Quench Dynamics of Topological Maximally-Entangled States

Abstract

We investigate the quench dynamics of the one-particle entanglement spectra (OPES) for systems with topologically nontrivial phases. By using dimerized chains as an example, it is demonstrated that the evolution of OPES for the quenched bi-partite systems is governed by an effective Hamiltonian which is characterized by a pseudo spin in a time-dependent pseudo magnetic field $\vec{S}(k,t)$. The existence and evolution of the topological maximally-entangled edge states are determined by the winding number of $\vec{S}(k,t)$ in the $k$-space. In particular, the maximally-entangled edge states survive only if nontrivial Berry phases are induced by the winding of $\vec{S}(k,t)$. In the infinite time limit the equilibrium OPES can be determined by an effective time-independent pseudo magnetic field $\vec{S}_{\mb{eff}}(k)$. Furthermore, when maximally-entangled edge states are unstable, they are destroyed by quasiparticles within a characteristic timescale in proportional to the system size.

5 pages, 3 figures

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• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• Breakdown of local convertibility through Majorana modes in a quantum quench
• Relaxation of the entanglement spectrum in quench dynamics of topological systems
• Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space