Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
arXiv:2204.13529 · doi:10.1103/PhysRevLett.130.060402
Abstract
The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect density as a function of the quench time. We focus on the deviations from KZM experimentally observed in rapid quenches and establish their universality. While KZM scaling holds below a critical quench rate, for faster quenches the defect density and the freeze-out time become independent of the quench rate and exhibit a universal power-law scaling with the final value of the control parameter. These predictions are verified in several paradigmatic scenarios in both the classical and quantum domains.
arXiv comment6 pp, 4 figures
References in corpus (63)
- Nonequilibrium dynamics of closed interacting quantum systems
- 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
- The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Symmetry Breaking and Topological Defect Formation in Ion Coulomb Crystals
- Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Density of kinks after a quench: When symmetry breaks, how big are the pieces?
- From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
- Observation of Magnetic Flux Generated Spontaneously During a Rapid Quench of Superconducting Films
- Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
- Adiabatic-Impulse approximation for avoided level crossings: from phase transition dynamics to Landau-Zener evolutions and back again
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
- Soliton creation during a Bose-Einstein condensation
- Non-Appearance of Vortices in Fast Mechanical Expansions of Liquid 4He Through the Lambda Transition
- Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
- 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
- Phase separation and pattern formation in a binary Bose-Einstein condensate
- Kibble-Zurek mechanism in colloidal monolayers
- Zurek-Kibble Mechanism for the Spontaneous Vortex Formation in Josephson Tunnel Junctions: New Theory and Experiment
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Critical Dynamics of Symmetry Breaking: Quenches, Dissipation and Cosmology
- Spontaneous nucleation of structural defects in inhomogeneous ion chains
- Kibble-Zurek universality in a strongly interacting Fermi superfluid
- Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions
- Kibble-Zurek scaling and its breakdown for spontaneous generation of Josephson vortices in Bose-Einstein condensates
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Observing Correlated Production of Defects-Antidefects in Liquid Crystals
- Inhomogeneous Kibble-Zurek mechanism: vortex nucleation during Bose-Einstein condensation
- Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
- Dynamical Equilibration Across a Quenched Phase Transition in a Trapped Quantum Gas
- Spontaneous Fluxon Formation in Annular Josephson Tunnel Junctions
- Quantitative verification of the Kibble-Zurek mechanism in quantum non-equilibrium dynamics
- Creation and counting of defects in a temperature quenched Bose-Einstein Condensate
- Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
- Topological Schrödinger cats: Non-local quantum superpositions of topological defects
- Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
- Defect Saturation in a Rapidly Quenched Bose Gas
- Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
- Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
- Domain Formation: Decided Before, or After the Transition?
- Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
- Universal Early Coarsening of Quenched Bose Gases
- Benchmarking quantum annealing dynamics: the spin-vector Langevin model
- Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
- Spontaneous symmetry breaking induced by quantum monitoring
- Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
- Holographic topological defects in a ring: role of diverse boundary conditions
- Quantum Formation of Topological Defects
- Periodicities in a multiply connected geometry from quenched dynamics
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- Quantum coarsening and collective dynamics on a programmable simulator
- Benchmarking digital quantum simulations above hundreds of qubits using quantum critical dynamics
- Motion of a superfluid vortex according to holographic quantum dissipation
- Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
- Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
- Dynamical evolution of spinodal decomposition in holographic superfluids
- Universal Vortex Statistics and Stochastic Geometry of Bose-Einstein Condensation
- Structural phase transition and its critical dynamics from holography
- Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
- Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
- Universal defect density scaling in an oscillating dynamic phase transition
- Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
- Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
- Statistics of topological defects across a phase transition in a digital superconducting quantum processor
- From black hole to one-dimensional chain: parity symmetry breaking and kink formation
- Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
- Nonequilibrium Critical Dynamics with Emergent Supersymmetry
- Apparent delay of the Kibble-Zurek mechanism in quenched open systems
- Paraxial fluids of light
- Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
- Universal Quench Dynamics of an Open Quantum System
- Topological Defects from Quantum Reset Dynamics
- Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
- Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates
- Interior structure of black holes with nonlinear terms
- Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
- Digitized counterdiabatic quantum critical dynamics
- Spatial Form Factor for Point Patterns: Poisson Point Process, Coulomb Gas, and Vortex Statistics
- Anomalous universal adiabatic dynamics: The case of the Fredkin model
- Scaling in Magnetic Neutron Scattering
- Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism
- Anomalous Dynamical Scaling at Topological Quantum Criticality