One-half of the Kibble-Zurek quench followed by free evolution

Abstract

We drive the one-dimensional quantum Ising chain in the transverse field from the paramagnetic phase to the critical point and study its free evolution there. We analyze excitation of such a system at the critical point and dynamics of its transverse magnetization and Loschmidt echo during free evolution. We discuss how the system size and quench-induced scaling relations from the Kibble-Zurek theory of non-equilibrium phase transitions are encoded in quasi-periodic time evolution of the transverse magnetization and Loschmidt echo.

arXiv comment19 pages, version accepted for publication

References in corpus (42)

• Nonequilibrium dynamics of closed interacting quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Cosmological Experiments in Condensed Matter Systems
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Ground state overlap and quantum phase transitions
• Dynamics of a Quantum Phase Transition
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Fidelity approach to quantum phase transitions
• Universal adiabatic dynamics across a quantum critical point
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Quench dynamics across quantum critical points
• Prethermalization and universal dynamics in near-integrable quantum systems
• Dynamical Correlations after a Quantum Quench
• Adiabatic-Impulse approximation for avoided level crossings: from phase transition dynamics to Landau-Zener evolutions and back again
• Exotic Freezing of Response in Quantum Many-Body System
• Emergent thermodynamics in a quenched quantum many-body system
• Quantum phase transitions in matrix product systems
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Optimal non-linear passage through a quantum critical point
• Quantum fidelity in the thermodynamic limit
• Ultracold bosons with short-range interaction in regular optical lattices
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
• Space-time renormalization in phase transition dynamics
• Transverse Ising Chain under Periodic Instantaneous Quenches: Dynamical Many-Body Freezing and Emergence of Solitary Oscillation
• Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
• Theory of defect production in nonlinear quench across a quantum critical point
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• Decoherence in the dynamical quantum phase transition of the transverse Ising chain
• Asymptotic work statistics of periodically driven Ising chains
• Quantum Critical Scaling under Periodic Driving
• Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
• On the possibility of complete revivals after quantum quenches to a critical point
• Dynamics of a quantum phase transition with decoherence: the quantum Ising chain in a static spin environment
• How to fix a broken symmetry: Quantum dynamics of symmetry restoration in a ferromagnetic Bose-Einstein condensate
• Fidelity approach to quantum phase transitions in quantum Ising model

Cited by in corpus (17)

• Quench dynamics and zero-energy modes: the case of the Creutz model
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Universal dynamical scaling of long-range topological superconductors
• Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
• Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
• Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble-Zurek mechanism
• Locating quantum critical points with Kibble-Zurek quenches
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Return amplitude after a quantum quench in the XY chain
• Exact one- and two-site reduced dynamics in a finite-size quantum Ising ring after a quench: A semi-analytical approach
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description