Quantum Quenches in Extended Systems

Abstract

We study in general the time-evolution of correlation functions in a extended quantum system after the quench of a parameter in the hamiltonian. We show that correlation functions in d dimensions can be extracted using methods of boundary critical phenomena in d+1 dimensions. For d=1 this allows to use the powerful tools of conformal field theory in the case of critical evolution. Several results are obtained in generic dimension in the gaussian (mean-field) approximation. These predictions are checked against the real-time evolution of some solvable models that allows also to understand which features are valid beyond the critical evolution. All our findings may be explained in terms of a picture generally valid, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate with a finite speed through the system. Furthermore we show that the long-time results can be interpreted in terms of a generalized Gibbs ensemble. We discuss some open questions and possible future developments.

24 Pages, 4 figures

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• Quench dynamics of the Ising field theory in a magnetic field
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• Quantum quench in long-range field theories
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• Comments on Thermalization in 2D CFT
• Open quantum dynamics induced by light scalar fields
• Entanglement Evolution in Lifshitz-type Scalar Theories
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Evolution of entanglement entropy in the D1-D5 brane system
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• Non-equilibrium quantum transport in presence of a defect: the non-interacting case
• Experimental Observation of Curved Light-Cones in a Quantum Field Simulator
• Test of quantum thermalization in the two-dimensional transverse-field Ising model
• Operator content of entanglement spectra after global quenches in the transverse field Ising chain
• Quantum Quench of the trap frequency in the harmonic Calogero model
• Universal corrections to entanglement entropy of local quantum quenches
• Quantum quenches in two spatial dimensions using chain array matrix product states
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• Light-cone velocities after a global quench in a non-interacting model
• Dissipation-assisted prethermalization in long-range interacting atomic ensembles
• Mixing times and cutoffs in open quadratic fermionic systems
• Bloch oscillations and the lack of the decay of the false vacuum in a one-dimensional quantum spin chain
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• Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
• Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
• Quench echo and work statistics in integrable quantum field theories
• Measuring effective temperatures in a generalized Gibbs ensemble
• Quench action and large deviations: work statistics in the one-dimensional Bose gas
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Quantum relaxation and metastability of lattice bosons with cavity-induced long-range interactions
• Prethermalization at Low Temperature: the Scent of Long-Range Order
• Quantum XX-model with competing short- and long-range interactions: Phases and phase transitions in and out of equilibrium
• Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
• Initial state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Relaxation of the order-parameter statistics in the Ising quantum chain
• Quantum quench in 1D: Coherent inhomogeneity amplification and 'supersolitons'
• Decodable hybrid dynamics of open quantum systems with Z_2 symmetry
• Universal equilibrium scaling functions at short times after a quench
• On periodically driven AdS/CFT
• Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
• An Exactly Solvable Model for the Integrability-Chaos Transition in Rough Quantum Billiards
• Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
• A time and spatially resolved quench of the fermionic Hubbard model showing restricted equilibration
• $Large-scale$ thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
• Euler-scale dynamical correlations in integrable systems with fluid motion
• Non-equilibrium quantum dynamics after local quenches
• Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Quenching the magnetic flux in 1d fermionic ring: Loschmidt echo and edge singularity
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• Exact work statistics of quantum quenches in the anisotropic XY model
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• Exploring the Membrane Theory of Entanglement Dynamics
• Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
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• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
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• Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
• Prethermalization in a quenched one-dimensional quantum fluid of light: Intrinsic limits to the coherent propagation of a light beam in a nonlinear optical fiber
• Exact Real Time Dynamics of Quantum Spin Systems Using the Positive-P Representation
• Critical properties of the prethermal Floquet Time Crystal
• Engineering generalized Gibbs ensembles with trapped ions
• False vacuum decay in the 1+1 dimensional ${\phi }^4$ theory
• Perturbative post-quench overlaps in Quantum Field Theory
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• Superluminal moving defects in the Ising spin chain
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• Detecting a long lived false vacuum with quantum quenches
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• A supercritical superfluid and vortex unbinding following a quantum quench
• Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
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• Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques
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• Entanglement properties of the critical quench of O(N) bosons
• Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations
• Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
• Dynamics of the order-parameter statistics in the long-range Ising model
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Strong coupling from non-equilibrium Monte Carlo simulations
• Thermalization dynamics close to a quantum phase transition
• Dynamical depinning of a Tonks Girardeau gas
• Postquench prethermalization in a disordered quantum fluid of light
• Relaxation and entropy generation after quenching quantum spin chains
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Exact results in Floquet coin toss for driven integrable models
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Long-range entanglement and topological excitations
• Entanglement and level crossings in frustrated ferromagnetic rings
• Entanglement renormalization and boundary critical phenomena
