Coherent and dissipative dynamics at quantum phase transitions

Abstract

The many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we first give a pedagogical introduction to the equilibrium behavior of systems in that context, whose scaling framework is essentially developed by exploiting the quantum-to-classical mapping and the renormalization-group theory of critical phenomena at continuous phase transitions. Then we specialize to protocols entailing the out-of-equilibrium quantum dynamics, such as instantaneous quenches and slow passages across quantum transitions. These are mostly discussed within dynamic scaling frameworks, obtained by appropriately extending the equilibrium scaling laws. We review phenomena at first-order quantum transitions as well, whose peculiar scaling behaviors are characterized by an extreme sensitivity to the boundary conditions, giving rise to exponentials or power laws for the same bulk system. In the last part, we cover aspects related to the effects of dissipative interactions with an environment, through suitable generalizations of the dynamic scaling at quantum transitions. The presentation is limited to issues related to, and controlled by, the quantum transition developed by closed many-body systems, treating the dissipation as a perturbation of the critical regimes, as for the temperature at the zero-temperature quantum transition. We focus on the physical conditions giving rise to a nontrivial interplay between critical modes and various dissipative mechanisms, generally realized when the involved mechanism excites only the low-energy modes of the quantum transitions.

Review paper, 138 pages. Final version, corrected misprints

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• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates
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• Fate of CP(N-1) fixed points with q-monopoles
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• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• Spatial correlations of trapped 1d bosons in an optical lattice
• Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
• Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
• First Order Quantum Phase Transition in Adiabatic Quantum Computation
• Monte Carlo study of an improved clock model in three dimensions
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• Recent developments in Quantum Monte-Carlo simulations with applications for cold gases
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• How universal is the entanglement spectrum?
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• Quantum Simulation and Phase Diagram of the Transverse Field Ising Model with Three Atomic Spins
• Detection of quantum critical points by a probe qubit
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• Quantum information-geometry of dissipative quantum phase transitions
• Finite-size scaling at quantum transitions
• Disorder in quantum many-body systems
• Theory of the nodal nematic quantum phase transition in superconductors
• Zurek-Kibble Mechanism for the Spontaneous Vortex Formation in $Nb-Al/A{l}_{ox}/Nb$ Josephson Tunnel Junctions: New Theory and Experiment
• Entanglement and correlation in anisotropic quantum spin systems
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• 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
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• Scaling of genuine multiparticle entanglement at a quantum phase transition
• On equilibration and coarsening in the quantum O(N) model at infinite $N$
• Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems
• Universal conductance of nanowires near the superconductor-metal quantum transition
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Fidelity approach to quantum phase transitions: finite size scaling for quantum Ising model in a transverse field
• Space-time renormalization in phase transition dynamics
• Heat capacity anomaly at the quantum critical point of the Transverse Ising Magnet CoNb_2O_6
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
• Entanglement Oscillations near a Quantum Critical Point
• Entanglement Entropy for Singular Surfaces
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Ultracold quantum wires with localized losses: many-body quantum Zeno effect
• Antiferromagnetic criticality at a heavy-fermion quantum phase transition
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Disentanglement of two qubits coupled to an XY spin chain: Role of quantum phase transition
• Entanglement entropies in free fermion gases for arbitrary dimension
• Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice
• Dynamical crossovers in prethermal critical states
• State diagrams for harmonically trapped bosons in optical lattices
• The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions
• Critical behavior and scaling in trapped systems
• Finite Size Effects and Irrelevant Corrections to Scaling near the Integer Quantum Hall Transition
• Work and Quantum Phase Transitions: Is there Quantum Latency?
