Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain

Abstract

Dynamic correlation and response functions of classical and quantum systems in thermal equilibrium are connected by fluctuation-dissipation theorems, which allow an alternative definition of their (unique) temperature. Motivated by this fundamental property, we revisit the issue of thermalization of closed many-body quantum systems long after a sudden quench, focussing on the non-equilibrium dynamics of the Ising chain in a critical transverse field. We show the emergence of distinct observable-dependent effective temperatures, which rule out Gibbs thermalization in a strict sense but might still have a thermodynamic meaning.

5 pages, 3 figures

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Cited by in corpus (74)

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• The effective temperature
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• Prethermalization and universal dynamics in near-integrable quantum systems
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Dynamical Correlations after a Quantum Quench
• 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
• Eigenstate thermalization in the two-dimensional transverse field Ising model
• Interaction quenches in the 1D Bose gas
• Fluctuation-Dissipation Theorem in an Isolated System of Quantum Dipolar Bosons after a Quench
• Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action
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• Equilibration Properties of Classical Integrable Field Theories
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• Pre-relaxation in weakly interacting models
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
• Optical response of highly excited particles in a strongly correlated system
• Dynamic correlations, fluctuation-dissipation relations, and effective temperatures after a quantum quench of the transverse field Ising chain
• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Cavity-mediated near-critical dissipative dynamics of a driven condensate
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
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• Non-equilibrium dynamics of coupled Luttinger liquids
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Edge singularities and quasi-long-range order in non-equilibrium steady states
• Crossover from the classical to the quantum Kibble-Zurek scaling
• Dissipation-assisted prethermalization in long-range interacting atomic ensembles
• Measuring effective temperatures in a generalized Gibbs ensemble
• Prethermalization from a low-density Holstein-Primakoff expansion
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• On Truncated Generalized Gibbs Ensembles in the Ising Field Theory
• Probing non-thermal density fluctuations in the one-dimensional Bose gas
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• Semi-classical theory for quantum quenches in the O(3) non-linear sigma model
• Stationary state after a quench to the Lieb-Liniger from rotating BECs
• Nonequilibrium current-carrying steady states in the anisotropic $XY$ spin chain
• Nonequilibrium quench dynamics in quantum quasicrystals
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Transport Across an Impurity in One Dimensional Quantum Liquids Far From Equilibrium
• Quantum quench dynamics of the Coulomb Luttinger model
• Out of equilibrium dynamics of classical and quantum complex systems
• Critical relaxation with overdamped quasiparticles in open quantum systems
• Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
• Eigenstate thermalization hypothesis and eigenstate-to-eigenstate fluctuations
• Fluctuation-dissipation relation for a Bose-Einstein condensate of photons
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Transient Loschmidt Echo in Quenched Ising Chains
• Quantum quenches, linear response and superfluidity out of equilibrium
• Defining the effective temperature of a quantum driven system from current-current correlation functions
• Local quantum criticality out of equilibrium - effective temperatures and scaling in the steady state regime
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Response functions after a quantum quench
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Local Quantum Thermometry using Unruh-De Witt detectors
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Quantum Correlations in Field Theory and Integrable Systems
• Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
• Diffusion and Thermalization in a Boundary-Driven Dephasing Model
• Finite time path field theory and a new type of universal quantum spin chain quench behavior
• Finite time path field theory perturbative methods for local quantum spin chain quenches
• Qudit-native measurement protocol for dynamical correlations using Hadamard tests