https://doi.org/10.1140/epjp/i2019-12422-8
Regular Article
Ring phases of spin-orbit coupled Bose-Einstein condensate in the radial optical lattices
1
Department of Mathematics and Physics, Shijiazhuang TieDao University, 050043, Shijiazhuang, China
2
Institute of Applied Physics, Shijiazhuang TieDao University, 050043, Shijiazhuang, China
3
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
4
Department of Physics, Beijing Normal University, 100875, Beijing, China
* e-mail: wangjiguo@stdu.edu.cn
Received:
21
September
2018
Accepted:
22
November
2018
Published online:
17
January
2019
We study the ground-state phases of two-dimensional spin-orbit coupled Bose-Einstein condensate loaded in the spin-dependent radial optical lattices. For strong depth of the spin-dependent radial optical lattice, three new types of the ring phases are found with isotropic spin-orbit coupling, i.e., the ring-stripe phase with the periodic density modulation along the radial direction, the ring-supersolid phase with the periodic density modulation both the radial and azimuthal directions and the windmill-supersolid phase with four vanes along the azimuthal direction. By increasing spin-orbit coupling, the system undergoes a sequence phase transitions from the ring-stripe phase to the ring-sueprsolid phase, and to the windmill-supersolid phase for the weak depth of radial optical lattice, however, the ring-stripe phase transforms to the windmill-supersolid phase directly for the strong depth of radial optical lattice. We also discuss the ground-state phases with anisotropic spin-orbit coupling, two-component Bose-Einstein condensates are easier condensed along the direction with larger spin-orbit coupling.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019