Dynamics of a Quantum Phase Transition and Relaxation to a Steady State

Abstract

We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase, and apparent relaxation of an excited system after a sudden quench of a parameter in its Hamiltonian. Accordingly the review is divided into two parts. The first part revolves around a quantum version of the Kibble-Zurek mechanism including also phenomena that go beyond this simple paradigm. What they have in common is that excitation of a gapless many-body system scales with a power of the driving rate. The second part attempts a systematic presentation of recent results and conjectures on apparent relaxation of a pure state of an isolated quantum many-body system after its excitation by a sudden quench. This research is motivated in part by recent experimental developments in the physics of ultracold atoms with potential applications in the adiabatic quantum state preparation and quantum computation.

117 pages; review accepted in Advances in Physics

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• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench
• Adiabatic quenches through an extended quantum critical region
• Topological Order Following a Quantum Quench
• Adiabatic nonlinear probes of one-dimensional Bose gases
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• Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
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• Adiabatic preparation without Quantum Phase Transitions
• Tunneling-induced damping of phase coherence revivals in deep optical lattices
• Change in the adiabatic invariant in a nonlinear two-mode model of Feshbach resonance passage
• Exact results for the criticality of quench dynamics in quantum Ising models
• Dynamics of geometric phase in the adiabatic limit of quantum phase transition
• Statistical Properties of Many Particle Eigenfunctions
• Simulating the Quantum Magnet

Cited by in corpus (577)

• Nonequilibrium dynamics of closed interacting quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Atomic quantum gases in periodically driven optical lattices
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Landau-Zener-Stuckelberg interferometry
• Nonequilibrium dynamical mean-field theory and its applications
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Shortcuts to adiabaticity
• Quantum Phase Transition and Universal Dynamics in the Rabi model
• Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
• Chopped random-basis quantum optimization
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Solution for an interaction quench in the Lieb-Liniger Bose gas
• Long-range interacting quantum systems
• Symmetry Breaking and Topological Defect Formation in Ion Coulomb Crystals
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Topological classification of dynamical phase transitions
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Probing a dissipative phase transition via dynamical optical hysteresis
• Coherent quantum annealing in a programmable 2000-qubit Ising chain
• From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Emergence of coherence and the dynamics of quantum phase transitions
• Quantum Quench of an Atomic Mott Insulator
• Quantum Annealing: An Overview
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
• Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
• Collapse and revival of quantum many-body scars via Floquet engineering
• Emergent thermodynamics in a quenched quantum many-body system
• Adiabatic tracking of quantum many-body dynamics
• Towards quantum simulation with circular Rydberg atoms
• Interaction quenches in the 1D Bose gas
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Fluctuation-Dissipation Theorem in an Isolated System of Quantum Dipolar Bosons after a Quench
• Emergence of order from turbulence in an isolated planar superfluid
• Thermalization of a pump-excited Mott insulator
• At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
• Dynamics in the Ising field theory after a quantum quench
• Complexity as a novel probe of quantum quenches: universal scalings and purifications
• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Mixed state dynamical quantum phase transition and emergent topology
• Topological phases, Majorana modes and quench dynamics in a spin ladder system
• Quantum Quenches in the Thermodynamic Limit
• Beyond-classical computation in quantum simulation
• Winding up superfluid in a torus via Bose Einstein condensation
• Observing complex bound states in the spin-1/2 Heisenberg XXZ chain using local quantum quenches
• Defect formation beyond Kibble-Zurek mechanism and holography
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Quantum quenches of holographic plasmas
• Quantum dynamics with stochastic reset
• Thermal quenches in N=2* plasmas
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain
• Observation of ultracold atomic bubbles in orbital microgravity
• Universal nonequilibrium quantum dynamics in imaginary time
• Out-of-time-ordered density correlators in Luttinger liquids
• Quantum Quench across a Holographic Critical Point
• Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
• Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
• Effects of symmetry breaking in finite quantum systems
• Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
• Universal scaling in fast quantum quenches in conformal field theories
• Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
• Isolated quantum heat engine
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Power-laws in the dynamic hysteresis of quantum nonlinear photonic resonators
• Instability-induced formation and non-equilibrium dynamics of phase defects in polariton condensates
• Coherent and dissipative dynamics at quantum phase transitions
• Thermalization and entanglement following a non-relativistic holographic quench
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Generating a second-order topological insulator with multiple corner states by periodic driving
• Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
• Critical dynamics of decoherence
• On equilibration and coarsening in the quantum O(N) model at infinite $N$
• Non-equilibrium dynamics of an unstable quantum pendulum
• Entanglement entropy dynamics of disordered quantum spin chains
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Dynamics of the vacuum state in a periodically driven Rydberg chain
• Nonlinear quantum interferometry with Bose condensed atoms
• Space-time renormalization in phase transition dynamics
• Universality of Abrupt Holographic Quenches
• Quench dynamics of the 2d XY model
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• Dynamical localization in a chain of hard core bosons under a periodic driving
• Superadiabatic dynamics in open quantum systems
• Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
• Speeding up critical system dynamics through optimized evolution
• Dynamical critical scaling of long-range interacting quantum magnets
• Transverse Ising Chain under Periodic Instantaneous Quenches: Dynamical Many-Body Freezing and Emergence of Solitary Oscillation
• Critical Phenomena and Kibble-Zurek Scaling in the Long-Range Quantum Ising Chain
• Damping of Bloch oscillations in the Hubbard model
• Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
• Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
• Time crystals: analysis of experimental conditions
• Quantum Quench Across a Zero Temperature Holographic Superfluid Transition
• Entanglement generation in periodically driven integrable systems: dynamical phase transitions and steady state
• Adiabatic Theorem for Quantum Spin Systems
• On quantum mean-field models and their quantum annealing
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Statistics of the work done by splitting a one-dimensional quasi-condensate
• Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Quantum Quenches in the Luttinger model and its close relatives
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Universality in fast quantum quenches
• Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
• Non-equilibrium dynamics of the Bose-Hubbard model: A projection operator approach
• Generalized Gibbs ensemble and work statistics of a quenched Luttinger liquid
• Dipolar and spinor bosonic systems
• Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• Symmetry breaking bias and the dynamics of a quantum phase transition
• Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
• Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
• Inhomogeneous Kibble-Zurek mechanism: vortex nucleation during Bose-Einstein condensation
• Universal energy fluctuations in thermally isolated driven systems
• Loschmidt echo and dynamical fidelity in periodically driven quantum systems
• New theoretical approaches for correlated systems in nonequilibrium
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Nonlocal probes of thermalization in holographic quenches with spectral methods
• Many-body quantum thermal machines
• Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
• Kibble-Zurek Mechanism and Finite-Time Scaling
• Work statistics across a quantum phase transition
• Smooth and fast versus instantaneous quenches in quantum field theory
• Full counting statistics of time of flight images
• Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
• Interaction-induced time-symmetry breaking in driven quantum oscillators
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Dynamic correlations, fluctuation-dissipation relations, and effective temperatures after a quantum quench of the transverse field Ising chain
• New dynamical scaling universality for quantum networks across adiabatic quantum phase transitions
• Fidelity susceptibility of the quantum Ising model in the transverse field: The exact solution
• Slow quench dynamics of periodically driven quantum gases
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Quantitative verification of the Kibble-Zurek mechanism in quantum non-equilibrium dynamics
• Quantum quenches and many-body localization in the thermodynamic limit
• Dynamic freezing of strongly correlated ultracold bosons
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Non-equilibrium dynamics of Bosonic Mott insulators in an electric field
• Quantum Kibble-Zurek physics in the presence of spatially-correlated dissipation
• Quench dynamics and parity blocking in Majorana wires
