Induced position-dependent spin–orbit coupling in atomic Bose–Einstein condensate
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Published:2023-05-22
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ISSN:0217-9792
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Container-title:International Journal of Modern Physics B
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language:en
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Short-container-title:Int. J. Mod. Phys. B
Author:
Xu Qinzheng1,
Liu Tengyang1,
Zhang Yicai2,
Song Shuwei1ORCID
Affiliation:
1. Wang Da-Heng Center, Heilongjiang Provincial Key Laboratory of Quantum Control, Harbin University of Science and Technology, Harbin 150080, P. R. China
2. School of Physics and Materials Science, Guangzhou University, Guangzhou 510006, P. R. China
Abstract
In this paper, we study-induced spin–orbit coupling (SOC) in one-dimensional ultracold quantum gases composed of atoms of different species. One species is subjected to an equal combination of Rashba and Dresselhaus SOC generated by Raman transition. The two species interact with each other through spin-independent and spin-exchange contact interactions. The spin-exchange interaction introduces a locking pattern of the momentum and spin degrees of freedom for the species without direct SOC. For small spin-independent interactions, the two species overlap and the induced SOC is effective. For large spin-independent interactions, however, the two species keep separate from each other and the induced SOC is negligible. We propose to generate inhomogeneous SOC by exploiting density engineering technique applied to the directly spin–orbit coupled Bose–Einstein condensate. When the effective potential is of Gaussian type, the single-particle eigenenergies and eigenstates are calculated by exact diagonalization method. For general cases, mean-field ground states are obtained by numerically searching for the minimum of energy functional. With the density engineering technique, it is possible to produce hybrid structures of plane wave, stripe and/or zero-momentum phases.
Funder
Heilongjiang Provincial Natural Science Foundation of China
the fundamental Research Fundation for Universities of Heilongjiang Province
National Natural Science Foundation of China
the Joint Fund with Guangzhou Municipality
the Starting Research Fund from Guangzhou University
Young Scholars with Creative Talents in Heilongjiang Province
Publisher
World Scientific Pub Co Pte Ltd
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics