Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
arXiv:2307.08599 · doi:10.1103/PhysRevB.108.214307
Abstract
According to the Kibble-Zurek mechanism, there is a universal power-law relationship between the defect density and the quench rate during a slow linear quench through a critical point. It is generally accepted that a fast quench results in a deviation from the Kibble-Zurek scaling law and leads to the formation of a saturated plateau in the defect density. By adjusting the quench rate from slow to very fast limits, we observe the varying quench dynamics and identify a pre-saturated regime that lies between the saturated and Kibble-Zurek regimes. This significant result is elucidated through the adiabatic-impulse approximation first, then verified by a rigorous analysis on the transverse Ising chain as well. As we approach the turning point from the saturated to pre-saturated regimes, we notice a change in scaling laws and, with an increase in the initial transverse field, a shrinking of the saturated regime until it disappears. During another turning point from the Kibble-Zurek to pre-saturated regimes, we observe an attenuation of the dephasing effect and a change in the behavior of the kink-kink correlation function from a Gaussian decay to an exponential decay. Finally, the coherent many-body oscillation after quench exhibits different behaviors in the three regimes and shows a significant change of scaling behavior between the S and PS regimes.
arXiv comment12 pages, 7 figures
References in corpus (83)
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of a Quantum Phase Transition
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Big bang simulation in superfluid 3He-B -- Vortex nucleation in neutron-irradiated superflow
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Universal adiabatic dynamics across a quantum critical point
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
- The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Defect production in non-linear quench across a quantum critical point
- From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
- Emergence of coherence and the dynamics of quantum phase transitions
- Exact results for quench dynamics and defect production in a two-dimensional model
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Observation of Magnetic Flux Generated Spontaneously During a Rapid Quench of Superconducting Films
- Quantum Quench of an Atomic Mott Insulator
- Entropy and Correlation Functions of a Driven Quantum Spin Chain
- Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
- Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
- Soliton creation during a Bose-Einstein condensation
- Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
- Winding up superfluid in a torus via Bose Einstein condensation
- Defect formation beyond Kibble-Zurek mechanism and holography
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Dynamics of the Bose-Hubbard model: transition from Mott insulator to superfluid
- Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
- Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Scaling and diabatic effects in quantum annealing with a D-Wave device
- Spontaneous nucleation of structural defects in inhomogeneous ion chains
- Kibble-Zurek universality in a strongly interacting Fermi superfluid
- Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
- Symmetry breaking bias and the dynamics of a quantum phase transition
- Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
- Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
- Dynamical Equilibration Across a Quenched Phase Transition in a Trapped Quantum Gas
- Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
- Quantitative verification of the Kibble-Zurek mechanism in quantum non-equilibrium dynamics
- Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
- Non-equilibrium dynamics of Bosonic Mott insulators in an electric field
- Creation and counting of defects in a temperature quenched Bose-Einstein Condensate
- Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
- Realization of inverse Kibble-Zurek scenario with trapped Bose gases
- Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
- Sonic horizons and causality in the phase transition dynamics
- Topological Blocking in Quantum Quench Dynamics
- Defect Saturation in a Rapidly Quenched Bose Gas
- Double universality of a quantum phase transition in spinor condensates: the Kibble-Żurek mechanism and a conservation law
- Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
- Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
- Topological relics of symmetry breaking: Winding numbers and scaling tilts from random vortex-antivortex pairs
- Kibble-Zurek mechanism in the Ising Field Theory
- An exactly solvable quench protocol for integrable spin models
- Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
- Reverse quenching in a one-dimensional Kitaev model
- Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
- Universal Early Coarsening of Quenched Bose Gases
- Quench dynamics and scaling laws in topological nodal loop semimetals
- Ramp and periodic dynamics across non-Ising critical points
- Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
- 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
- Interferometry based on quantum Kibble-Zurek mechanism
- Variations of the Kibble-Zurek scaling exponents of trapped Bose gases
- Quantum Formation of Topological Defects
- Structural phase transition and its critical dynamics from holography
- Defect production and quench dynamics in the three-dimensional Kitaev model
- Universal defect density scaling in an oscillating dynamic phase transition
- Universal scaling of work statistics for quantum quenches
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- Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy
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- Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
- Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
- Apparent delay of the Kibble-Zurek mechanism in quenched open systems
- Universal Quench Dynamics of an Open Quantum System
- Topological Defects from Quantum Reset Dynamics
- Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
- Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
- Multipartite Entanglement in Crossing the Quantum Critical Point
- Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
- Anomalous Dynamical Scaling at Topological Quantum Criticality
- Dynamical Phase Transitions in Periodically Driving 1D Ising Model