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Black holes often saturate entanglement entropy the fastest
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• Measuring the distance between quantum many-body wave functions
• Marginal quenches and drives in Tomonaga-Luttinger liquids
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Far-from-equilibrium dynamics of an ultracold Fermi gas
• Exactly solvable many-body dynamics from space-time duality
• Real-time gravitational replicas: Low dimensional examples
• Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
• Circuit Complexity in an interacting quenched Quantum Field Theory
• The generalized Gibbs ensemble as a pseudo-initial state: its predictive power revealed in a second quench
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• Universal out-of-equilibrium dynamics of 1D critical quantum systems perturbed by noise coupled to energy
• Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices
• Two simple systems with cold atoms: quantum chaos tests and nonequilibrium dynamics
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Universality of fast quenches from the conformal perturbation theory
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations
• Entanglement dynamics of thermofield double states in integrable models
• Holographic quenches towards a Lifshitz point
• Restricted Thermalization for Two Interacting Atoms in a Multimode Harmonic Waveguide
• Subsystem complexity after a local quantum quench
• Exploring Dynamical Phase Transitions in the XY Chain through Linear Quench: Early and Long-term Perspectives
• Destruction of Long-range Order by Quenching the Hopping Range in One Dimension
• Correlation evolution in dilute Bose-Einstein condensates after quantum quenches
• On fast quenches and spinning correlators
• Thermally isolated Luttinger liquids with noisy Hamiltonians
• Entanglement in interacting quenched two-body coupled oscillator system
• Operator thermalisation in $d>2$: Huygens or resurgence
• Fermion-induced Dynamical Critical Point
• Hierarchy of double-time correlations
• Evaporating Black Holes Coupled to a Thermal Bath
• Entanglement Rényi Entropies from Ballistic Fluctuation Theory: the free fermionic case
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Non-Thermal Behavior in Conformal Boundary States
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Entanglement entropy in inhomogeneous quenches in AdS${}_3$/CFT${}_2$
• Generalized Gibbs Ensemble Description of Real Space Entanglement Spectra of (2+1)-dimensional Chiral Topological Systems with $SU(2)$ Symmetry
• Domain wall dynamics in a two-component Bose-Mott insulator
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Scaling of the Formation Probabilities and Universal Boundary Entropies in the Quantum XY Spin Chain
• Non-equilibrium dynamics in Holography
• A quantum information perspective on meson melting
• Reconstructing Thermal Quantum Quench Dynamics from Pure States
• Tunneling of polarized fermions in 3D double wells
• All-optical pump-and-probe detection of dynamical correlations in a two-dimensional Fermi gas
• Proposal for high-fidelity quantum simulation using a hybrid dressed state
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• Quench dynamics of Rényi negativities and the quasiparticle picture
• Quantum Local Quench, AdS/BCFT and Yo-Yo String
• Escaping fronts in local quenches of a confining spin chain
• On the Dynamics of XY Spin Chains with Impurities
• Dynamics and thermalization in correlated one-dimensional lattice systems
• Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
• Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models
• Local quench within the Keldysh technique
• Universal scaling of work statistics for quantum quenches
• Non-equilibrium time evolution in the sine-Gordon model revisited
• Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
• Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
• Entanglement Properties of Boundary State and Thermalization
• Area laws and thermalization from classical entropies in a Bose-Einstein condensate
• Breakdown of quantum-classical correspondence and dynamical generation of entanglement
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• Local Information Flow in Quantum Quench Dynamics
• Inhomogeneous Thermal Quenches
• Momentum-space entanglement after smooth quenches
• Universal time evolution of string order parameter in quantum critical systems with boundary invertible or non-invertible symmetry breaking
• Entanglement Entropy with a Time-dependent Hamiltonian
• Quantum Joule Expansion of One-Dimensional Systems
• Exact mapping from the $(3+1)$-dimensional Skyrme model to the $(1+1)$-dimensional sine-Gordon theory and some applications
• Quantum Correlations in Field Theory and Integrable Systems
• Coherent charge and spin oscillations induced by local quenches in nanowires with spin-orbit coupling
• Finite-time quantum quenches in the XXZ Heisenberg chain
• Holographic entanglement entropy beyond coherent states
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Exact quantum dynamics of yrast states in the finite 1D Bose gas
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Noisy quantum phase transitions: an intuitive approach
• Non-equilibrium Wilson loops in N=4 SYM
• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Thermal Correction to Entanglement Spectrum for Conformal Field Theories
• Quench dynamics and statistics of measurements for a line of quantum spins in two dimensions
• Non-equilibrium Quantum Many-Body Dynamics: Functional Integral Approaches
• Spread of Entanglement in Non-Relativistic Theories
• From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
• Confinement and false vacuum decay on the Potts quantum spin chain
• Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS
• Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Configurable photonic simulator for quantum field dynamics
• (2+1)D topological phases with RT symmetry: many-body invariant, classification, and higher order edge modes
• Observable-enriched entanglement
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench
• Old and New Scaling Laws in Quantum Quench
• Quantum wake dynamics in Heisenberg antiferromagnetic chains
• Bubble quenches in the AdS/BCFT model
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions
• Electrostatic solution of massless quenches in Luttinger liquids
• Effective metal-insulator non-equilibrium quantum phase transition
• Theoretical study on thermalization in isolated quantum systems
• Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States
• Designing non-equilibrium states of quantum matter through stochastic resetting
• Entanglement Spreading and Oscillation
• Excited states from local effective Hamiltonians of matrix product states and their entanglement spectrum transition
• Time evolution of effective central charge and signatures of RG irreversibility after a quantum quench
• Relaxation dynamics in the (double) sine-Gordon model: An open-system viewpoint