• Kilohertz-driven Bose-Einstein condensates in optical lattices
• Quantum quench in PT-symmetric Luttinger liquid
• Universal anti-Kibble-Zurek scaling in fully-connected systems
• Counterdiabatic driving of the quantum Ising model
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Holographic Quantum Quench
• Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
• Kibble-Zurek scaling in the Yang-Lee edge singularity
• Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
• Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
• Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons
• Characterizing the energy gap and demonstrating an adiabatic quench in an interacting spin system
• Entangling many-body bound states with propagative modes in Bose-Hubbard systems
• Oscillating fidelity susceptibility near a quantum multicritical point
• Sonic horizons and causality in the phase transition dynamics
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Exact solution of time-dependent Lindblad equations with closed algebras
• Controlling quantum critical dynamics of isolated systems
• Non-adiabatic dynamics across a first order quantum phase transition: Quantized bubble nucleation
• Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
• Topological Blocking in Quantum Quench Dynamics
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• One-dimensional quantum many body systems with long-range interactions
• Kibble-Zurek mechanism in driven-dissipative systems crossing a non-equilibrium phase transition
• Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
• Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
• Effects of Quantum Coherence on Work Statistics
• Quantum Quench and Scaling of Entanglement Entropy
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Efimov Physics in Quenched Unitary Bose Gases
• Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
• Quantum heat engine with long-range advantages
• Thermodynamics in expanding shell-shaped Bose-Einstein condensates
• Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
• Weak Field Collapse in AdS: Introducing a Charge Density
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• Defect Saturation in a Rapidly Quenched Bose Gas
• Spin and topological order in a periodically driven spin chain
• Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Double universality of a quantum phase transition in spinor condensates: the Kibble-Żurek mechanism and a conservation law
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Theory of Driven Nonequilibrium Critical Phenomena
• Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
• Asymptotic work statistics of periodically driven Ising chains
• Fast dynamics for atoms in optical lattices
• A projection operator approach to the Bose-Hubbard model
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
• Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
• Measuring effective temperatures in a generalized Gibbs ensemble
• Finite time interaction quench in a Luttinger model
• Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point
• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Simulated quantum annealing as a simulator of non-equilibrium quantum dynamics
• Dynamics of decoherence: universal scaling of the decoherence factor
• Universal dynamical scaling of long-range topological superconductors
• Quantum Critical Detector : Amplifying Weak Signals Using First-Order Dynamical Quantum Phase Transitions
• Eigenstate Tracking in Open Quantum Systems
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Causality and defect formation in the dynamics of an engineered quantum phase transition in a coupled binary Bose-Einstein condensate
• Quantum quenches and work distributions in ultra-low-density systems
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
• Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
• Quantum Quench and Double Trace Couplings
• Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
• Phase Transition in the periodically pulsed Dicke Model
• Universal short-time quantum critical dynamics in imaginary time
• Excited-state quantum phase transition and the quantum speed limit
• Scaling properties of work fluctuations after quenches at quantum transitions
• Quantum quench in the Luttinger model with finite temperature initial state
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
• Dissipation induced Luttinger liquid correlations in a one dimensional Fermi gas
• A Floquet perturbation theory for periodically driven weakly-interacting fermions
• Quantum criticality using a superconducting quantum processor
• Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps
• Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach
• Kibble-Zurek mechanism in the Ising Field Theory
• Photon production from the vacuum close to the super-radiant transition: When Casimir meets Kibble-Zurek
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models
• Optimal suppression of defect generation during a passage across a quantum critical point
• Stationary state after a quench to the Lieb-Liniger from rotating BECs
• Quantum quenches in the thermodynamic limit. II. Initial ground states
