Quantum transport in nonlinear Rudner-Levitov models

Lei Du, Jin-Hui Wu, M. Artoni, and G. C. La Rocca
Phys. Rev. A 105, 052205 – Published 11 May 2022

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.

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  • Received 22 December 2021
  • Accepted 25 April 2022

DOI:https://doi.org/10.1103/PhysRevA.105.052205

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear DynamicsAtomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

Lei Du1, Jin-Hui Wu2, M. Artoni3,4,*, and G. C. La Rocca5,†

  • 1Beijing Computational Science Research Center, Beijing 100193, China
  • 2Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China
  • 3Department of Engineering and Information Technology and INO-CNR Sensor Lab, Brescia University, 25133 Brescia, Italy
  • 4European Laboratory for Non-linear Spectroscopy (LENS), 50019 Sesto Fiorentino, Italy
  • 5NEST, Scuola Normale Superiore, 56126 Pisa, Italy

  • *maurizio.artoni@unibs.it
  • larocca@sns.it

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Issue

Vol. 105, Iss. 5 — May 2022

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