Interaction quench and thermalization in a one-dimensional topological Kondo insulator

Abstract

We study the nonequilibrium dynamics of a one-dimensional topological Kondo insulator, modelled by a $p$-wave Anderson lattice model, following a quantum quench of the on-site interaction strength. Our goal is to examine how the quench influences the topological properties of the system, therefore our main focus is the time evolution of the string order parameter, entanglement spectrum and the topologically-protected edge states. We point out that postquench local observables can be well captured by a thermal ensemble up to a certain interaction strength. Our results demonstrate that the topological properties after the interaction quench are preserved. Though the absolute value of the string order parameter decays in time, the analysis of the entanglement spectrum, Loschmidt echo and the edge states indicates the robustness of the topological properties in the time-evolved state. These predictions could be directly tested in state-of-the-art cold-atom experiments.

arXiv comment8.5 pages, 11 figures

References in corpus (39)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Nonequilibrium dynamics of closed interacting quantum systems
• Entanglement spectrum of a topological phase in one dimension
• Quantum many-body systems out of equilibrium
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Zoo of quantum-topological phases of matter
• Time-dependent variational principle for quantum lattices
• Unifying time evolution and optimization with matrix product states
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Low-temperature surface conduction in the Kondo insulator SmB${}_6$
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• New Trends in Density Matrix Renormalization
• Detection of Symmetry Protected Topological Phases in 1D
• Entanglement Entropy dynamics in Heisenberg chains
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Robust Surface Hall Effect and Nonlocal Transport in SmB6: Indication for an Ideal Topological Insulator
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Hybridization, Inter-Ion Correlation, and Surface States in the Kondo Insulator SmB6
• Equation of state of the two-dimensional Hubbard model
• Topology of one dimensional quantum systems out of equilibrium
• End states in a 1-D topological Kondo insulator
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Out-of-equilibrium dynamics and thermalization of string order
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Destruction of string order after a quantum quench
• Haldane phase in one-dimensional topological Kondo insulators
• Characterization of a correlated topological Kondo insulator in one dimension
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Resilience of hidden order to symmetry-preserving disorder
• Topological phase transition and the effect of Hubbard interaction on the one-dimensional topological Kondo insulator
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D

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• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Understanding one-dimensional topological Kondo insulator: Poor man's non-uniform antiferromagnetic mean-field theory versus quantum Monte Carlo simulation