• An exactly solvable quench protocol for integrable spin models
• Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Local shortcut to adiabaticity for quantum many-body systems
• Scaling behavior of quantum critical relaxation dynamics in a heat bath
• Difference in Bose-Einstein condensation of conserved and unconserved particles
• Kibble-Zurek Scaling in Holographic Quantum Quench : Backreaction
• Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Universal dynamic scaling in three-dimensional Ising spin glasses
• Topological defect formation in a phase transition with tunable order
• Suppressing defect production during passage through a quantum critical point
• Quench from Mott Insulator to Superfluid
• Hydrodynamic description of Hard-core Bosons on a Galileo ramp
• Dynamical crossover behavior in the relaxation of quenched quantum many-body systems
• Statistics of work distribution in periodically driven closed quantum systems
• Shortcuts to adiabaticity in the infinite-range Ising model by mean-field counter-diabatic driving
• Periodically driven Rydberg chains with staggered detuning
• Activating critical exponent spectra with a slow drive
• Engineering First-Order Quantum Phase Transitions for Weak Signal Detection
• Quenching in Chern insulators with satellite Dirac points: The fate of edge states
• Slow quench dynamics of the Kitaev model: anisotropic critical point and effect of disorder
• Scaling of the entanglement spectrum in driving critical dynamics
• Conformal Floquet dynamics with a continuous drive protocol
• Dynamical Quantum Phase Transitions in Extended Toric-Code Models
• Out-of-Time-Order correlators in driven conformal field theories
• Holographic Quenches in a Confined Phase
• Quasi-soliton scattering in quantum spin chains
• One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
• Time evolution of an infinite projected entangled pair state: a gradient tensor update in the tangent space
• Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
• Universal Early Coarsening of Quenched Bose Gases
• Quantum simulation of Kibble-Zurek mechanism with a semiconductor electron charge qubit
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Superparabolic Level Glancing Models for Two-State Quantum Systems
• Dynamical quantum phase transitions in Weyl semimetals
• Quench dynamics and scaling laws in topological nodal loop semimetals
• Vaporization dynamics of a dissipative quantum liquid
• Quench-induced entanglement and relaxation dynamics in Luttinger liquids
• Decoherence and equilibration under nondestructive measurements
• Out-of-equilibrium dynamics and thermalization of string order
• The fate of a gray soliton in a quenched Bose-Einstein condensate
• Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
• Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
• Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
• Ramp and periodic dynamics across non-Ising critical points
• Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Quasiprobability distribution of work in the quantum Ising model
• Floquet resonances close to the adiabatic limit and the effect of dissipation
• Coherent quench dynamics in the one-dimensional Fermi-Hubbard model
• Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
• Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble-Zurek mechanism
• One-half of the Kibble-Zurek quench followed by free evolution
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Non-equilibrium dynamics in Bose-Hubbard ladders
• Tuning towards dynamic freezing using a two-rate protocol
• Dynamics of the modified Kibble-Żurek mechanism in antiferromagnetic spin-1 condensates
• Locating quantum critical points with Kibble-Zurek quenches
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Landau-Zener transitions and Adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• The Kibble-Zurek Mechanism in a Topological Phase Transition
• Dynamical Mean-Field Theory
• Kibble-Zurek mechanism beyond adiabaticity: Finite-time scaling with critical initial slip
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• A view on the open STIRAP problem
• Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• The boundary effects of transverse field Ising model
• Truncated many-body dynamics of interacting bosons: A variational principle with error monitoring
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
• Renormalization-group theory for cooling first-order phase transitions in Potts models
• Quenching Dynamics and Quantum Information
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Dynamical Transition for a class of integrable models coupled to a bath
• Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
• Universal short time quantum critical dynamics of finite size systems
• Classical critical dynamics in quadratically driven Kerr resonators
• Momentum-space entanglement and Loschmidt echo in Luttinger liquids after a quantum quench
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Large Deviations Beyond the Kibble-Zurek Mechanism
• Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations
• Excitation energy after a smooth quench in a Luttinger liquid
• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
