Quantum transport in nonlinear Rudner-Levitov models

Year: 2022

Authors: Du L., Wu J.-H., Artoni M., La Rocca G.C.

Autors Affiliation: Beijing Computational Science Research Center, Beijing, 100193, China; Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China; Department of Engineering and Information Technology and INO-CNR Sensor Lab, Brescia University, Brescia, 25133, Italy; European Laboratory for Non-linear Spectroscopy (LENS), Sesto Fiorentino, 50019, Italy; NEST, Scuola Normale Superiore, Pisa, 56126, Italy

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.


Volume: 105 (5)      Pages from: 052205-1  to: 052205-8

More Information: This work is supported by the National Natural Science Foundation of China (Grants No. U1930402 and No. 12074061), the Cooperative Program by the Italian Ministry of Foreign Affairs and International Cooperation (MAECI) through the Italy-China International Cooperation (Grant No. PGR00960), and the Italian Research Council (CNR) Joint Laboratories program, Project No. SAC.AD002.026 (OMEN).
KeyWords: quantum transport
DOI: 10.1103/PhysRevA.105.052205