Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

Abstract

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal behaviour on the two sides of a certain dynamical critical point. Dynamical phase transitions are currently mostly understood as long-lived prethermal phenomena in a regime where inelastic collisions are incapable to thermalize the system. The latter enables the dynamics to substain phases that explicitly break detailed balance and therefore cannot be encompassed by traditional thermodynamics. Our presentation covers both cold atoms as well as condensed matter systems. We revisit a broad plethora of platforms exhibiting pre-thermal DPTs, which become theoretically tractable in a certain limit, such as for a large number of particles, large number of order parameter components, or large spatial dimension. The systems we explore include, among others, quantum magnets with collective interactions, ${\varphi }^4$ quantum field theories, and Fermi-Hubbard models. A section dedicated to experimental explorations of DPTs in condensed matter and AMO systems connects this large variety of theoretical models.

arXiv comment37 pages; 10 figures; review article

References in corpus (244)

• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Feshbach Resonances in Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• New directions in the pursuit of Majorana fermions in solid state systems
• Nonequilibrium dynamics of closed interacting quantum systems
• Theory of Phase Ordering Kinetics
• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Many-body localization, thermalization, and entanglement
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Continuous Quantum Phase Transitions
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Quantum many-body scars
• Floquet Engineering of Quantum Materials
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Statistical mechanics and dynamics of solvable models with long-range interactions
• Cold atoms in cavity-generated dynamical optical potentials
• Topological Bands for Ultracold Atoms
• Cosmological Experiments in Condensed Matter Systems
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Unifying time evolution and optimization with matrix product states
• Nonequilibrium dynamical mean-field theory and its applications
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• Quantum phase transitions
• Many-body localization: an introduction and selected topics
• Phase space representation of quantum dynamics
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Keldysh Field Theory for Driven Open Quantum Systems
• Probing many-body states of ultra-cold atoms via noise correlations
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Prethermalization
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Introduction to Nonequilibrium Quantum Field Theory
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Higgs Amplitude Mode in BCS Superconductors Nb${}_{1-x}$Ti${}_x$N induced by Terahertz Pulse Excitation
• Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Dephasing and the steady state in quantum many-particle systems
• Optically enhanced coherent transport in YBa2Cu3O6.5 by ultrafast redistribution of interlayer coupling
• Resonantly-paired fermionic superfluids
• Observation of a dynamical topological phase transition
• Emergent SU(2) dynamics and perfect quantum many-body scars
• Dynamical phase transition in the open Dicke model
• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
• Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
• Non-stationary coherent quantum many-body dynamics through dissipation
• Nonequilibrium dynamical mean-field theory
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Ageing Properties of Critical Systems
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Theory of Branching and Annihilating Random Walks
• Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Prethermalization and thermalization in models with weak integrability breaking
• Observation of universal dynamics in a spinor Bose gas far from equilibrium
• Disorder-Free Localization
• Prethermalization and universal dynamics in near-integrable quantum systems
• An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns
• P-wave Feshbach resonances of ultra-cold ${}^6$Li
• Topology and Broken Symmetry in Floquet Systems
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Higgs Mode in Superconductors
• Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
• Exploring dynamical phase transitions with cold atoms in an optical cavity
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Localization and Glassy Dynamics Of Many-Body Quantum Systems
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Transient superconductivity from electronic squeezing of optically pumped phonons
• Dynamical preparation of Floquet Chern insulators
• Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• Realization of the Dicke model using cavity-assisted Raman transitions
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Spin self-rephasing and very long coherence times in a trapped atomic ensemble
• Theory of Anderson pseudospin resonance with Higgs mode in superconductors
• Dynamical vanishing of the order parameter in a fermionic condensate
• Dynamical Cooper pairing in non-equilibrium electron-phonon systems
• Non-linear optical effects and third-harmonic generation in superconductors: Cooper-pairs vs Higgs mode contribution
• Pre-thermalization in a non-integrable quantum spin chain after a quench
• Universal Prethermal Dynamics of Bose Gases Quenched to Unitarity
• Quench Dynamics in a Model with Tuneable Integrability Breaking
• Uncover Topology by Quantum Quench Dynamics
• Quantum Quenches in Chern Insulators
• Spinor self-ordering of a quantum gas in a cavity
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Quasi Many-body Localization in Translation Invariant Systems
• Dynamics of many-body localisation in a translation invariant quantum glass model
• Quantum quench in interacting field theory: a self-consistent approximation
• Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
• Prethermalization and Thermalization in Isolated Quantum Systems
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Emergent equilibrium in many-body optical bistability
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Lifetime of double occupancies in the Fermi-Hubbard model
• Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
• Dynamical transitions and quantum quenches in mean-field models
• Divergent Precursors of the Mott-Hubbard Transition at the Two-Particle Level
• Thermalization of a pump-excited Mott insulator
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Formation of a spin texture in a quantum gas coupled to a cavity
• Metastable superfluidity of repulsive fermionic atoms in optical lattices
• Quantum Slow Relaxation and Metastability due to Dynamical Constraints
• Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Solution for the dynamics of the BCS and central spin problems
• Nonequilibrium Cooper pairing in the nonadiabatic regime
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Superfluid Turbulence: Nonthermal Fixed Point in an Ultracold Bose Gas
• Photoinduced $\eta$ Pairing in the Hubbard Model
• Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Quantum quench phase diagrams of an s-wave BCS-BEC condensate
• Breakdown of traditional many-body theories for correlated electrons
• Non-Equilibrium Dynamics and Weakly Broken Integrability
• Thermalization and light cones in a model with weak integrability breaking
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Quantum phase diagram of the integrable p_x+ip_y fermionic superfluid
• Quantum quenches as classical critical films
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• Entanglement of Exact Excited Eigenstates of the Hubbard Model in Arbitrary Dimension
• Dynamical Buildup of a Quantized Hall Response from Non-Topological States
• Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
• Nonequilibrium dynamics of weakly and strongly paired superconductors
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• Quench-induced Floquet topological p-wave superfluids
• On equilibration and coarsening in the quantum O(N) model at infinite $N$
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Nonthermal symmetry broken states in the strongly interacting Hubbard model
• Transient Dynamics of d-wave Superconductors after a Sudden Excitation
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Exactly solvable pairing model for superconductors with a p+ip-wave symmetry
• Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
• Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Exact and Truncated Dynamics in Nonequilibrium Field Theory
• Dynamical critical scaling of long-range interacting quantum magnets
• Dynamical quantum phase transitions: a brief survey
• Dynamical crossovers in prethermal critical states
• Damping of Bloch oscillations in the Hubbard model
• Causality and quantum criticality in long-range lattice models
• Persistent Hall response in a quantum quench
• Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
• Dynamical spin-orbit coupling of a quantum gas
• Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Signatures of nonadiabatic BCS state dynamics in pump-probe conductivity
• Internal state conversion in ultracold gases
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Fate of Majorana fermions and Chern numbers after a quantum quench
• Probing many-body interactions in an optical lattice clock
• Dynamical delocalization of Majorana edge states by sweeping across a quantum critical point
• Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
• Eigenstate phase transitions and the emergence of universal dynamics in highly excited states
• Universal post-quench prethermalization at a quantum critical point
• Exact solution of the p+ip pairing Hamiltonian and a hierarchy of integrable models
• Dynamical criticality and domain-wall coupling in long-range Hamiltonians
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Interaction Quenches of Fermi Gases
• Dynamical order and superconductivity in a frustrated many-body system
• Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
• Cumulative identical spin rotation effects in collisionless trapped atomic gases
• Prethermal quantum many-body Kapitza phases of periodically driven spin systems
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Universal dynamics on the way to thermalisation
• Normal and anomalous solitons in the theory of dynamical Cooper pairing
• Slow Dynamics in Translation-Invariant Quantum Lattice Models
• Non-thermal fixed points: Universal dynamics far from equilibrium
• Topological Blocking in Quantum Quench Dynamics
• One-dimensional quantum many body systems with long-range interactions
• Finite-size scaling exponents and entanglement in the two-level BCS model
• Dynamical formation and manipulation of Majorana fermions in driven quantum wires
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Cooper pair turbulence in atomic Fermi gases
• Linear Ramps of Interaction in the Fermionic Hubbard Model
• Non-thermal melting of Neel order in the Hubbard model
• Nonequilibrium dynamical mean-field theory for bosonic lattice models
• A cavity-QED quantum simulator of dynamical phases of a BCS superconductor
• Nonequilibrium dynamical cluster theory
• Transient superconductivity without superconductivity
• Dynamical Transition in Interaction Quenches of the One-Dimensional Hubbard Model
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
• Spectroscopic signatures of nonequilibrium pairing in atomic Fermi gases
• Prethermalization from a low-density Holstein-Primakoff expansion
• Non-equilibrium criticality in quench dynamics of infinite-range spin models
• Spin dipole oscillation and relaxation of coherently coupled Bose-Einstein condensates
• Non-equilibrium Optical Conductivity: General Theory and Application to Transient Phases
• Self-trapping in an array of coupled 1D Bose gases
• Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes
• Non-equilibrium dynamics in the antiferromagnetic Hubbard model
• Quench dynamics of superconducting fluctuations and optical conductivity in a disordered system
• Lightwave Terahertz Quantum Manipulation of Non-equilibrium Superconductor Phases and their Collective Modes
• Relaxation and persistent oscillations of the order parameter in the non-stationary BCS theory
• Impact of damping on superconducting gap oscillations induced by intense Terahertz pulses
• Time-resolved spectral density of interacting fermions following a quench to a superconducting critical point
• Noise Correlations in time- and angular-resolved photoemission spectroscopy
• Simulation of XXZ Spin Models using Sideband Transitions in Trapped Bosonic Gases
• Thermalization of field driven quantum systems
• Competition between Spin Echo and Spin Self-Rephasing in a Trapped Atom Interferometer
• Spectroscopic probes of isolated nonequilibrium quantum matter: Quantum quenches, Floquet states, and distribution functions
• Thermalization and its Breakdown for a Large Nonlinear Spin
• Experimental realization of fragmented models in tilted Fermi-Hubbard chains
• Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Crossover from fast to slow dynamics in quantum Ising chains with long range interactions
• Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
• Accelerated gap collapse in a Slater antiferromagnet
• Quantum aging and dynamical universality in the long-range $O(N\to \infty )$ model
• Extended dynamic Mott-transition in the two-band Hubbard model out of equilibrium
• Dynamics of emergent Cooper pairing at finite temperatures
• Nonequilibrium dynamics of superconductivity in the attractive Hubbard model
• Transport and spectral signatures of transient fluctuating superfluids in the absence of long-range order
• Nonequilibrium self-energy functional approach to the dynamical Mott transition
• Model Predictions for Time-Resolved Transport Measurements Made near the Superfluid Critical Points of Cold Atoms and $K_3{C}_{60}$ Films
• Fermion-induced Dynamical Critical Point
• Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
• Non-adiabatic dynamics of superfluid spin-orbit coupled degenerate Fermi gas
• Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
• Topological quantum control: Edge currents via Floquet depinning of skyrmions in the $\nu =0$ graphene quantum Hall antiferromagnet

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