Quasilocalized dynamics from confinement of quantum excitations

Abstract

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signalled by severe suppression of quantum correlation spreading and of entanglement growth, long-time persistence of spatial inhomogeneities, and long-lived coherent oscillations of local observables. In this work, we present a unified understanding of these dramatic effects. The slow dynamical behavior is shown to be related to the Schwinger effect in quantum electrodynamics. We demonstrate that it is quantitatively captured for long time scales by effective Hamiltonians exhibiting Stark localization of excitations and weak growth of the entanglement entropy for arbitrary coupling strength. This analysis explains the phenomenology of real-time string dynamics investigated in a number of lattice gauge theories, as well as the anomalous dynamics observed in quantum Ising chains after quenches. Our findings establish confinement as a robust mechanism for hindering the approach to equilibrium in translationally-invariant quantum statistical systems with local interactions.

arXiv comment7+12 pages, 3+7 figures. v2: close to published version. Selected as "Editors' Suggestion" in Physical Review B

References in corpus (90)

• Entanglement Entropy and Quantum Field Theory
• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Nonequilibrium dynamics of closed interacting quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Quantum many-body systems out of equilibrium
• Unbounded growth of entanglement in models of many-body localization
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Dynamics of a Quantum Phase Transition
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Universal slow growth of entanglement in interacting strongly disordered systems
• Schrieffer-Wolff transformation for quantum many-body systems
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Localization from Hilbert space shattering: from theory to physical realizations
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Strong and weak thermalization of infinite non-integrable quantum systems
• Real time confinement following a quantum quench to a non-integrable model
• Quantum Link Models: A Discrete Approach to Gauge Theories
• A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
• Solution of a minimal model for many-body quantum chaos
• Entanglement dynamics after quantum quenches in generic integrable systems
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• A criterion for many-body localization-delocalization phase transition
• Emergence of Coherent Long Wavelength Oscillations After a Quench: Application to QCD
• Stark many-body localization
• Disorder-Free Localization
• Prethermalization and universal dynamics in near-integrable quantum systems
• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Localization and Glassy Dynamics Of Many-Body Quantum Systems
• Many-body localization dynamics from gauge invariance
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Nonthermal states arising from confinement in one and two dimensions
• Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
• Quasi Many-body Localization in Translation Invariant Systems
• Dynamics of many-body localisation in a translation invariant quantum glass model
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Dynamics in many-body localized quantum systems without disorder
• Experimental Observation of Bethe Strings
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Signatures of rare states and thermalization in a theory with confinement
• Quantum Slow Relaxation and Metastability due to Dynamical Constraints
• Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization
• Non-Abelian string breaking phenomena with Matrix Product States
• Simulating fermion production in 1+1 dimensional QED
• Real-time dynamics of string breaking
• Confinement and lack of thermalization after quenches in the bosonic Schwinger model
• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Real-time simulation of the Schwinger effect with Matrix Product States
• Quantum East model: localization, non-thermal eigenstates and slow dynamics
• Asymptotic quantum many-body localization from thermal disorder
• Scenario for delocalization in translation invariant systems
• Quasi-localized excitations induced by long-range interactions in translationally-invariant quantum spin chains
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
• Dynamical Localization in ${\mathbb{Z}}_2$ Lattice Gauge Theories
• Removing Staggered Fermionic Matter in $U(N)$ and $SU(N)$ Lattice Gauge Theories
• Decay of particles above threshold in the Ising field theory with magnetic field
• Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1+1 dimensions
• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
• Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
• Quantum simulation of $(1+1)$-dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
• Signatures of many-body localisation in a system without disorder and the relation to a glass transition
• Thermal equilibrium of a macroscopic quantum system in a pure state
• Real-time-dynamics quantum simulation of (1+1)-D lattice QED with Rydberg atoms
• Decay of the metastable phase in d=1 and d=2 Ising models
• Quantum quenches with integrable pre-quench dynamics
• Large-n excitations in the ferromagnetic Ising field theory in a small magnetic field: mass spectrum and decay widths
• Slow Dynamics in Translation-Invariant Quantum Lattice Models
• Fractons from confinement in one dimension
• Investigation of soliton bound states in the Raman spectrum of pure and doped spin-Peierls chains
• Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice
• Deconfinement in d=1: A closer look
• Explicit construction of quasi-conserved local operator of translationally invariant non-integrable quantum spin chain in prethermalization
• Kink confinement in the antiferromagnetic XXZ spin-1/2 chain in a weak staggered magnetic field
• Very slow heating for weakly driven quantum many-body systems
• Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems
• Confinement: a real-time visualization
• Lack of thermalization in (1+1)-d QCD at large $N_c$
• Frustration induced quasi-many-body localization without disorder

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• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Collisions of false-vacuum bubble walls in a quantum spin chain
• Stark many-body localization: Evidence for Hilbert-space shattering
• Scattering of mesons in quantum simulators
• Prethermalization in one-dimensional quantum many-body systems with confinement
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• Fragmentation and emergent integrable transport in the weakly tilted Ising chain
• Scaling of temporal entanglement in proximity to integrability
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• Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
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• Transport through interacting defects and lack of thermalisation
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• Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators
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• Dynamical localization transition of string breaking in quantum spin chains
• Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Theory of metastable states in many-body quantum systems
• Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Magnetization oscillations in a periodically driven transverse field Ising chain
• Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
• A quantum information perspective on meson melting
• Fractionalized holes in one-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to fermion matter -- deconfined dynamics and emergent integrability
• Escaping fronts in local quenches of a confining spin chain
• String-Breaking Dynamics in Quantum Adiabatic and Diabatic Processes
• State-dependent mobility edge in kinetically constrained models
• Dynamical deconfinement transition driven by density of excitations
• A hydrodynamic approach to Stark localization
• Kinetically constrained models constructed from dissipative quantum dynamics
• Entangled quantum cellular automata, physical complexity, and Goldilocks rules
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation
• Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice
• Confinement and false vacuum decay on the Potts quantum spin chain
• Localization and melting of interfaces in the two-dimensional quantum Ising model
• Designing non-equilibrium states of quantum matter through stochastic resetting
• Relativistic meson spectra on ion-trap quantum simulators
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Meson dynamics from locally exciting a particle-conserving $Z_2$ lattice gauge theory