Quantum quench in long-range field theories

Abstract

We study equilibration properties of observables in long-range field theories after the mass quench in $d=1,2$ and $3$ dimensions. We classify the regimes where we expect equilibration or its absence in different dimensions. In addition we study the effect of the initial state in the equilibration properties of our system. In the case of free field theories we show that whenever we have equilibration the long-time limit of correlations can be described by the Generalized Gibbs Ensemble. We prove that all integrals of motions in our system are non-local.

14 pages, 8 figures, V2: published version

References in corpus (93)

• 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
• Time-dependence of correlation functions following a quantum quench
• Statistical mechanics and dynamics of solvable models with long-range interactions
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Observation of entanglement propagation in a quantum many-body system
• Non-local propagation of correlations in long-range interacting quantum systems
• Quantum Quench in the Transverse Field Ising Chain
• Quantum Quenches in Extended Systems
• Spectral Gap and Exponential Decay of Correlations
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Time evolution of local observables after quenching to an integrable model
• Breakdown of thermalization in finite one-dimensional systems
• The Luttinger model following a sudden interaction switch-on
• Interaction Quench in the Hubbard model
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Dephasing and the steady state in quantum many-particle systems
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Spread of correlations in long-range interacting quantum systems
• Alternatives to Eigenstate Thermalization
• Reduced Density Matrix after a Quantum Quench
• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
• Strongly correlated fermions after a quantum quench
• Quantum quench dynamics of the Luttinger model
• Quantum quench dynamics of some exactly solvable models in one dimension
• Solution for an interaction quench in the Lieb-Liniger Bose gas
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Entanglement entropy for the long range Ising chain
• Quantum quenches and thermalization in one-dimensional fermionic systems
• Propagation of Correlations in Quantum Lattice Systems
• Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Entanglement growth in quench dynamics with variable range interactions
• Quantum Quenches in Integrable Field Theories
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Dynamical Correlations after a Quantum Quench
• A quantum central limit theorem for non-equilibrium systems: Exact local relaxation of correlated states
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Dynamical vanishing of the order parameter in a fermionic condensate
• Analytic results for a quantum quench from free to hard-core one dimensional bosons
• Pre-thermalization in a non-integrable quantum spin chain after a quench
• Equilibration of a Tonks-Girardeau gas following a trap release
• Breakdown of quasilocality in long-range quantum lattice models
• Quench Dynamics in a Model with Tuneable Integrability Breaking
• Long range correlations in the non-equilibrium quantum relaxation of a spin chain
• Entropy of isolated quantum systems after a quench
• Quantum quench in interacting field theory: a self-consistent approximation
• Thermalization and Quantum Correlations in Exactly Solvable Models
• Quantum quench in the sine-Gordon model
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Infinite-time Average of Local Fields in an Integrable Quantum Field Theory after a Quantum Quench
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Interaction quenches in the 1D Bose gas
• Semi-classical theory for quantum quenches in finite transverse Ising chains
• On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
• Dynamics in the Ising field theory after a quantum quench
• Persistence of locality in systems with power-law interactions
• Quantum Quenches in the Thermodynamic Limit
• Crossover from adiabatic to sudden interaction quenches in the Hubbard model: Prethermalization and nonequilibrium dynamics
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Real-time evolution for weak interaction quenches in quantum systems
• Diverging equilibration times in long-range quantum spin models
• Quench dynamics of the interacting Bose gas in one dimension
• The boundary between long-range and short-range critical behavior
• Relations between Short Range and Long Range Ising models
• Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
• Entanglement dynamics in short and long-range harmonic oscillators
• Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
• Quantum quenches from excited states in the Ising chain
• Quench Dynamics of the Anisotropic Heisenberg Model
• Mean values of local operators in highly excited Bethe states
• Boundary State in an Integrable Quantum Field Theory Out of Equilibrium
• Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
• Influence of long-range interactions on the critical behavior of the Ising model
• Nonequivalence of ensembles for long-range quantum spin systems in optical lattices
• Quantum Quench of the trap frequency in the harmonic Calogero model
• Prethermalization and dynamical transition in an isolated trapped ion spin chain
• Quantum entanglement entropy and classical mutual information in long-range harmonic oscillators
• Quantum spin models with long-range interactions and tunnelings: A quantum Monte Carlo study
• Semi-classical theory for quantum quenches in the O(3) non-linear sigma model
• Entanglement entropy in long-range harmonic oscillators
• Destruction of Long-range Order by Quenching the Hopping Range in One Dimension

Cited by in corpus (34)

• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Quantum quenches in 1+1 dimensional conformal field theories
• Long-range interacting quantum systems
• The Quench Action
• Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
• Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Causality and quantum criticality in long-range lattice models
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Non-analytic behavior of the Loschmidt echo in XXZ spin chains: exact results
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Quantum Quenches in the Luttinger model and its close relatives
• Pre-relaxation in weakly interacting models
• Metastability and discrete spectrum of long-range systems
• Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
• Violation of Cluster Decomposition and Absence of Light-Cones in Local Integer and Half-Integer Spin Chains
• Criticality of Spin Systems with Weak Long-Range Interactions
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Approximate light cone effects in a non-relativistic quantum field theory after a local quench
• Interplay of Soundcone and Supersonic Propagation in Lattice Models with Power Law Interactions
• Entanglement Evolution in Lifshitz-type Scalar Theories
• Singular dynamics and emergence of nonlocality in long-range quantum models
• Non-equilibrium quantum transport in presence of a defect: the non-interacting case
• Equilibration and GGE in interacting-to-free Quantum Quenches in dimensions d>1
• Entanglement entropy of the long-range Dyson hierarchical model
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Entanglement in Lifshitz Fermion Theories
• Entanglement after Quantum Quenches in Lifshitz Scalar Theories
• Aspects of entanglement in non-local field theories with fractional Laplacian
• Probing Klein tunneling through quantum quenches
• Long-range interactions from $U\left(1\right)$ gauge fields via dimensional mismatch
• Thermalization and non-monotonic entanglement growth in an exactly solvable model
• Configurable photonic simulator for quantum field dynamics