Local quenches with global effects in interacting quantum systems

Abstract

We study one-dimensional lattices of interacting spins-1/2 and show that the effects of quenching the amplitude of a local magnetic field applied to a single site of the lattice can be comparable to the effects of a global perturbation applied instantaneously to the entire system. Both quenches take the system to the chaotic domain, the energy distribution of the initial states approaches a Breit-Wigner shape, the fidelity (Loschmidt echo) decays exponentially, and thermalization becomes viable.

10 pages, 8 figures, version as published

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• Incoherent transport induced by a single static impurity in a Heisenberg chain
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• Dynamics of thermalisation in small Hubbard-model systems

Cited by in corpus (79)

• Quantum many-body systems out of equilibrium
• Finite-temperature transport in one-dimensional quantum lattice models
• Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
• Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
• Thouless and relaxation time scales in many-body quantum systems
• Eigenstate Thermalization in a Locally Perturbed Integrable System
• Eigenstate thermalization and quantum chaos in the Holstein polaron model
• Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
• Extended nonergodic states in disordered many-body quantum systems
• Entanglement dynamics in quantum many-body systems
• Excited-state quantum phase transitions in many-body systems with infinite-range interaction: Localization, dynamics, and bifurcation
• Structure of eigenstates and quench dynamics at an excited state quantum phase transition
• Cooperative shielding in many-body systems with long-range interaction
• Low-frequency behavior of off-diagonal matrix elements in the integrable XXZ chain and in a locally perturbed quantum-chaotic XXZ chain
• Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
• Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
• High-temperature coherent transport in the XXZ chain in the presence of an impurity
• Eigenstate thermalization hypothesis and its deviations from random-matrix theory beyond the thermalization time
• Thermalization of dilute impurities in one dimensional spin chains
• Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
• Speck of Chaos
• Eigenstate thermalization hypothesis through the lens of autocorrelation functions
• Power-law decay exponents: a dynamical criterion for predicting thermalization
• Onset of many-body quantum chaos due to breaking integrability
• Nonexponential fidelity decay in isolated interacting quantum systems
• Realistic many-body quantum systems vs full random matrices: static and dynamical properties
• Relaxation and Thermalization of Isolated Many-Body Quantum Systems
• Quantum coherence as a signature of chaos
• Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
• Atypicality of Most Few-Body Observables
• Loschmidt Echo in Many-Body Localized Phase
• Exponentially fast dynamics of chaotic many-body systems
• Effects of excited state quantum phase transitions on system dynamics
• Degenerate observables and the many Eigenstate Thermalization Hypotheses
• Self-averaging in many-body quantum systems out of equilibrium. II. Approach to the localized phase
• Chaos in the three-site Bose-Hubbard model -- classical vs quantum
• Quantum scars and bulk coherence in a symmetry-protected topological phase
• Decay of a Thermofield-Double State in Chaotic Quantum Systems
• Thouless Energy Challenges Thermalization on the Ergodic Side of the Many-Body Localization Transition
• Analytical description of the survival probability of coherent states in regular regimes
• From few- to many-body quantum systems
• Transport through interacting defects and lack of thermalisation
• Signatures of chaos and thermalization in the dynamics of many-body quantum systems
• Chaos in the Bose-Hubbard model and random two-body Hamiltonians
• Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain
• Characterization of random features of chaotic eigenfunctions in unperturbed basis
• Transient Loschmidt Echo in Quenched Ising Chains
• Hydrodynamics of local excitations after an interaction quench in 1D cold atomic gases
• How many particles make up a chaotic many-body quantum system?
• Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
• Odd thermodynamic limit for the Loschmidt echo
• Thermalization of locally perturbed many-body quantum systems
• Boundary Chaos
• Quantum Revivals in Conformal Field Theories in Higher Dimensions
• Quantum-classical correspondence of strongly chaotic many-body spin models
• Fermionic Magic Resources of Quantum Many-Body Systems
• Statistical distribution of components of energy eigenfunctions: from nearly-integrable to chaotic
• Generalized Survival Probability
• Canonical density matrices from eigenstates of mixed systems
• Spectral form factor and energy correlations in banded random matrices
• Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
• Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices
• Entanglement in dual unitary quantum circuits with impurities
• Loschmidt echo of local dynamical processes in integrable and non integrable spin chains
• Allosteric impurity effects in long spin chains
• From Dyson Models to Many-Body Quantum Chaos
• Out-of-equilibrium Eigenstate Thermalization Hypothesis
• Onset of Quantum Chaos and Ergodicity in Spin Systems with Highly Degenerate Hilbert Spaces
• Quantum Liang Information Flow Probe of Causality across Critical Points
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Critical quantum dynamics of observables at eigenstate transitions
• Transition to chaos in extended systems and their quantum impurity models
• Ergodicity breaking transition in zero dimensions
• Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems
• Boundary Chaos: Spectral Form Factor
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Survival Probability, Particle Imbalance, and Their Relationship in Quadratic Models
• Nonequilibrium localization and the interplay between disorder and interactions
• Absence of thermalization after a local quench and strong violation of the eigenstate thermalization hypothesis