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• Long-range quantum discord in critical spin systems
• Finite-size scaling at first-order quantum transitions
• Quantum relaxation and finite size effects in the XY chain in a transverse field after global quenches
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
• Universality and robustness of revivals in the transverse field XY model
• Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
• Criterion for bosonic superfluidity in an optical lattice
• High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class
• Statistics of the work done by splitting a one-dimensional quasi-condensate
• Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
• Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
• Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
• Work distribution and edge singularities for generic time-dependent protocols in extended systems
• Impurity spin texture at a deconfined quantum critical point
• Thermalization and Return to Equilibrium on Finite Quantum Lattice Systems
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Scaling of the quantum-Hall plateau-plateau transition in graphene
• Trap-size scaling in confined particle systems at quantum transitions
• Gauge theory picture of an ordering transition in a dimer model
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Emergence and spontaneous breaking of approximate O(4) symmetry at a weakly first-order deconfined phase transition
• Phase diagram of the dissipative quantum Ising model on a square lattice
• Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Symmetry breaking bias and the dynamics of a quantum phase transition
• Ground state factorization and correlations with broken symmetry
• Universal energy fluctuations in thermally isolated driven systems
• Signature of Quantum Criticality in the Density Profiles of Cold Atom Systems
• Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
• Digital Quantum Simulation of the Statistical Mechanics of a Frustrated Magnet
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Non-Fermi liquid behavior from two-dimensional antiferromagnetic fluctuations: a renormalization-group and large-N analysis
• Monte Carlo study of a generalized icosahedral model on the simple cubic lattice
• Thermodynamic Casimir effect: Universality and Corrections to Scaling
• Finite temperature fidelity susceptibility for one-dimensional quantum systems
• Work statistics across a quantum phase transition
• Orthogonality catastrophe in dissipative quantum many body systems
• Scaling dimension of fidelity susceptibility in quantum phase transitions
• Survival of classical and quantum particles in the presence of traps
• Thermodynamic singularities in the entanglement entropy at a 2D quantum critical point
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Quantum transitions driven by one-bond defects in quantum Ising rings
• On entanglement hamiltonians of an interval in massless harmonic chains
• Dynamics of the entanglement spectrum in spin chains
• Linked cluster expansions for open quantum systems on a lattice
• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
• Quantum Ising chains with boundary fields
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Fidelity susceptibility of the quantum Ising model in the transverse field: The exact solution
• Quantized pumping and phase diagram topology of interacting bosons
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Phase diagram of an extended classical dimer model
• Robustness of adiabatic passage trough a quantum phase transition
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Probing ground-state phase transitions through quench dynamics
• Entanglement and particle correlations of Fermi gases in harmonic traps
• Quantum Kibble-Zurek physics in the presence of spatially-correlated dissipation
• Universal anti-Kibble-Zurek scaling in fully-connected systems
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Coherence properties of a 2D trapped Bose gas around the superfluid transition
• Corrections to scaling in the critical theory of deconfined criticality
• Fixed point stability and decay of correlations
• Finite temperature study of bosons in a two dimensional optical lattice
• Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
• The equation of state of ultracold Bose and Fermi gases: a few examples
• Entanglement entropy of the large $N$ Wilson-Fisher conformal field theory
• Lattice Abelian-Higgs model with noncompact gauge fields
• Loschmidt echo with a non-equilibrium initial state: early time scaling and enhanced decoherence
• Criticality in Trapped Atomic Systems
• Entanglement at a Two-Dimensional Quantum Critical Point: a T=0 Projector Quantum Monte Carlo Study
• Quantum spin chains with site dissipation
• Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
• Consistent scaling exponents at the deconfined quantum-critical point
• Sonic horizons and causality in the phase transition dynamics
• Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench
• The scaling of the decoherence factor of a qubit coupled to a spin chain driven across quantum critical points
• Dynamic finite-size scaling after a quench at quantum transitions
• Finite-size corrections of the Entanglement Entropy of critical quantum chains
• Techniques to measure quantum criticality in cold atoms
• Direct mapping of the finite temperature phase diagram of strongly correlated quantum models
• Sharp phase transitions in a small frustrated network of trapped ion spins
• Decoherence induced by a dynamic spin environment (I): The universal regime
• Unconventional Quantum Critical Points
• CP^1+U(1) Lattice Gauge Theory in Three Dimensions: Phase Structure, Spins, Gauge Bosons, and Instantons
• Entanglement and diagonal entropies after a quench with no pair structure
• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
• Quantum phase transitions in bilayer SU(N) anti-ferromagnets
• Statistics of the work distribution for a quenched Fermi gas
• Anomalous non-ergodic scaling in adiabatic multicritical quantum quenches
• Detecting Goldstone Modes with Entanglement Entropy
• Ground-state fidelity at first-order quantum transitions
• Quantum dynamics and entanglement of a 1D Fermi gas released from a trap
• Enhancing correlation times for edge spins through dissipation
