Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
arXiv:1903.02145 · doi:10.1038/s42005-020-0306-6
Abstract
We experimentally probe the distribution of kink pairs resulting from driving a one-dimensional quantum Ising chain through the paramagnet-ferromagnet quantum phase transition, using a single trapped ion as a quantum simulator in momentum space. The number of kink pairs after the transition follows a Poisson binomial distribution, in which all cumulants scale with a universal power-law as a function of the quench time in which the transition is crossed. We experimentally verified this scaling for the first cumulants and report deviations due to noise-induced dephasing of the trapped ion. Our results establish that the universal character of the critical dynamics can be extended beyond the paradigmatic Kibble-Zurek mechanism, which accounts for the mean kink number, to characterize the full probability distribution of topological defects.
arXiv commentMain text 11 pages, 4 Figures, Supplemental Information: 9 pages, 3 Figures
References in corpus (29)
- Probing many-body dynamics on a 51-atom quantum simulator
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of a Quantum Phase Transition
- 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
- Universal adiabatic dynamics across a quantum critical point
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
- 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
- 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
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
- Topology induced anomalous defect production by crossing a quantum critical point
- Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
- Zurek-Kibble Mechanism for the Spontaneous Vortex Formation in Josephson Tunnel Junctions: New Theory and Experiment
- Kibble-Zurek mechanism in colloidal monolayers
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
- Kibble-Zurek universality in a strongly interacting Fermi superfluid
- Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions
- Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
- Quantitative verification of the Kibble-Zurek mechanism in quantum non-equilibrium dynamics
- Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
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- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
- Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
- Coherent and dissipative dynamics at quantum phase transitions
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- 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
- Work statistics across a quantum phase transition
- Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
- Non-Hermitian Kibble-Zurek mechanism with tunable complexity in single-photon interferometry
- Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
- Kibble-Zurek mechanism in the Ising Field Theory
- Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field
- Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
- Quench dynamics and scaling laws in topological nodal loop semimetals
- Benchmarking quantum annealing dynamics: the spin-vector Langevin model
- Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
- 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
- Exact thermal properties of free-fermionic spin chains
- Bath engineering enhanced quantum critical engines
- Structural phase transition and its critical dynamics from holography
- Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
- Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy
- Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
- Driven one-dimensional noisy Kitaev chain
- Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer
- Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
- Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
- 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
- Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
- Universal defects statistics with strong long-range interactions
- 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
- Ergodicity Breaking and Scaling Relations for Finite-Time First-Order Phase Transition
- Momentum space magic for the transverse field quantum Ising model
- Universal Critical Holography and Domain Wall Formation
- Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
- Fighting Exponentially Small Gaps by Counterdiabatic Driving
- Full-counting statistics of particle distribution on a digital quantum computer
- Learning topological defects formation with neural networks in a quantum phase transition
- Digitized counterdiabatic quantum critical dynamics
- Kibble-Zurek scaling from linear response theory
- Multipartite Entanglement in Crossing the Quantum Critical Point
- Ultrafast light-induced long range antiferromagnetic correlations in paramagnets