Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
arXiv:2004.04162 · doi:10.1103/PhysRevB.104.014406
Abstract
Kibble-Zurek theory (KZ) stands out as the most robust theory of defect generation in the dynamics of phase transitions. KZ utilizes the structure of equilibrium states away from the transition point to estimate the excitations due to the transition using adiabatic and impulse approximations. Here we show, the actual nonequilibrium dynamics lead to a qualitatively different scenario from KZ, as far correlations between the defects (rather than their densities) are concerned. For a quantum Ising chain, we show, this gives rise to a Gaussian spatial decay in the domain wall (kinks) correlations, while KZ would predict an exponential fall. We propose a simple but general framework on top of KZ, based on the "quantum coarsening" dynamics of local correlators in the supposed impulse regime. We outline how our picture extends to generic interacting situations.
arXiv commentMain draft: 11 pages, 2 figures
References in corpus (34)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting 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
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of a Quantum Phase Transition
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Generalized Gibbs ensemble in integrable lattice models
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- 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
- Generalized Thermalization in an Integrable Lattice System
- Periodically Driving a Many-Body Localized Quantum System
- Spatial coherence and density correlations of trapped Bose gases
- Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Defect production in non-linear quench across a quantum critical point
- Entropy and Correlation Functions of a Driven Quantum Spin Chain
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Entanglement and matrix elements of observables in interacting integrable systems
- Quantum Quenches in the Thermodynamic Limit
- Winding up superfluid in a torus via Bose Einstein condensation
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Space-time renormalization in phase transition dynamics
- Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
- Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
- The Quantum Adiabatic Approximation and the Geometric Phase
- Spatial nonlocal pair correlations in a repulsive 1D Bose gas
- Eigenstate Gibbs Ensemble in Integrable Quantum Systems
- Kibble-Zurek Scaling and String-Net Coarsening in Topologically Ordered Systems
- Dynamics of a quantum phase transition with decoherence: the quantum Ising chain in a static spin environment
- Accuracy of the adiabatic-impulse approximation for closed and open quantum systems
- Two-body anticorrelation in a harmonically trapped ideal Bose gas
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- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
- Quantum coarsening and collective dynamics on a programmable simulator
- Benchmarking digital quantum simulations above hundreds of qubits using quantum critical dynamics
- Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
- Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
- Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
- Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
- Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
- Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
- Quantum critical dynamics in a spinor Hubbard model quantum simulator
- Interferometry based on quantum Kibble-Zurek mechanism
- Dynamics of vortex defect formation in two dimensional Coulomb crystals
- Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
- 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
- Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
- Entanglement generation and scaling from noisy quenches across a quantum critical point
- Separation of the Kibble-Zurek Mechanism from Quantum Criticality
- Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
- Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
- Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain