@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{salgado-linaresThermalHallConductivity2026,

title = {Thermal Hall conductivity from semiclassical spin dynamics simulations: Implementation and applications to chiral ferromagnets and Kitaev magnets},

author = {I. Salgado-Linares and A. Mook and L. Mangeolle and J. Knolle},

url = {https://link.aps.org/doi/10.1103/b1r9-1l3f},

doi = {10.1103/b1r9-1l3f},

year  = {2026},

date = {2026-08-21},

urldate = {2026-08-21},

journal = {Phys. Rev. B},

volume = {114},

number = {12},

pages = {125123},

publisher = {American Physical Society},

abstract = {We investigate thermal Hall transport in magnetic systems, using semiclassical spin dynamics simulations. Building on a linear response framework, we discuss the intricacies of computing the thermal Hall conductivity from real-time energy current correlations and the energy magnetization. We then apply this methodology to two models: a square-lattice chiral magnet with in-plane Dzyaloshinskii-Moriya interaction, and the antiferromagnetic Kitaev model in a field. Our results demonstrate the efficiency of semiclassical spin dynamics to study thermal Hall transport capturing quantitative effects beyond the simple intrinsic noninteracting approximation. They can serve as a benchmark for comparison with experiments in regimes where nonlinearities from magnon-magnon interactions and strong thermal fluctuations play a crucial role.},

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{srivastavaTheoryNonlinearSpectroscopy2026,

title = {Theory of nonlinear spectroscopy of quantum magnets},

author = {A. Srivastava and S. Birnkammer and G. Sim and M. Knap and J. Knolle},

url = {https://link.aps.org/doi/10.1103/2rfx-8ql6},

doi = {10.1103/2rfx-8ql6},

year  = {2026},

date = {2026-05-07},

urldate = {2026-05-01},

journal = {Phys. Rev. B},

volume = {113},

number = {18},

pages = {184421},

publisher = {American Physical Society},

abstract = {Two-dimensional coherent spectroscopy (2DCS) is an established method for characterizing molecules and has been proposed in the terahertz regime as a tool for probing exotic excitations of quantum magnets; however, the precise nature of the coupling between pump field and spin degrees of freedom has remained unclear. Here, we develop a general response theory of 2DCS and show how magnetoelectric as well as polarization couplings contribute to 2DCS in addition to the typically assumed magnetization. We propose experimental protocols to probe the presence of polarization couplings, for instance, from exchange-striction or spin-current mechanism, when the electric field couples to quadratic terms in spin operators. We provide example calculations for the paradigmatic twisted Kitaev chain material CoNb2⁢O6 and highlight the crucial role of contributions from cross-coupling between polarization and magnetic nonlinear susceptibilities. Our work paves the way for systematic studies of light-matter couplings in quantum magnets and for establishing 2DCS as a versatile tool for probing fractional excitations of exotic magnetic quantum phases.},

note = {datadoi: 10.5281/zenodo.14938103},

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{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{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{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{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{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{jin_floquet_2024,

title = {Floquet Prethermal Order by Disorder},

author = {H. -K. Jin and J. Knolle},

url = {https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.L042033},

doi = {10.1103/PhysRevResearch.6.L042033},

year  = {2024},

date = {2024-11-04},

urldate = {2024-11-01},

journal = {Phys. Rev. Research},

volume = {6},

pages = {L042033},

abstract = {Frustrated magnets can have accidental ground state degeneracies which may be lifted by various forms of disorder, for example in the form of thermal or quantum fluctuations. This order by disorder (ObD) paradigm is well established in equilibrium and here is generalized to Floquet many-body systems. Investigating a periodically-driven XXZ-compass model on the square lattice, we show that in a prethermal regime, dynamical fluctuations induced by high-frequency drives select a discrete set of states out of a degenerate ground state manifold of the lowest order Floquet Hamiltonian chosen as initial states. Remarkably, prior to the ObD selection, an unusual fluctuating regime emerges leading to a prethermalization timescale scaling linearly with the drive frequency. We argue that prethermal ObD with its unusual approach to the selected states is a generic phenomenon of driven frustrated systems and confirm it in the paradigmatic $J_1-J_2$ XX model.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{birnkammerSignaturesDomainwallConfinement2024a,

title = {Signatures of domain-wall confinement in Raman spectroscopy of Ising spin chains},

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

url = {https://link.aps.org/doi/10.1103/PhysRevB.110.134408},

doi = {10.1103/PhysRevB.110.134408},

year  = {2024},

date = {2024-10-03},

urldate = {2024-10-01},

journal = {Phys. Rev. B},

volume = {110},

number = {13},

pages = {134408},

abstract = {Mesonic bound states of domain walls (DWs) can be stabilized in quasi-one-dimensional magnetic compounds. Here, we theoretically study the Raman light scattering response of a twisted Kitaev chain with tilted magnetic fields as a minimal model for confinement in CoNb2⁢O6. By both numerical matrix product states and few-DW variational states, we show that confinement-induced bound states directly manifest themselves as sharp peaks in the Raman response. Remarkably, by tuning the polarization of the incident light field, we demonstrate that the Raman response offers insights into the intrinsic symmetry of the bound-state wave function.},

note = {datadoi: 10.5281/zenodo.8252835},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{jinKineticFerromagnetismTopological2024,

title = {Kinetic ferromagnetism and topological magnons of the hole-doped Kitaev spin liquid},

