Dynamical Equilibration of Topological Properties

Abstract

We study the dynamical process of equilibration of topological properties in quantum many-body systems undergoing a parameter quench between two topologically inequivalent Hamiltonians. This scenario is motivated by recent experiments on ultracold atomic gases, where a trivial initial state is prepared before the Hamiltonian is ramped into a topological insulator phase. While the many-body wave function must stay topologically trivial in the coherent post-quench dynamics, here we show how the topological properties of the single particle density matrix dynamically change and equilibrate in the presence of interactions. In this process, the single particle density matrix goes through a characteristic level crossing as a function of time, which plays an analogous role to the gap closing of a Hamiltonian in an equilibrium topological quantum phase transition. As an exact case study exemplifying this mechanism, we numerically solve the quench dynamics of an interacting one-dimensional topological insulator.

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Topology of density matrices
• Dissipative preparation of Chern insulators
• Adiabatic Preparation of Topological Order
• Induced self-stabilization in fractional quantum Hall states of light
• Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold atom model
• Tracing the nonequilibrium topological state of Chern insulators

Cited by in corpus (9)

• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Quench Dynamics and Hall Response of Interacting Chern Insulators
• Fock space embedding theory for strongly correlated topological phases
• Disentangling Sources of Quantum Entanglement in Quench Dynamics
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Correlation-Assisted Quantized Charge Pumping
• Scheme to Equilibrate the Quantized Hall Response of Topological Systems from Coherent Dynamics
• Dynamical signatures of symmetry protected topology following symmetry breaking