Prethermalization and entanglement dynamics in interacting topological pumps

TL;DR

This paper studies how interacting fermionic systems in one-dimensional topological pumps reach quasisteady states under slow driving, revealing entanglement dynamics, the impact of disorder, and emergent long timescales.

Contribution

It introduces a detailed analysis of quasisteady states and entanglement evolution in driven topological systems with interactions and disorder.

Findings

Disorder reduces current fluctuations without affecting quasisteady state lifetime.

Natural orbital occupations and entanglement entropy show periodic entangling/disentangling.

Long timescales emerge in entanglement spectrum related to many-particle correlation equilibration.

Abstract

We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous single-particle band gap throughout the driving cycle. The system rapidly absorbs energy from the driving field, and approaches a quasisteady state that locally resembles a maximal entropy state subject to the constraint of fixed particle number in each of the system's single-particle Floquet bands. We explore the nature of this quasisteady state through one-body observables including the pumped current and natural orbital occupations, as well as the (many-body) entanglement spectrum and entropy. Potential disorder significantly reduces the amplitude of fluctuations of the quasisteady state current around its universal value, while the lifetime of the quasisteady state remains nearly unaffected for disorder strengths up to the scale of the single-particle band gap. Interestingly, the natural orbital occupations and entanglement entropy display patterns signifying the periodic entangling and disentangling of the system's degrees of freedom over each driving cycle. Moreover, prominent features in the system's time-dependent entanglement spectrum reveal the emergence of new long timescales associated with the equilibration of many-particle correlations.