Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
arXiv:1806.10646 · doi:10.1103/PhysRevLett.121.200601
Abstract
When a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a universal power-law predicted by the Kibble-Zurek mechanism. We analyze the full counting statistics of kinks and report the exact kink number distribution in the transverse-field quantum Ising model. Kink statistics is described by the Poisson binomial distribution with all cumulants exhibiting a universal power-law scaling with the quench rate. In the absence of finite-size effects, the distribution approaches a normal one, a feature that is expected to apply broadly in systems described by the Kibble-Zurek mechanism.
arXiv comment5+3pp, 2+1 figures, including high order cumulants
References in corpus (24)
- Nonequilibrium dynamics of closed interacting quantum systems
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of a Quantum Phase Transition
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Universal adiabatic dynamics across a quantum critical point
- Digitized adiabatic quantum computing with a superconducting circuit
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- 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
- Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
- Universal Statistics of Transport in Disordered Conductors
- Winding up superfluid in a torus via Bose Einstein condensation
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Order parameter statistics in the critical quantum Ising chain
- Full Counting Statistics in the Transverse Field Ising Chain
- Fluctuations in finite critical and turbulent systems
- Formation of helical ion chains
- O(N) symmetry-breaking quantum quench: Topological defects versus quasiparticles
- System size scaling of topological defect creation in a second-order dynamical quantum phase transition
- Non-Gaussian distribution of collective operators in quantum spin chains
Cited by in corpus (74)
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
- Coherent and dissipative dynamics at quantum phase transitions
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
- Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
- Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
- Work statistics across a quantum phase transition
- Quantum Kibble-Zurek physics in long-range transverse-field Ising models
- Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
- Probing the Full Distribution of Many-Body Observables by Single-Qubit Interferometry
- Simulated quantum annealing as a simulator of non-equilibrium quantum dynamics
- Relaxation of the order-parameter statistics in the Ising quantum chain
- Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
- Scaling Advantage in Approximate Optimization with Quantum Annealing
- Kibble-Zurek mechanism in the Ising Field Theory
- Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
- Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
- Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
- Kibble-Zurek Mechanism for Nonequilibrium Phase Transitions in Driven Systems with Quenched Disorder
- Benchmarking quantum annealing dynamics: the spin-vector Langevin model
- 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
- Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
- Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
- Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
- Non-Gaussian work statistics at finite-time driving
- Large Deviations Beyond the Kibble-Zurek Mechanism
- Universal Vortex Statistics and Stochastic Geometry of Bose-Einstein Condensation
- Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition
- Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
- Multitime Landau-Zener model: classification of solvable Hamiltonians
- Entropy of the quantum work distribution
- Exact thermal properties of free-fermionic spin chains
- Cooperative Light Emission in the Presence of Strong Inhomogeneous Broadening
- Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices
- Structural phase transition and its critical dynamics from holography
- Universality of photon counting below a bifurcation threshold
- Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
- Driven one-dimensional noisy Kitaev chain
- Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy
- Work statistics across a quantum critical surface
- Speeding up quantum adiabatic processes with dynamical quantum geometric tensor
- Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer
- Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
- 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
- Universal defects statistics with strong long-range interactions
- Pattern formation in charge density wave states after a quantum quench
- Universal scaling of work statistics for quantum quenches
- From black hole to one-dimensional chain: parity symmetry breaking and kink formation
- Ergodicity Breaking and Scaling Relations for Finite-Time First-Order Phase Transition
- Statistics of topological defects across a phase transition in a digital superconducting quantum processor
- Kibble Zurek mechanism in rapidly quenched phase transition dynamics
- Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
- Quantum work statistics of controlled evolutions
- Universal work statistics in long-range interacting quantum systems
- Kibble-Zurek Dynamics & Statistics of Topological Defects in Chiral Superfluid He Films
- Universal Critical Holography and Domain Wall Formation
- Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
- Kibble-Zurek mechanism and errors of gapped quantum phases
- Universal Quench Dynamics of an Open Quantum System
- Separation of the Kibble-Zurek Mechanism from Quantum Criticality
- Full-counting statistics of particle distribution on a digital quantum computer
- Topologically Protected Metastable States in Classical Dynamics
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
- Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
- Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain
- Learning topological defects formation with neural networks in a quantum phase transition
- Digitized counterdiabatic quantum critical dynamics
- Quantum cluster kink and ring frustration
- Anomalous Dynamical Scaling at Topological Quantum Criticality