• Local density approximation for confined bosons in an optical lattice
• Multicomponent compact Abelian-Higgs lattice models
• Microscopic theory of a non-equilibrium open bosonic chain
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Universal corner entanglement of Dirac fermions and gapless bosons from the continuum to the lattice
• Operator content of entanglement spectra after global quenches in the transverse field Ising chain
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Numerical Renormalization Group for the sub-ohmic spin-boson model: A conspiracy of errors
• Gaussian trajectory approach to dissipative phase transitions: the case of quadratically driven photonic lattices
• Edge exponents in work statistics out of equilibrium and dynamical phase transitions from scattering theory in one dimensional gapped systems
• The A-Cycle Problem for Transverse Ising Ring
• Magnetic quantum correlation in the 1D transverse-field XXZ model
• Dynamic off-equilibrium transition in systems slowly driven across thermal first-order phase transitions
• Universal Dynamics of Stochastically Driven Quantum Impurities
• Non-equilibrium metastable state in a chain of interacting spinless fermions with localized loss
• Emergent gauge fields and the high temperature superconductors
• Quantum annealing via environment-mediated quantum diffusion
• Quench echo and work statistics in integrable quantum field theories
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• The Frustration of being Odd: How Boundary Conditions can destroy Local Order
• Quantum Criticality from in-situ Density Imaging
• Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems
• Dynamics of decoherence: universal scaling of the decoherence factor
• Prethermalization at Low Temperature: the Scent of Long-Range Order
• Measurement-Induced Phase Transition in a Quantum Spin System
• System size scaling of topological defect creation in a second-order dynamical quantum phase transition
• Nonequilibrium critical scaling from quantum thermodynamics
• Quantum Phase Transition in a Heisenberg Antiferromagnet on a Square Lattice with Strong Plaquette Interactions
• Critical properties of a trapped interacting Bose gas
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
• Competing coherent and dissipative dynamics close to quantum criticality
• Work fluctuations in quantum spin chains
• Phase structure and phase transitions in a three dimensional SU(2) superconductor
• Deconfinement of Spinons on Critical Points: Multi-Flavor CP${}^1$ + U(1) Lattice Gauge Theory in Three Dimensions
• Quantum quenches and work distributions in ultra-low-density systems
• Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
• Fidelity susceptibility of the anisotropic $XY$ model: The exact solution
• The normal-to-planar superfluid transition in Helium 3
• Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
• Exploring quantum criticality based on ultracold atoms in optical lattices
• Gradient critical phenomena in the Ising quantum chain
• Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
• Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• Scaling properties of work fluctuations after quenches at quantum transitions
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
• Nodal quasiparticles and the onset of spin density wave order in the cuprates
• Off-equilibrium scaling behaviors driven by time-dependent external fields in three-dimensional O(N) vector models
• On the optimal working point in dissipative quantum annealing
• Quantum quenches and competing orders
• Locating topological phase transitions using nonequilibrium signatures in local bulk observables
• Scaling behavior of quantum critical relaxation dynamics in a heat bath
• Landau ordering phase transitions beyond the Landau paradigm
• Correlation Length and Unusual Corrections to the Entanglement Entropy
• On time-local generators of quantum evolution
• Scaling of the local quantum uncertainty at quantum phase transitions
• Dynamical quantum correlations after sudden quenches
• Dynamic critical behavior of model A in films: Zero-mode boundary conditions and expansion near four dimensions
• Imaging of critical correlations in optical lattices and atomic traps
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Topological pumping in the one-dimensional Bose-Hubbard model
• Quantum critical systems with dissipative boundaries
• One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
• Universal Finite-Size Scaling around Topological Quantum Phase Transitions
• Scaling of the entanglement spectrum in driving critical dynamics
• Effects of defects in the XY chain with frustrated boundary conditions
• Critical Behaviour in Trapped Strongly Interacting Fermi Gases
• Intrinsic Jump Character of the First-Order Quantum Phase Transitions
• Scaling behavior of the stationary states arising from dissipation at continuous quantum transitions
• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
• Entanglement modes and topological phase transitions in superconductors
• Universal fidelity near quantum and topological phase transitions in finite 1D systems
• Quantum Ising chain with boundary dephasing
• Dynamics after quenches in one-dimensional quantum Ising-like systems
• Dissipative dynamics at first-order quantum transitions
• Spin-density-wave order in cuprates
• Bose-Einstein condensation and critical behavior of two-component bosonic gases
• One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
• Density profile of interacting Fermions in a one-dimensional optical trap
• Off-equilibrium scaling behaviors across first-order transitions
• Spontaneous symmetry breaking induced by quantum monitoring
• Critical parameters from trap-size scaling in trapped particle systems
• Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets
• Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions
• Three-dimensional monopole-free CP(N-1) models
• Quenching Dynamics and Quantum Information
• Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
• Anomalous behavior of the energy gap in the one-dimensional quantum XY model
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• Anomalous finite-size scaling at thermal first-order transitions in systems with disordered boundary conditions
• Dynamic finite-size scaling at first-order transitions
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Entanglement scaling at first order phase transitions