• Universality of miscible-immiscible phase separation dynamics in two-component Bose-Einstein condensates
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Dynamical crossover in the transient quench dynamics of short-range transverse field Ising models
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Generalized dynamic scaling for quantum critical relaxation in imaginary time
• Quantum quenches, linear response and superfluidity out of equilibrium
• Bloch oscillations and quench dynamics of interacting bosons in an optical lattice
• Many-site coherence revivals in the extended Bose-Hubbard model and the Gutzwiller approximation
• Quantum Discord in a spin-1/2 transverse XY Chain Following a Quench
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition
• Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Unveiling operator growth in SYK quench dynamics
• Entanglement measures and non-equilibrium dynamics of quantum many-body systems: a path integral approach
• Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions
• Quantum annealing of pure and random Ising chains coupled to a bosonic environment
• Reservoir-engineering shortcuts to adiabaticity
• Exact results in Floquet coin toss for driven integrable models
• Phase-space mixing in dynamically unstable, integrable few-mode quantum systems
• Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity
• Long-range transverse Ising model built with dipolar condensates in two-well arrays
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• Robust quantum correlations in out-of-equilibrium matter-light systems
• Quantum critical dynamics in a spinor Hubbard model quantum simulator
• Zhu-Nakamura theory and the superparabolic level-glancing models
• Quantum computing approach to railway dispatching and conflict management optimization on single-track railway lines
• Interaction ramps in a trapped Bose condensate
• Phases, collective modes, and non-equilibrium dynamics of dissipative Rydberg atoms
• Probing anomalous driving
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Soliton splitting in quenched classical integrable systems
• Out-of-equilibrium dynamics of multiple second-order quantum phase transitions in extended Bose-Hubbard model: Superfluid, supersolid and density wave
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation
• Relaxation dynamics of an isolated large-spin Fermi gas far from equilibrium
• Evolution of Coherence During Ramps Across the Mott-Superfluid Phase Boundary
• Quench-induced dynamical phase transitions and $\pi$-synchronization in the Bose-Hubbard Model
• Scaling theory of entanglement entropy in confinements near quantum critical points
• Interferometry based on quantum Kibble-Zurek mechanism
• Exact one- and two-site reduced dynamics in a finite-size quantum Ising ring after a quench: A semi-analytical approach
• Driving Driven Lattice Gases to Identify Their Universality Classes
• Symmetry-Protected Quantum Adiabatic Evolution in Spontaneous Symmetry-Breaking Transitions
• Thermal fluctuations and quantum phase transition in antiferromagnetic Bose-Einstein condensates
• Accuracy of the adiabatic-impulse approximation for closed and open quantum systems
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Quantum Hysteresis in Coupled Light-Matter Systems
• Variations of the Kibble-Zurek scaling exponents of trapped Bose gases
• Scaling in driven dynamics starting in the vicinity of a quantum critical point
• Dynamical crossing of an infinitely degenerate critical point
• Kibble-Zurek dynamics in an array of coupled binary Bose condensates
• Matter-wave propagation in optical lattices: geometrical and flat-band effects
• Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
• Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Fine structures in the spectrum of the open-boundary Heisenberg chain at large anisotropies
• Bath engineering enhanced quantum critical engines
• Universality of fast quenches from the conformal perturbation theory
• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Universal scaling in quenches across a discontinuity critical point
• Floquet-Band Engineering of Shaken Bosonic Condensates
• Escort distribution function of work done and diagonal entropies in quenched Luttinger liquids
• Holographic quenches towards a Lifshitz point
• Suppression of Spontaneous Defect Formation in Inhomogeneous Bose Gases
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
• Probing infinite many-body quantum systems with finite-size quantum simulators
• Photoinduced topological spin texture in a metallic ferromagnet
• Absence of orthogonality catastrophe after a spatially inhomogeneous interaction quench in Luttinger liquids
• Cavity-assisted Dynamical Quantum Phase Transition at Bifurcation Points
• Probing dynamical criticality near quantum phase transitions
• Limits to magnetic quantum criticality from nuclear spins
• Exploring Dynamical Phase Transitions in the XY Chain through Linear Quench: Early and Long-term Perspectives
• Work statistics across a quantum critical surface
• Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
• Quasi-one-dimensional approximation for Bose-Einstein condensates transversely trapped by a funnel potential
