Global Quenches after Localised Perturbations

Abstract

We investigate the effect of a single spin flip preceding a global quench between translationally invariant local Hamiltonians in spin-$\frac{1}{2}$ chains. The effect of the localised perturbation does not fade away however large the distance from the perturbation is. In particular, translational invariance is not restored and the infinite time limit depends on whether the spin was flipped or not. We argue that this phenomenon is more general than the particular example considered and we conjecture that it is triggered by topological properties, specifically, the existence of "semilocal charges".

arXiv comment6 pages, 3 figures; v4: minor refinement

References in corpus (73)

• Chaos and Quantum Thermalization
• Nonequilibrium dynamics of closed interacting quantum systems
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Quantum many-body systems out of equilibrium
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Quantum Quench in the Transverse Field Ising Chain
• Generalized Gibbs ensemble in integrable lattice models
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Time evolution of local observables after quenching to an integrable model
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Quantum quenches in 1+1 dimensional conformal field theories
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Quasilocal charges in integrable lattice systems
• Alternatives to Eigenstate Thermalization
• Reduced Density Matrix after a Quantum Quench
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• "Light-cone" dynamics after quantum quenches in spin chains
• Solvable Hydrodynamics of Quantum Integrable Systems
• Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
• Conformal field theory out of equilibrium: a review
• What is an integrable quench?
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Evolution of entanglement after a local quench
• Generalized hydrodynamics in strongly interacting 1D Bose gases
• A note on generalized hydrodynamics: inhomogeneous fields and other concepts
• Generalized Gibbs Ensembles for Quantum Field Theories
• Quantum Generalized Hydrodynamics
• Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Generalized hydrodynamics with space-time inhomogeneous interactions
• On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
• Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
• Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
• The isolated Heisenberg magnet as a quantum time crystal
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Determination of the Nonequilibrium Steady State Emerging from a Defect
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Thermalization and pseudolocality in extended quantum systems
• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• Entanglement spreading after a geometric quench in quantum spin chains
• Exactly conserved quasilocal operators for the XXZ spin chain
• Energy transport between two integrable spin chains
• Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
• Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods
• Domain-wall melting in the spin-$1/2$ XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
• Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
• How order melts after quantum quenches
• Quasilocal conservation laws from semicyclic irreducible representations of $U_q({\mathfrak{sl}}_2)$ in $XXZ$ spin-$1/2$ chains
• Locally quasi-stationary states in noninteracting spin chains
• Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
• Excited state correlations of the finite Heisenberg chain
• Geometric quenches in quantum integrable systems
• Non-Equilibrium Conformal Field Theories with Impurities
• Equilibration towards generalized Gibbs ensembles in non-interacting theories
• Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
• Hydrodynamical phase transition for domain-wall melting in the XY chain
• Non-equilibrium quantum transport in presence of a defect: the non-interacting case
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltonians
• Rigorous bounds on dynamical response functions and time-translation symmetry breaking
• Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
• A new class of completely integrable quantum spin chains
• Front dynamics in the XY chain after local excitations
• Lack of thermalization for integrability-breaking impurities
• Entanglement spreading after local fermionic excitations in the XXZ chain

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• Measurement catastrophe and ballistic spread of charge density with vanishing current
• Universality in the tripartite information after global quenches
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• Quantum jamming brings quantum mechanics to macroscopic scales
• Growing Schrödinger's cat states by local unitary time evolution of product states
• Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
• Generalized hydrodynamics of integrable quantum circuits
• Integrability and charge transport in asymmetric quantum-circuit geometries
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• $su(2)$ symmetry of XX spin chains