Interferometry based on quantum Kibble-Zurek mechanism
arXiv:2204.01380 · doi:10.1103/PhysRevB.106.184301
Abstract
We propose an interferometry within the framework of quantum Kibble-Zurek mechanism by exemplifying two prototypical quench protocols, namely the round-trip and quarter-turn ones, on the transverse Ising and quantum chains. Each protocol contains two linear ramps that drive the system across quantum critical point twice. The two linear ramps arouse two respective nonadiabatic critical dynamics that are well described by the quantum Kibble-Zurek mechanism. However, in combination, the two critical dynamics can interfere with each other deeply. As an effect of the interference, the dynamical phase is exposed in the final excitation probability, which leads to a quantum coherent many-body oscillation in the density of defects with predictable characteristic period. Thus such an interference is available for direct experimental observations. In the quantum model, we show that an interference can also arise from the interplay between two different critical dynamics derived from a critical point and a tricritical point. Furthermore, we demonstrate that the interference influences the dephasing of the excited quasiparticle modes intricately by disclosing a phenomenon of multiple length scales, diagonal and off-diagonal ones, in the defect-defect correlators. It turns out that the dephased result relies on how the diagonal and off-diagonal lengths are modulated by the controllable parameter in a quench protocol.
arXiv comment19 pages, 12 figures
References in corpus (78)
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Cosmological Experiments in Condensed Matter Systems
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Dynamics of a Quantum Phase Transition
- Programmable quantum simulation of 2D antiferromagnets with hundreds of 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
- 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
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Periodic thermodynamics of isolated systems
- 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
- Periodic steady state and interference in a periodically driven quantum system
- 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
- Exotic Freezing of Response in Quantum Many-Body System
- Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
- 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
- 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
- Onset of Floquet Thermalisation
- Critical dynamics of decoherence
- Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
- Space-time renormalization in phase transition dynamics
- Scaling and diabatic effects in quantum annealing with a D-Wave device
- Spontaneous nucleation of structural defects in inhomogeneous ion chains
- Freezing a Quantum Magnet by Repeated Quantum Interference: An Experimental Realization
- Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
- 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 finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
- Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
- 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
- Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
- Realization of inverse Kibble-Zurek scenario with trapped Bose gases
- Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
- Sonic horizons and causality in the phase transition dynamics
- Topological Blocking in Quantum Quench Dynamics
- How periodic driving heats a disordered quantum spin chain
- Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
- Testing quantum adiabaticity with quench echo
- Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
- Topological relics of symmetry breaking: Winding numbers and scaling tilts from random vortex-antivortex pairs
- Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
- Kibble-Zurek mechanism in the Ising Field Theory
- Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field
- Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
- Dynamical Many-body Localization and Delocalization in Periodically Driven Closed Quantum Systems
- Reverse quenching in a one-dimensional Kitaev model
- Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
- Locating quantum critical points with Kibble-Zurek quenches
- Magnetic field dependence of the entanglement entropy of one dimensional spin systems in quantum phase transition induced by a quench
- Multitime Landau-Zener model: classification of solvable Hamiltonians
- Defect production and quench dynamics in the three-dimensional Kitaev model
Cited by in corpus (9)
- Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
- Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
- Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
- Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
- Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
- Quenched dynamics and pattern formation in clean and disordered Bogoliubov-de Gennes superconductors
- Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
- Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
- Anomalous Dynamical Scaling at Topological Quantum Criticality