Emergence of topological states in relaxation dynamics of interacting bosons

Abstract

Topological concepts have been employed to understand the ground states of many strongly correlated systems, but it is still quite unclear if and how topology manifests itself in the relaxation dynamics. Here we uncover emergent topological phenomena in the time evolution of far-from-equilibrium one-dimensional interacting bosons. Beginning with simple product states, the system evolves into long-time stationary states with high energy that are nonthermal for a wide range of parameters, and they exhibit nonlocal string correlation that is characteristic of the symmetry-protected topological ground state of the Hamiltonian. In contrast, no topological feature is found in the stationary state as long as the system thermalizes. This difference is further corroborated by the distinct behaviour of quantum entanglement and edge states of the system. Our theoretical prediction can be examined by current experimental techniques and paves the way for a more comprehensive understanding of topological phases in nonequilibrium settings.

7 pages, 4 figures, with supplymentary information. This paper has been accepted for publication in Physical Review Letters

References in corpus (27)

• Thermalization and its mechanism for generic isolated quantum systems
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• The ITensor Software Library for Tensor Network Calculations
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Breakdown of thermalization in finite one-dimensional systems
• Interaction Quench in the Hubbard model
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Finite-temperature transport in one-dimensional quantum lattice models
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Generalized Thermalization in an Integrable Lattice System
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Hidden order in 1D Bose insulators
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Rise and fall of hidden string order of lattice bosons
• Thermalization dynamics of a gauge theory on a quantum simulator
• Quantum Gases in Optical Boxes
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Probing site-resolved correlations in a spin system of ultracold molecules
• Tunable itinerant spin dynamics with polar molecules
• Spectral and Entanglement Properties of the Bosonic Haldane Insulator
• Observation of Universal Hall Response in Strongly Interacting Fermions
• Interrelated Thermalization and Quantum Criticality in a Lattice Gauge Simulator
• Interactions enable Thouless pumping in a nonsliding lattice
• Signatures of topology in quantum quench dynamics and their interrelation
• Interacting Symmetry-Protected Topological Phases Out of Equilibrium
• Observation of a finite-energy phase transition in a one-dimensional quantum simulator