Exploring dynamical phase transitions and prethermalization with quantum noise of excitations

Abstract

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced excitations. We consider both the O(N) model in the large N limit and a spin model with long range interactions and show that the dynamical criticality of their prethermal steady-states manifests most dramatically not in the average number of excitations but in their higher moments. We argue that the growth of defect fluctuations carries unique signatures of the dynamical criticality, irrespective of the precise details of the model. Our theoretical results should be relevant to quantum quench experiments with ultracold bosonic atoms in optical lattices.

10 pages; 10 figures

References in corpus (28)

• Many-Body Physics with Ultracold Gases
• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Light-cone-like spreading of correlations in a quantum many-body system
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Quantum dynamics of a single, mobile spin impurity
• Quantum Field Theory in the Large N Limit: a review
• Prethermalization
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Unconventional magnetism via optical pumping of interacting spin systems
• Pre-thermalization in a non-integrable quantum spin chain after a quench
• Quench Dynamics in a Model with Tuneable Integrability Breaking
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Quantum quench in interacting field theory: a self-consistent approximation
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
• Dynamical transitions and quantum quenches in mean-field models
• Quantum quenches as classical critical films
• On equilibration and coarsening in the quantum O(N) model at infinite $N$
• Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
• Quantum quenches, linear response and superfluidity out of equilibrium

Cited by in corpus (65)

• Dynamical quantum phase transitions: a review
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Quantum quench dynamics
• Prethermalization and universal dynamics in near-integrable quantum systems
• Exploring dynamical phase transitions with cold atoms in an optical cavity
• Ultra-precise holographic beam shaping for microscopic quantum control
• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Anomalous dynamical phase in quantum spin chains with long-range interactions
• Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Thermalization and light cones in a model with weak integrability breaking
• Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Coherent and dissipative dynamics at quantum phase transitions
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Dynamical crossovers in prethermal critical states
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
• Kinetic theory of non-thermal fixed points in a Bose gas
• Dynamical phase transitions in the two-dimensional transverse-field Ising model
• Dynamical Quantum Phase Transitions in Systems with Continuous Symmetry Breaking
• Exact solution for the quench dynamics of a nested integrable system
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Approximate light cone effects in a non-relativistic quantum field theory after a local quench
• Typicality of Prethermalization
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• A cavity-QED quantum simulator of dynamical phases of a BCS superconductor
• Prethermalization in the transverse-field Ising chain with long-range interactions
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Universal equilibrium scaling functions at short times after a quench
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Bi-directional universal dynamics in a spinor Bose gas close to a non-thermal fixed point
• Non-equilibrium criticality in quench dynamics of infinite-range spin models
• Non equilibrium phase transitions and Floquet Kibble-Zurek scaling
• Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes
• Quench dynamics of superconducting fluctuations and optical conductivity in a disordered system
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
• Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Critical properties of the prethermal Floquet Time Crystal
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Reservoir interactions during Bose-Einstein condensation: modified critical scaling in the Kibble-Zurek mechanism of defect formation
• Entanglement properties of the critical quench of O(N) bosons
• Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Cooling arbitrary near-critical systems using hyperbolic quenches
• Quantum aging and dynamical universality in the long-range $O(N\to \infty )$ model
• Universal long-time behavior of stochastically driven interacting quantum systems
• Entanglement propagation and dynamics in non-additive quantum systems
• Fermion-induced Dynamical Critical Point
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• Quantum coherence assisted dynamical phase transition
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Speedup of thermodynamic entropy production via quantum dynamical criticality
• Dynamical phase transition of light in time-varying nonlinear dispersive media
• Asymmetry and dynamical criticality
• Effective metal-insulator non-equilibrium quantum phase transition