Nonequilibrium quench dynamics in quantum quasicrystals

Abstract

We study the nonequilibrium dynamics of a quasiperiodic quantum Ising chain after a sudden change in the strength of the transverse field at zero temperature. In particular we consider the dynamics of the entanglement entropy and the relaxation of the magnetization. The entanglement entropy increases with time as a power-law, and the magnetization is found to exhibit stretched-exponential relaxation. These behaviors are explained in terms of anomalously diffusing quasiparticles, which are studied in a wave packet approach. The nonequilibrium magnetization is shown to have a dynamical phase transition.

17 pages, 15 figures; revised version; to appear in New Journal of Physics

References in corpus (39)

• Thermalization and its mechanism for generic isolated quantum systems
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum Quench in the Transverse Field Ising Chain
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• The Luttinger model following a sudden interaction switch-on
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Dephasing and the steady state in quantum many-particle systems
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Strong and weak thermalization of infinite non-integrable quantum systems
• Many-body localization in one dimension as a dynamical renormalization group fixed point
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Quench dynamics across quantum critical points
• Strongly correlated fermions after a quantum quench
• Quantum quench dynamics of the Luttinger model
• Absence of Thermalization in Nonintegrable Systems
• Effective thermal dynamics following a quantum quench in a spin chain
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Dynamical Correlations after a Quantum Quench
• Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
• Quantum quenches in a spinor condensate
• Quantum Quenches, Thermalization and Many-Body Localization
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Quantum Quench from a Thermal Initial State
• Dynamics in the Ising field theory after a quantum quench
• Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
• Quantum relaxation after a quench in systems with boundaries
• Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
• Exact infinite-time statistics of the Loschmidt echo for a quantum quench
• Quantum relaxation and finite size effects in the XY chain in a transverse field after global quenches
• Entanglement entropy of aperiodic quantum spin chains
• Entanglement in spin chains with gradients
• Dynamic correlations, fluctuation-dissipation relations, and effective temperatures after a quantum quench of the transverse field Ising chain
• Correlation function of weakly interacting bosons in a disordered lattice
• Renormalization Group Approach for the Wave Packet Dynamics in Golden-Mean and Silver-Mean Labyrinth Tilings
• Statistics of the Work in Quantum Quenches, Universality and the Critical Casimir Effect
• Properties of 1D classical and quantum Ising quasicrystals: rigorous results

Cited by in corpus (19)

• Recent progress in many-body localization
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Strong Disorder RG approach - a short review of recent developments
• Entanglement spreading after a geometric quench in quantum spin chains
• Self-dual quasiperiodic systems with power-law hopping
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Dynamics of a quantum phase transition in the Aubry-André-Harper model with $p$-wave superconductivity
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivity
• Disorder-induced Enhancement of Entanglement Growth in One Dimension: Information Leakage at the scale of localization length
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Probing dynamical criticality near quantum phase transitions
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Sudden quenches in quasiperiodic Ising model
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model
• Photo-induced Dynamics of Quasicrystalline Excitonic Insulator