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

doi = {10.1038/s41535-024-00678-8},

year  = {2024},

date = {2024-09-04},

urldate = {2024-09-01},

journal = {npj Quantum Mater.},

volume = {9},

number = {1},

pages = {65},

abstract = {We study the effect of hole doping on the Kitaev spin liquid (KSL) and find that for ferromagnetic (FM) Kitaev exchange K the system is very susceptible to the formation of a FM spin polarization. Through density matrix renormalization group simulations on finite systems, we uncover that the introduction of a single hole, corresponding to ≈1% hole doping for the system size we consider, with a hopping strength of just t textasciitilde 0.28K is enough to disrupt fractionalization and polarize the spins in the [001] direction due to an order-by-disorder mechanism. Taking into account a material relevant FM anisotropic exchange Γ drives the polarization towards the [111] direction via a transition into a topological FM state with chiral magnon excitations. We develop a parton mean-field theory incorporating fermionic holons and bosonic magnons, which accounts for the doping induced FM phases and topological magnon excitations. We discuss experimental implications for Kitaev candidate materials.},

note = {datadoi: (10.5281/zenodo.8370778)},

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{dasRealizingAltermagnetismFermihubbard2024,

title = {Realizing altermagnetism in fermi-hubbard models with ultracold atoms},

author = {P. Das and V. Leeb and J. Knolle and M. Knap},

url = {https://doi.org/10.1103/PhysRevLett.132.263402},

doi = {10.1103/PhysRevLett.132.263402},

year  = {2024},

date = {2024-06-26},

urldate = {2024-06-01},

journal = {Phys. Rev. Lett.},

volume = {132},

number = {26},

pages = {263402},

abstract = {Altermagnetism represents a type of collinear magnetism, that is in some aspects distinct from ferromagnetism and from conventional antiferromagnetism. In contrast to the latter, sublattices of opposite spin are related by spatial rotations and not only by translations and inversions. As a result, altermagnets have spin-split bands leading to unique experimental signatures. Here, we show theoretically how a 𝑑-wave altermagnetic phase can be realized with ultracold fermionic atoms in optical lattices. We propose an altermagnetic Hubbard model with anisotropic next-nearest neighbor hopping and obtain the Hartree-Fock phase diagram. The altermagnetic phase separates in a metallic and an insulating phase and is robust over a large parameter regime. We show that one of the defining characteristics of altermagnetism, the anisotropic spin transport, can be probed with trap-expansion experiments.},

note = {datadoi: 10.5281/zenodo.10391823},

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{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}

}

@article{huberQuantumOscillationsQuasiparticle2023,

title = {Quantum oscillations of the quasiparticle lifetime in a metal},

author = {N. Huber and V. Leeb and A. Bauer and G. Benka and J. Knolle and C. Pfleiderer and M. A. Wilde},

url = {https://doi.org/10.1038/s41586-023-06330-y},

doi = {10.1038/s41586-023-06330-y},

issn = {0028-0836},

year  = {2023},

date = {2023-08-02},

urldate = {2023-08-02},

journal = {Nature},

volume = {621},

pages = {276},

abstract = {Following nearly a century of research, it remains a puzzle that the low-lying excitations of metals are remarkably well explained by effective single-particle theories of non-interacting bands(1-4). The abundance of interactions in real materials raises the question of direct spectroscopic signatures of phenomena beyond effective single-particle, single-band behaviour. Here we report the identification of quantum oscillations (QOs) in the three-dimensional topological semimetal CoSi, which defy the standard description in two fundamental aspects. First, the oscillation frequency corresponds to the difference of semiclassical quasiparticle (QP) orbits of two bands, which are forbidden as half of the trajectory would oppose the Lorentz force. Second, the oscillations exist up to above 50 K, in strong contrast to all other oscillatory components, which vanish below a few kelvin. Our findings are in excellent agreement with generic model calculations of QOs of the QP lifetime (QPL). Because the only precondition for their existence is a nonlinear coupling of at least two electronic orbits, for example, owing to QP scattering on defects or collective excitations, such QOs of the QPL are generic for any metal featuring Landau quantization with several orbits. They are consistent with certain frequencies in topological semimetals(5-9), unconventional superconductors(10,11), rare-earth compounds(12-14) and Rashba systems(15), and permit to identify and gauge correlation phenomena, for example, in two-dimensional materials(16,17) and multiband metals(18).},

note = {datadoi: 10.5281/zenodo.7957066},

keywords = {},

pubstate = {published},

tppubtype = {article}

}