Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions

Abstract

We investigate the effects of fluctuations on the dynamics of an isolated quantum system represented by a ${\varphi }^4$ field theory with $O(N)$ symmetry after a quench in $d>2$ spatial dimensions. A perturbative renormalization-group approach involving a dimensional expansion in $\epsilon =4-d$ is employed in order to study the evolution within a prethermal regime controlled by elastic dephasing. In particular, we focus on a quench from a disordered initial state to the critical point, which introduces an effective temporal boundary in the evolution. At this boundary, the relevant fields acquire an anomalous scaling dimension, while the evolution of both the order parameter and its correlation and response functions display universal aging. Since the relevant excitations propagate ballistically, a light cone in real space emerges. At longer times, the onset of inelastic scattering appears as secularly growing self-generated dissipation in the effective Keldysh field theory, with the strength of the dissipative vertices providing an estimate for the time needed to leave the prethermal regime.

References in corpus (30)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Quench in the Transverse Field Ising Chain
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Dephasing and the steady state in quantum many-particle systems
• Quantum quenches in 1+1 dimensional conformal field theories
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Quantum quench dynamics of the Luttinger model
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Tracking Cooper Pairs in a Cuprate Superconductor by Ultrafast Angle-Resolved Photoemission
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Quantum Quenches, Thermalization and Many-Body Localization
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Quantum Quench from a Thermal Initial State
• Nonthermal fixed points and the functional renormalization group
• Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Strong versus weak wave-turbulence in relativistic field theory
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Universal post-quench prethermalization at a quantum critical point
• Fluctuation-induced forces in periodic slabs: Breakdown of epsilon expansion at the bulk critical point and revised field theory
• Quench dynamics of one-dimensional interacting bosons in a disordered potential: Elastic dephasing and critical speeding-up of thermalization
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model

Cited by in corpus (46)

• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Quantum quench dynamics
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Coherent and dissipative dynamics at quantum phase transitions
• Dynamical crossovers in prethermal critical states
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Kinetic theory of non-thermal fixed points in a Bose gas
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Self-similar dynamics of order parameter fluctuations in pump-probe experiments
• Dynamic finite-size scaling after a quench at quantum transitions
• Typicality of Prethermalization
• Test of quantum thermalization in the two-dimensional transverse-field Ising model
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Universal equilibrium scaling functions at short times after a quench
• Prethermalization from a low-density Holstein-Primakoff expansion
• 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
• Quench dynamics of superconducting fluctuations and optical conductivity in a disordered system
• Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
• Dynamics after quenches in one-dimensional quantum Ising-like systems
• Time-resolved spectral density of interacting fermions following a quench to a superconducting critical point
• Critical properties of the prethermal Floquet Time Crystal
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Universal short time quantum critical dynamics of finite size systems
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Postquench prethermalization in a disordered quantum fluid of light
• Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
• Quenched dynamics of classical isolated systems: the spherical spin model with two-body random interactions or the Neumann integrable model
• Quantum aging and dynamical universality in the long-range $O(N\to \infty )$ model
• Quench dynamics in lattices above one dimension: the free fermionic case
• Pre-asymptotic dynamics of the infinite size Neumann (p=2 spherical) model
• Dual dynamic scaling in deconfined quantum criticality
• Fermion-induced Dynamical Critical Point
• Short-imaginary-time quantum critical dynamics in the J-Q${}_3$ spin chain
• Total Energy Dynamics and Asymptotics of the Momentum Distribution Following an Interaction Quench in a Two-component Fermi Gas
• First numerical evidence of Janssen-Oerding's prediction in a three-dimensional spin model far from equilibrium
• Far-from-equilibrium universality in two-dimensional Heisenberg antiferromagnets
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Dynamical phase transition of light in time-varying nonlinear dispersive media
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Quantum quench and thermalization to GGE in arbitrary dimensions and the odd-even effect