Finite-rate quench in disordered Chern and topological insulators
arXiv:2502.13579 · doi:10.1103/PhysRevB.111.174307
Abstract
We study the quantum quench of a finite rate across topological quantum transitions in two-dimensional Chern and topological insulators. We choose the representative Haldane model and the Kane-Mele model to investigate the behavior of excitation density generated by the quench and the impact of disorder on it. For the Haldane model, as long as the spectral gap is not closed by disorder, we find the excitation density at the end of the quench obeys the power-law decay with decreasing quench rate, and the power is consistent with the prediction of the Kibble-Zurek mechanism. By contrast, the Kibble-Zurek scaling of excitation density is absent in the Kane-Mele model once disorder is switched on, which we attribute to the emergence of a disorder-induced gapless region. In particular, the anti-Kibble-Zurek behavior of excitation density, namely, larger excitation density at slower quench, is observed at suitable model parameters. Moreover, we demonstrate that particle's onsite occupation can be used as a local measurable quantity to probe the breakdown of adiabatic evolution. The difference of onsite occupation between the time-evolved state and instantaneous ground state at the end of the quench can successfully capture the key features of excitation density for both the Haldane and Kane-Mele models under periodic and more realistic open boundary conditions, thus facilitating the experimental characterization of the quench dynamics in these models.
arXiv comment13 pages, 10 figures
References in corpus (73)
- Quantum Spin Hall Effect in Graphene
- Non-Abelian Anyons and Topological Quantum Computation
- Topological Order and the Quantum Spin Hall Effect
- Nonequilibrium dynamics of closed interacting quantum systems
- Experimental realisation of the topological Haldane model
- Adiabatic Quantum Computing
- 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
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Universal adiabatic dynamics across a quantum critical point
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
- 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
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Quench dynamics near a quantum critical point
- Quantum Gases in Optical Boxes
- From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
- Direct observation of the proliferation of ferroelectric loop domains and vortex-antivortex pairs
- Exact results for quench dynamics and defect production in a two-dimensional model
- Quantum Annealing: An Overview
- Topology induced anomalous defect production by crossing a quantum critical point
- Disordered Topological Insulators: A Non-Commutative Geometry Perspective
- Quantum Quenches in Chern Insulators
- Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
- Non-equilibrium dynamic critical scaling of the quantum Ising chain
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Defect formation beyond Kibble-Zurek mechanism and holography
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Trapping of Topological-Structural Defects in Coulomb Crystals
- Dynamics of a quantum phase transition in the random Ising model
- Zurek-Kibble Mechanism for the Spontaneous Vortex Formation in Josephson Tunnel Junctions: New Theory and Experiment
- Topological insulators beyond the Brillouin zone via Chern parity
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Dynamical Buildup of a Quantized Hall Response from Non-Topological States
- Quenching along a gapless line: A different exponent for defect density
- Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
- Domain walls and their experimental signatures in s+is superconductors
- Topology of one dimensional quantum systems out of equilibrium
- Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench
- Kibble-Zurek universality in a strongly interacting Fermi superfluid
- Topological Entanglement-Spectrum Crossing in Quench Dynamics
- ``Cosmological'' scenario for A-B phase transition in superfluid 3He
- Composite defect extends cosmology - 3He analogy
- Persistent Hall response in a quantum quench
- Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
- Adiabatic quenches through an extended quantum critical region
- Hall Response and Edge Current Dynamics in Chern Insulators out of Equilibrium
- Global formation of topological defects in the multiferroic hexagonal manganites
- Dynamical criticality and domain-wall coupling in long-range Hamiltonians
- Universal anti-Kibble-Zurek scaling in fully-connected systems
- Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
- O(N) symmetry-breaking quantum quench: Topological defects versus quasiparticles
- Crossover from the classical to the quantum Kibble-Zurek scaling
- Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
- Defect Saturation in a Rapidly Quenched Bose Gas
- Kibble-Zurek behavior in disordered Chern insulators
- System size scaling of topological defect creation in a second-order dynamical quantum phase transition
- Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
- Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field
- Quench Dynamics Across Topological Quantum Phase Transitions
- Quench dynamics and scaling laws in topological nodal loop semimetals
- Slow quenches in two-dimensional time-reversal symmetric Z2 topological insulators
- The Kibble-Zurek Mechanism in a Topological Phase Transition
- Slow quenches in Chern insulator ribbons
- The scaling behavior of the insulator to plateau transition in topological band model
- Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions