Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates

Abstract

We develop a symmetry classification scheme to find ground states of pseudo spin-1/2, spin-1, and spin-2 spin-orbit coupled spinor Bose-Einstein condensates, and show that as the SO(2) symmetry of simultaneous spin and space rotations is broken into discrete cyclic groups, various types of lattice structures emerge in the absence of a lattice potential, examples include two different kagaome lattices for pseudo spin-1/2 condensates and a nematic vortex lattice in which uniaxial and biaxial spin textures align alternatively for spin-2 condensates. For the pseudo spin-1/2 system, although mean-field states always break time-reversal symmetry, there exists a time-reversal invariant many-body ground state, which is fragmented and expected to be observed in a micro-condensate.

9+ pages, 4 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Fragmentation of Bose-Einstein Condensates
• Spin-orbit coupled Bose-Einstein condensates
• Generalized Rashba spin-orbit coupling for cold atoms
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Emergent patterns in a spin-orbit coupled spin-2 Bose-Einstein condensate
• Inert states of spin-S systems
• Symmetry and inert states of spin Bose Condensates

Cited by in corpus (16)

• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Stationary States of Trapped Spin-Orbit-Coupled Bose-Einstein Condensates
• Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Condensation transition of ultracold Bose gases with Rashba spin-orbit coupling
• Twisted spin vortices in a spinor-dipolar Bose-Einstein condensate with Rashba spin-orbit coupling
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Ring model for trapped condensates with synthetic spin-orbit coupling
• Real space mean-field theory of a spin-1 Bose gas in synthetic dimensions
• Supersolid-like solitons in spin-orbit coupled spin-2 condensate
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Vortex Lattice Formation in Spin-Orbit-Coupled Spin-2 Bose-Einstein Condensate Under Rotation
• Bose-Einstein condensates in the presence of Weyl spin-orbit coupling