Vortex-lattice formation in a spin-orbit coupled rotating spin-1 condensate

Author(s)

Adhikari, S. K. ^[1]

Affiliation

^[1] Univ Estadual Paulista UNESP, Inst Fis Teor, BR-01140070 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: JOURNAL OF PHYSICS-CONDENSED MATTER; v. 33, n. 6 FEB 10 2021.
• Web of Science Citations: 0

Abstract

We study the vortex-lattice formation in a rotating Rashba spin-orbit (SO) coupled quasi-two-dimensional (quasi-2D) hyper-fine spin-1 spinor Bose-Einstein condensate (BEC) in the x-y plane using a numerical solution of the underlying mean-field Gross-Pitaevskii equation. In this case, the non-rotating Rashba SO-coupled spinor BEC can have topological excitation in the form of vortices of different angular momenta in the three components, e.g. the (0, +1, +2)- and (-1, 0, +1)-type states in ferromagnetic and anti-ferromagnetic spinor BEC: the numbers in the parenthesis denote the intrinsic angular momentum of the vortex states of the three components with the negative sign denoting an anti-vortex. The presence of these states with intrinsic vorticity breaks the symmetry between rotation with vorticity along the z and -z axes and thus generates a rich variety of vortex-lattice and anti-vortex-lattice states in a rotating quasi-2D spin-1 spinor ferromagnetic and anti-ferromagnetic BEC, not possible in a scalar BEC. For weak SO coupling, we find two types of symmetries of these states - hexagonal and `square'. The hexagonal (square) symmetry state has vortices arranged in closed concentric orbits with a maximum of 6, 12, 18 horizontal ellipsis (8, 12, 16 horizontal ellipsis ) vortices in successive orbits. Of these two symmetries, the square vortex-lattice state is found to have the smaller energy. (AU)

• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects