Phase diagrams and Thomas-Fermi estimates for spin-orbit coupled Bose-Einstein Condensates under rotation

Abstract

We provide complete phase diagrams describing the ground state of a trapped spinor BEC under the combined effects of rotation and a Rashba spin-orbit coupling. The interplay between the different parameters (magnitude of rotation, strength of the spin-orbit coupling and interaction) leads to a rich ground state physics that we classify. We explain some features analytically in the Thomas-Fermi approximation, writing the problem in terms of the total density, total phase and spin. In particular, we analyze the giant skyrmion, and find that it is of degree 1 in the strong segregation case. In some regions of the phase diagrams, we relate the patterns to a ferromagnetic energy.

Accepted for publication in Phys. Rev. A

References in corpus (16)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Spin-orbit coupled Bose-Einstein condensates
• Bright solitons in spin-orbit-coupled Bose-Einstein condensates
• Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
• Half-quantum vortex state in a spin-orbit coupled Bose-Einstein condensate
• Generalized Rashba spin-orbit coupling for cold atoms
• Emergent patterns in a spin-orbit coupled spin-2 Bose-Einstein condensate
• Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates
• Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates
• Crystallized merons and inverted merons in the condensation of spin-1 Bose gases with spin-orbit coupling
• Spin-orbit coupling induced fractionalized Skyrmion excitations in rotating and rapidly quenched spin-1 Bose-Einstein condensates
• Interaction Induced Hall Response in a Spin-Orbit Coupled Bose-Einstein Condensate
• Stationary States of Trapped Spin-Orbit-Coupled Bose-Einstein Condensates
• Emergence of Chiral Magnetism in Spinor Bose-Einstein Condensate with Rashba Coupling
• Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling
• Landau levels of cold atoms in non-Abelian gauge fields

Cited by in corpus (26)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Vortex dynamics in spin-orbit coupled Bose-Einstein condensates
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Spin-orbit-coupled Bose-Einstein condensates held under toroidal trap
• Vortex states and spin textures of rotating spin-orbit-coupled Bose-Einstein condensates in a toroidal trap
• Analytic models for density of a ground-state spinor condensate
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Spin-orbit-coupled Bose-Einstein-condensed atoms confined in annular potentials
• Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
• Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
• Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates
• Number-conserving approaches to $n$-component Bose-Einstein condensates
• Dynamics of rotating spin-orbit-coupled Bose-Einstein condensates in a quasicrystalline optical lattice
• Ground-state properties of spin-orbit-coupled dipolar Bose-Einstein condensates with in-plane gradient magnetic field
• Topological defects of spin-orbit coupled Bose-Einstein condensates in a rotating anharmonic trap
• The in-plane gradient magnetic field induced vortex lattices in spin-orbit coupled Bose-Einstein condensations
• Ground states of dipolar spin-orbit-coupled Bose-Einstein condensates in a toroidal trap
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Ground-state properties of dipolar Bose-Einstein condensates with spin-orbit coupling and quantum fluctuations
• Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate
• Wigner-localized states in spin-orbit-coupled bosonic ultracold atoms with dipolar interaction
• Vortex Lattice Formation in Spin-Orbit-Coupled Spin-2 Bose-Einstein Condensate Under Rotation
• One dimensional phase transition problem modelling striped spin orbit coupled Bose-Einstein condensates
• Chiral supersolid and dissipative time crystal in Rydberg-dressed Bose-Einstein condensates with Raman-induced spin-orbit coupling