Spectral response of disorder-free localized lattice gauge theories
arXiv:2211.14328 · doi:10.1103/PhysRevLett.131.220402
Abstract
We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions: a few sharp peaks combined with vanishing response in the zero frequency limit. This reflects the discrete spectra of small clusters of kinetically active regions formed in such gauge theories when they fragment into spatially finite clusters in the localized phase due to the presence of static charges. We obtain the transverse component of the dynamic structure factor, which is probed by neutron scattering experiments, deep in this phase from a combination of analytical estimates and a numerical cluster expansion. We also show that local spectral functions of large finite clusters host discrete peaks whose positions agree with our analytical estimates. Further, information spreading, diagnosed by an unequal time commutator, halts due to real space fragmentation. Our results can be used to distinguish the disorder-free localized phase from conventional paramagnetic counterparts in those frustrated magnets which might realize such an emergent gauge theory.
arXiv comment5 pages, 3 figures
References in corpus (34)
- Fault-tolerant quantum computation by anyons
- A bound on chaos
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Ising models of quantum frustration
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Floquet approach to lattice gauge theories with ultracold atoms in optical lattices
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- Avalanches and many-body resonances in many-body localized systems
- Stark many-body localization
- Disorder-Free Localization
- Thermalization dynamics of a gauge theory on a quantum simulator
- Many-body localization dynamics from gauge invariance
- Spectral features of a many-body localized system weakly coupled to a heat bath
- Three dimensional resonating valence bond liquids and their excitations
- Quasi Many-body Localization in Translation Invariant Systems
- Dynamics of many-body localisation in a translation invariant quantum glass model
- Spin-current autocorrelations from single pure-state propagation
- Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
- Regression relation for pure quantum states and its implications for efficient computing
- Disorder-free localization in an interacting two-dimensional lattice gauge theory
- Typicality approach to the optical conductivity in thermal and many-body localized phases
- Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
- Thermal transport in a two-dimensional spin liquid
- Enhancing disorder-free localization through dynamically emergent local symmetries
- Hilbert space shattering and disorder-free localization in polar lattice gases
- Disorder-free localization in a simple lattice gauge theory
- Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
- The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation