Quantum transport in nonlinear Rudner-Levitov models

Year: 2022

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

Autors Affiliation: Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China; Northeast Normal Univ, Ctr Quantum Sci, Changchun 130024, Peoples R China; Northeast Normal Univ, Sch Phys, Changchun 130024, Peoples R China; Brescia Univ, Dept Engn & Informat Technol, I-25133 Brescia, Italy; Brescia Univ, INO CNR Sensor Lab, I-25133 Brescia, Italy; European Lab Nonlinear Spect LENS, I-50019 Sesto Fiorentino, Italy; NEST, Scuola Normale Super, I-56126 Pisa, 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.

Journal/Review: PHYSICAL REVIEW A

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

Citations: 2
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