Quantum transport in nonlinear Rudner-Levitov models

TL;DR

This paper investigates how nonlinearities affect quantum transport and topological properties in Rudner-Levitov models, revealing phenomena like a trivial-nontrivial transition and unidirectional long-range transport.

Contribution

It introduces a numerical study of nonlinear extensions of the Rudner-Levitov model, highlighting the impact of nonlinearities on quantized mean displacement and topological features.

Findings

Nonlinearities modify the quantization of mean displacement.

Observation of a trivial-nontrivial transition.

Unidirectional long-range quantum transport occurs.

Abstract

Quantum transport in a class of nonlinear extensions of the Rudner-Levitov model is numerically studied in this paper. We show that the quantization of the mean displacement, which embodies the quantum coherence and the topological characteristics of the model, is markedly modified by nonlinearities. Peculiar effects such as a "trivial-nontrivial" transition and unidirectional long-range quantum transport are observed. These phenomena can be understood on the basis of the dynamic behavior of the effective hopping terms, which are time and position dependent, containing contributions of both the linear and nonlinear couplings.d nonlinear couplings.