• Equilibrium and nonequilibrium entanglement properties of 2D and 3D Fermi gases
• Detecting phase transitions and crossovers in Hubbard models using the fidelity susceptibility
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Scaling behavior of Ising systems at first-order transitions
• Cluster Monte Carlo Algorithms for Dissipative Quantum Systems
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• Universal shift of the fidelity susceptibility peak away from the critical point of the Berezinskii-Kosterlitz-Thouless quantum phase transition
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Monte Carlo Study of an Inhomogeneous Blume-Capel Model
• Finite-size scaling behavior in trapped systems
• Universal low-temperature behavior of two-dimensional lattice scalar chromodynamics
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Exponential Orthogonality Catastrophe at the Anderson Metal-Insulator Transition
• Quasi-long-range order in trapped systems
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Comment on "Direct Mapping of the Finite Temperature Phase Diagram of Strongly Correlated Quantum Models" by Q. Zhou, Y. Kato, N. Kawashima, and N. Trivedi, Phys. Rev. Lett. 103, 085701 (2009)
• Thermodynamic properties of ferroics described by the transverse Ising model and their applications for CoNb${}_2$O${}_6$
• Scaling behaviour of trapped bosonic particles in two dimensions at finite temperature
• Universal scaling of three-dimensional bosonic gases in a trapping potential
• Universal anisotropic finite-size critical behavior of the two-dimensional Ising model on a strip and of d-dimensional models on films
• Evidence of quantum phase transition in real-space vacuum entanglement of higher derivative scalar quantum field theories
• Universal scaling effects of a temperature gradient at first-order transitions
• Closure of the entanglement gap at quantum criticality: The case of the Quantum Spherical Model
• Criticalities of the transverse- and longitudinal-field fidelity susceptibilities for the d=2 quantum Ising model
• Boson Core Compressibility
• Finite-Size Scaling for Quantum Criticality above the Upper Critical Dimension: Superfluid-Mott-Insulator Transition in Three Dimensions
• Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases
• Trap effects and continuum limit of the Hubbard model in the presence of a harmonic potential
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate

Cited by in corpus (70)

• Beyond-classical computation in quantum simulation
• Topological transitions with continuously monitored free fermions
• A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
• Controlling entanglement at absorbing state phase transitions in random circuits
• Universality in driven open quantum matter
• Disordered monitored free fermions
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Purification Timescales in Monitored Fermions
• Measurement Induced Continuous Time Crystals
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Dissipative quasi-particle picture for quadratic Markovian open quantum systems
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
• Unbounded entanglement production via a dissipative impurity
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• Hydrodynamics of quantum entropies in Ising chains with linear dissipation
• Continuous Dissipative Phase Transitions without Symmetry Breaking
• Rise and fall, and slow rise again, of operator entanglement under dephasing
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
• Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
• Liouvillian spectral collapse in the Scully-Lamb laser model
• Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Entanglement dynamics with string measurement operators
• Entanglement negativity in a fermionic chain with dissipative defects: Exact results
• Multicritical dissipative phase transitions in the anisotropic open quantum Rabi model
• Comparing bipartite entropy growth in open-system matrix-product simulation methods
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• Adaptive variational low-rank dynamics for open quantum systems
• Observation of Near-Critical Kibble-Zurek Scaling in Rydberg Atom Arrays
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Late-time critical behavior of local string-like observables under quantum quenches
• Logarithmic entanglement scaling in dissipative free-fermion systems
• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Many-body quantum heat engines based on free-fermion systems
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
• Non-Markovian to Markovian decay in structured environments with correlated disorder
• Noise-Robust Detection of Quantum Phase Transitions
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• First-order transitions in spin chains coupled to quantum baths
• Critical crossover phenomena driven by symmetry-breaking defects at quantum transitions
• Free fermions with dephasing and boundary driving: Bethe Ansatz results
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Decoherence and energy flow in the sunburst quantum Ising model
• Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz
• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Kinetically constrained models constructed from dissipative quantum dynamics
• Measuring work in quantum many-body systems using a dynamical "work agent"
• Entanglement in the Quantum Spherical Model -- a Review
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Multipartite quantum correlations in a two-mode Dicke model
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• First-Order Excited-State Quantum Phase Transition in the Transverse Ising Model with a Longitudinal Field
• Spontaneous superradiant photon current
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• The quantum XY chain with boundary fields: finite-size gap and phase behavior
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model
• Topological signatures in a weakly dissipative Kitaev chain of finite length
• Emergence of Rich Dissipative Phases in the Anisotropic Quantum Rabi Model Driven by the $A^2$ Term
• Quantum states from mixtures of equilibrium distributions
• Experimental observation of multimode quantum phase transitions in a superconducting Bose-Hubbard simulator
• Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models