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• The role of quantum work statistics in many-body physics
• Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy
• One-dimensional Bose gas driven by a slow time-dependent harmonic trap
• Quantum adiabatic cycles and their breakdown
• Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
• Nonequilibrium self-energy functional approach to the dynamical Mott transition
• Slow quench dynamics in classical systems: kinetic Ising model and zero-range process
• Poor man's approach to thermalization in Luttinger liquid
• Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
• Measuring Majorana fermions qubit state and non-Abelian braiding statistics in quenched inhomogeneous spin ladders
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Universal imaginary-time critical dynamics on a quantum computer
• Theoretical survey of unconventional quantum annealing methods applied to adifficult trial problem
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Exploring the Kibble-Zurek mechanism in a secondary bifurcation
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Pulsed Generation of Quantum Coherences and Non-classicality in Light-Matter Systems
• Fermion-induced Dynamical Critical Point
• Quantum crystal growing: Adiabatic preparation of a bosonic antiferromagnet in the presence of a parabolic inhomogeneity
• Locally Suppressed Transverse-Field Protocol for Diabatic Quantum Annealing
• Spatial Kibble-Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case
• Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
• Large dynamic light-matter entanglement from driving neither too fast nor too slow
• Dual dynamic scaling in deconfined quantum criticality
• One-Dimensional Quantum Systems with Ground-State of Jastrow Form Are Integrable
• Fractional resonances and prethermal states in Floquet systems
• Single-photon pulse induced giant response in N$>$100 qubit system
• Universal spatiotemporal dynamics of spontaneous superfluidity breakdown in the presence of synthetic gauge fields
• A ring of BEC pools as a trap for persistent flow
• Critical dynamics of classical systems under slow quench
• Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Self--averaging of random quantum dynamics
• Thermal critical dynamics from equilibrium quantum fluctuations
• Defect production and quench dynamics in the three-dimensional Kitaev model
• Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
• Complexity and scaling in quantum quench in $1+1$ dimensional fermionic field theories
• Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
• Quenching across quantum critical points in periodic systems: dependence of scaling laws on periodicity
• Two rate periodic protocol with dynamics driven through many cycles
• Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
• Universal dynamics of zero-momentum to plane-wave transition in spin-orbit coupled Bose-Einstein condensates
• Imaginary-time Mpemba effect in quantum many-body systems
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Universal defects statistics with strong long-range interactions
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Real-time broadening of bath-induced density profiles from closed-system correlation functions
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• Quantum quench in 2D using the variational Baeriswyl wavefunction
• Propagation and jamming dynamics in Heisenberg spin ladders
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model
• Sudden quenches in quasiperiodic Ising model
• Pattern formation in charge density wave states after a quantum quench
• Identifying strongly correlated supersolid states on the optical lattice by quench-induced π-states
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Nonadiabatic stationary behaviour in a driven low-dimensional gapped system
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Short-imaginary-time quantum critical dynamics in the J-Q${}_3$ spin chain
• Critical slowing down and entanglement protection
• Dynamics of a Nonequilibrium Discontinuous Quantum Phase Transition in a Spinor Bose-Einstein Condensate
• Statistics of topological defects across a phase transition in a digital superconducting quantum processor
• Universal scaling of work statistics for quantum quenches
• Decoherence and energy flow in the sunburst quantum Ising model
• Exotic signature of dynamical quantum phase transition in the time evolution of engineered initial state
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Universal work statistics in long-range interacting quantum systems
• Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system
• Defect production due to time-dependent coupling to environment in the Lindblad equation
• Nontrivial damping of quantum many-body dynamics
• The Boltzmann distribution and the quantum-classical correspondence
• Search for optimal driving in finite quantum systems with precursors of criticality
• Information scrambling and entanglement in quantum approximate optimization algorithm circuits
• Dynamics of a quantum quench in an ultra-cold atomic BCS superfluid
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Loschmidt echo zeros in finite-size quantum systems with linear quench
