Kibble-Zurek scaling in the Yang-Lee edge singularity

Abstract

We study the driven dynamics across the critical points of the Yang-Lee edge singularities (YLESes) in a finite-size quantum Ising chain with an imaginary symmetry-breaking field. In contrast to the conventional classical or quantum phase transitions, these phase transitions are induced by tuning the strength of the dissipation in a non-Hermitian system and can occur even at finite size. For conventional phase transitions, universal behaviors in driven dynamics across critical points are usually described by the Kibble-Zurek mechanism, which states that the scaling in dynamics is dictated by the critical exponents associated with one critical point and topological defects will emerge after the quench. While the mechanism leading to topological defects breaks down in the YLES, we find that for small lattice size, the driven dynamics can still be described by the Kibble-Zurek scaling with the exponents determined by the $(0+1)$-dimensional YLES. For medium finite size, however, the driven dynamics can be described by the Kibble-Zurek scaling with two sets of critical exponents determined by both the $(0+1)$-dimensional and the $(1+1)$-dimensional YLESes.

arXiv comment4.5+3 pages, 4+8 figures; The Experimental feasibility and the discussion on the KZM in Parity-time symmetry-breaking phase transition have been added

References in corpus (34)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Nonequilibrium dynamics of closed interacting quantum systems
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Spawning rings of exceptional points out of Dirac cones
• 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
• Universal adiabatic dynamics across a quantum critical point
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• 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
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Defect production in non-linear quench across a quantum critical point
• Observation of Lee-Yang zeros
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Soliton creation during a Bose-Einstein condensation
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Probing Lee-Yang zeros and coherence sudden death
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Universal nonequilibrium quantum dynamics in imaginary time
• Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Kibble-Zurek Mechanism and Finite-Time Scaling
• Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
• Non-equilibrium dynamics of Bosonic Mott insulators in an electric field
• Crossover from the classical to the quantum Kibble-Zurek scaling
• Domain Formation: Decided Before, or After the Transition?
• Universal dynamic scaling in three-dimensional Ising spin glasses
• Scaling of the entanglement spectrum in driving critical dynamics
• Density of Yang-Lee zeros in the thermodynamic limit from tensor network methods
• Scaling in driven dynamics starting in the vicinity of a quantum critical point

Cited by in corpus (32)

• Non-Hermitian Physics
• Topological Non-Hermitian skin effect
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Parity-time-symmetric topological superconductor
• The Kibble-Zurek mechanism at exceptional points
• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
• Non-Hermitian Kibble-Zurek mechanism with tunable complexity in single-photon interferometry
• Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
• Determination of universal critical exponents using Lee-Yang theory
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Probing Yang-Lee Edge Singularity by Central Spin Decoherence
• Experimental observation of the Yang-Lee quantum criticality in open systems
• Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Hybrid scaling properties of localization transition in a non-Hermitian disorder Aubry-André model
• Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
• Kibble-Zurek scaling in one-dimensional localization transitions
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model
• Imaginary-Temperature Zeros for Quantum Phase Transitions
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Many-body exceptional points in colliding condensates
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Driven Critical Dynamics in Tricitical Point
• Universal Quench Dynamics of an Open Quantum System
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Anomalous Dynamical Scaling at Topological Quantum Criticality