ground-state phases. We demonstrate the existence of gapped excitations compatible with strong coupling results in a dipole Mott insulator, linear sound modes characteristic of a Luttinger liquid of dipoles, and soft quadratic modes at both zero and finite momenta in a supersolid state with charge density wave order and phase coherence at noninteger filling.},

note = {datadoi: (10.5281/zenodo.10014288)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kadowSingleholeSpectraKitaev2024,

title = {Single-hole spectra of Kitaev spin liquids: From dynamical Nagaoka ferromagnetism to spin-hole fractionalization},

author = {W. Kadow and H. -K. Jin and J. Knolle and M. Knap},

url = {https://doi.org/10.1038/s41535-024-00641-7},

doi = {10.1038/s41535-024-00641-7},

year  = {2024},

date = {2024-03-21},

urldate = {2024-03-21},

journal = {npj Quantum Mater.},

volume = {9},

number = {1},

pages = {32},

note = {datadoi: 10.5281/zenodo.8363616},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{choiFiniteTemperatureEntanglement2024,

title = {Finite Temperature Entanglement Negativity of Fermionic Symmetry Protected Topological Phases and Quantum Critical Points in One Dimension},

author = {W. Choi and M. Knap and F. Pollmann},

url = {https://doi.org/10.1103/PhysRevB.109.115132},

doi = {10.1103/PhysRevB.109.115132},

year  = {2024},

date = {2024-03-18},

urldate = {2024-03-01},

journal = {Phys. Rev. B},

volume = {109},

number = {11},

pages = {115132},

abstract = {We study the logarithmic entanglement negativity of symmetry-protected topological (SPT) phases and quantum critical points (QCPs) of one-dimensional noninteracting fermions at finite temperatures. In particular, we consider a free fermion model that realizes not only quantum phase transitions between gapped phases but also an exotic topological phase transition between quantum critical states in the form of the fermionic Lifshitz transition. The bipartite entanglement negativity between adjacent fermion blocks reveals the crossover boundary of the quantum critical fan near the QCP between two gapped phases. Along the critical phase boundary between the gapped phases, the sudden decrease in the entanglement negativity signals the fermionic Lifshitz transition responsible for the change in the topological nature of the QCPs. In addition, the tripartite entanglement negativity between spatially separated fermion blocks counts the number of topologically protected boundary modes for both SPT phases and topologically nontrivial QCPs at zero temperature. However, the long-distance entanglement between the boundary modes vanishes at finite temperatures due to the instability of SPTs, the phases themselves.},

note = {datadoi: (10.5281/zenodo.10058475)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kawanoUnconventionalSpinTransport2024,

title = {Unconventional spin transport in strongly correlated kagome systems},

author = {M. Kawano and F. Pollmann and M. Knap},

url = {https://doi.org/10.1103/PhysRevB.109.L121111},

doi = {10.1103/physrevb.109.l121111},

issn = {2469-9969},

year  = {2024},

date = {2024-03-18},

urldate = {2024-03-01},

journal = {Phys. Rev. B},

volume = {109},

number = {12},

pages = {L121111},

publisher = {American Physical Society (APS)},

note = {datadoi: 10.5281/zenodo.8183105},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{romenDeconfinedQuantumCriticality2024,

title = {Deconfined quantum criticality in the long-range, anisotropic Heisenberg chain},

author = {A. Romen and S. Birnkammer and M. Knap},

url = {https://scipost.org/10.21468/SciPostPhysCore.7.1.008},

doi = {10.21468/scipostphyscore.7.1.008},

year  = {2024},

date = {2024-02-22},

urldate = {2024-02-22},

journal = {SciPost Phys. Core},

volume = {7},

number = {1},

pages = {008},

abstract = {Deconfined quantum criticality describes continuous phase transitions that are not captured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum critical points in the long-range, anisotropic Heisenberg chain. With matrix product state simulations, we show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We extract the critical exponents of the transition and connect them to an effective field theory obtained from bosonization techniques. We show that beyond stabilizing the valance bond order, the long-range interactions are irrelevant and the transition is well described by a double frequency sine-Gordon model. We propose how to realize and probe deconfined quantum criticality in our model with trapped-ion quantum simulators.},

note = {datadoi: 10.5281/zenodo.10102981},

keywords = {},

pubstate = {published},

tppubtype = {article}

}