• Kibble-Zurek mechanism in quantum link model
• Self-organization of topological defects for a triangular-lattice magnetic dots array subject to a perpendicular magnetic field
• Adiabatic echo protocols for robust quantum many-body state preparation
• Time-dependent Mott transition in the periodic Anderson model with nonlocal hybridization
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Stable many-body resonances in open quantum systems
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Universal Critical Holography and Domain Wall Formation
• Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
• Theory of Critical Phenomena with Long-Range Temporal Interaction
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Driven Critical Dynamics in Tricitical Point
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Universal Quench Dynamics of an Open Quantum System
• Quantum annealing in the NISQ era: railway conflict management
• Quasiadiabatic dynamics of ultracold bosonic atoms in a one-dimensional optical superlattice
• Periodic dynamics of fermionic superfluids in the BCS regime
• Quadratic band touching with long range interactions in and out of equilibrium
• Defect production in quench from current-carrying non-equilibrium state
• Kibble-Zurek mechanism and errors of gapped quantum phases
• Bang-bang preparation of quantum many-body ground states in two dimensions: optimization of the algorithm with a two-dimensional tensor network
• Robust two-dimensional subrecoil Raman cooling by adiabatic transfer in a tripod atomic system
• Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
• Universality in nonlinear passage through the miscible-immiscible phase transition in two component Bose-Einstein condensates
• Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Universal Anomaly of Dynamics at Phase Transition Points Induced by Pancharatnam-Berry Phase
• Long-range Kitaev chain in a thermal bath: Analytic techniques for time-dependent systems and environments
• Order parameter dynamics of the non-linear sigma model in the large $N$ limit
• Probing universal critical scaling with scan-DMRG
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• Nonequilibrium Dynamics of Ultracold Fermi Superfluids
• Half Landau-Zener ramp to a quantum phase transition in a dissipative single spin sodel
• Topological Defects from Quantum Reset Dynamics
• Pseudochaotic Many-Body Dynamics as a Pseudorandom State Generator
• Non-equilibrium dynamics of superconductivity in the Hatsugai-Kohmoto model
• Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
• Machine-learning-inspired quantum control in many-body dynamics
• Sudden-quench dynamics of Bardeen-Cooper-Schrieffer states in deep optical lattices
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Time-resolved single-particle spectrum of the one-dimensional extended Hubbard model after interaction quenches
• Echoes and defects in the Calogero model
• Dynamics of the order parameter in symmetry breaking phase transitions
• Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model
• Non-equilibrium dynamics of an ultracold Bose gas under a multi-pulsed quantum quench in interaction
• Analytical shortcuts to adiabaticity of weakly driven processes
• Probing early phase coarsening in a rapidly quenched Bose gas using off-resonant matter-wave interferometry
• Deconstructing symmetry breaking dynamics
• Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Relaxation dynamics in the alternating XY chain following a quantum quench
• Dynamics for the Haldane phase in the Bilinear-Biquadratic Model
• Infinite temperature spin dynamics in the asymmetric Hatsugai-Kohmoto model
• Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation
• Defects in Quantum Computers
• Quench in 1D Bose-Hubbard Model: Topological Defects and Excitations from Kosterlitz-Thouless Phase Transition Dynamics
• Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder
• Multiple-time-scale Landau-Zener transitions in many-body systems
• Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Divergence of thermalization rates driven by the competition between finite temperature and quantum coherence
• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Stabilizing boundary time crystals through Non-markovian dynamics
• Quantum dynamics of a spin model with an extensive degeneracy
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results
• Entropy production for quasi-adiabatic parameter changes dominated by hydrodynamics
• Rate Function Modelling of Quantum Many-Body Adiabaticity
• Realizing Topological Quantum Walks on NISQ Digital Quantum Computer
• Entanglement Spreading and Oscillation
• Old and New Scaling Laws in Quantum Quench
• Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description
• Microscopic Observation of the Light-Cone-Like Thermal Correlations in Cracking Excitations
• On quasinormal frequencies of black hole perturbations with an external source
• Multipartite Entanglement in Crossing the Quantum Critical Point
• Few strongly interacting fermions of different mass driven in the vicinity of a critical point
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain