Finite Temperature Phases of Two Dimensional Spin-Orbit Coupled Bosons

Abstract

We determine the finite temperature phase diagram of two dimensional bosons with two hyperfine (pseudo-spin) states coupled via Rashba-Dresselhaus spin-orbit interaction using classical field Monte Carlo calculations. For anisotropic spin-orbit coupling, we find a transition to a Berenzinskii-Kosterlitz-Thouless superfluid phase with quasi-long range order. We show that the spin-order of the quasi-condensate is driven by the anisotropy of interparticle interaction, favoring either a homogeneous plane wave state or stripe phase with broken translational symmetry. Both phases show characteristic behavior in the algebraically decaying spin density correlation function. For fully isotropic interparticle interaction, our calculations indicate a fractionalized quasi-condensate where the mean-field degeneracy of plane wave and stripe phase remains robust against critical fluctuations. In the case of fully isotropic spin-orbit coupling, the circular degeneracy of the single particle ground state destroys the algebraic ordered phase in the thermodynamic limit, but a cross-over remains for finite size systems.

4 pages, 4 figures

References in corpus (12)

• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Fragmentation of Bose-Einstein Condensates
• Tunable Spin-Orbit Coupling via Strong Driving in Ultracold Atom Systems
• Stability of ultracold atomic Bose condensates with Rashba spin-orbit coupling against quantum and thermal fluctuations
• Superfluid Density of a Spin-orbit Coupled Bose Gas
• Diffused vorticity and moment of inertia of a spin-orbit coupled Bose-Einstein condensate
• Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling
• Condensation transition of ultracold Bose gases with Rashba spin-orbit coupling
• A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions

Cited by in corpus (12)

• Metallic state in bosonic systems with continuously degenerate minima
• Thermodynamics of spin-orbit coupled bosons in two dimensions from complex Langevin
• Collective excitations in cigar-shaped spin-orbit coupled spin-1 Bose-Einstein condensates
• Quantum and thermal fluctuations in a Raman spin-orbit coupled Bose gas
• Emergence of a spin microemulsion in spin-orbit coupled Bose-Einstein condensates
• Bosonic Double Ring Lattice Under Artificial Gauge Fields
• Spin-orbit coupled bosons interacting in a two-dimensional harmonic trap
• Nonclassical states in strongly correlated bosonic ring ladders
• Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate
• Spatial order in a two-dimensional spin-orbit-coupled spin-1/2 condensate: superlattice, multi-ring and stripe formation
• Spin-orbit coupled mean-field Bose gas at finite temperature
• Thermal Casimir effect in the spin-orbit coupled Bose gas