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Two-Dimensional Nonlinear Thouless Pumping of Matter Waves.
Fu, Qidong; Wang, Peng; Kartashov, Yaroslav V; Konotop, Vladimir V; Ye, Fangwei.
Afiliação
  • Fu Q; School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.
  • Wang P; School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.
  • Kartashov YV; Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region 108840, Russia.
  • Konotop VV; Departamento de Física and Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Ed. C8, Lisboa 1749-016, Portugal.
  • Ye F; School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.
Phys Rev Lett ; 129(18): 183901, 2022 Oct 28.
Article em En | MEDLINE | ID: mdl-36374696
ABSTRACT
We consider theoretically the nonlinear quantized Thouless pumping of a Bose-Einstein condensate loaded in two-dimensional dynamical optical lattices. We encountered three different scenarios of the pumping a quasilinear one occurring for gradually dispersing wave packets, transport carried by a single two-dimensional soliton, and a multisoliton regime when the initial wave packet splits into several solitons. The scenario to be realized depends on the number of atoms in the initial wave packet and on the strength of the two-body interactions. The magnitude and direction of the displacement of a wave packet are determined by Chern numbers of the populated energy bands and by the interband transitions induced by two-body interactions. As a case example we explore a separable potential created by optical lattices whose constitutive sublattices undergo relative motion in the orthogonal directions. For such potentials, obeying parity-time symmetry, fractional Chern numbers, computed over half period of the evolution, acquire relevance. We focus mainly on solitonic scenarios, showing that one-soliton pumping occurs at relatively small as well as at sufficiently large amplitudes of the initial wave packet, while at intermediate amplitudes the transport is multisolitonic. We also describe peculiarities of the pumping characterized by two different commensurate periods of the modulations of the lattices in the orthogonal directions.

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev Lett Ano de publicação: 2022 Tipo de documento: Article País de afiliação: China

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev Lett Ano de publicação: 2022 Tipo de documento: Article País de afiliação: China