Critical temperature of a Rashba spin-orbit coupled Bose gas in harmonic traps

Abstract

We investigate theoretically Bose-Einstein condensation of an ideal, trapped Bose gas in the presence of Rashba spin-orbit coupling. Analytic results for the critical temperature and condensate fraction are derived, based on a semi-classical approximation to the single-particle energy spectrum and density of states, and are compared with exact results obtained by explicitly summing discrete energy levels for small number of particles. We find a significant decrease of the critical temperature and of the condensate fraction due to a finite spin-orbit coupling. For large coupling strength and finite number of particles $N$, the critical temperature scales as $N^{2/5}$ and $N^{2/3}$ in three and two dimensions, respectively, contrasted to the predictions of $N^{1/3}$ and $N^{1/2}$ in the absence of spin-orbit coupling. Finite size corrections in three dimensions are also discussed.

9 pages and 8 figures; published version in Physical Review A

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Spin-orbit coupled weakly interacting Bose-Einstein condensates in harmonic traps
• Trapped two-dimensional condensates with synthetic spin-orbit coupling
• Spin-orbit coupled Bose-Einstein condensates
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid

Cited by in corpus (21)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Half-quantum vortex state in a spin-orbit coupled Bose-Einstein condensate
• Meron Ground State of Rashba Spin-Orbit-Coupled Dipolar Bosons
• Fate of a Bose-Einstein Condensate in the Presence of Spin-Orbit Coupling
• Chaos-driven dynamics in spin-orbit coupled atomic gases
• Enhancement of condensate depletion due to spin-orbit coupling
• Spin-orbit-coupled Bose-Einstein-condensed atoms confined in annular potentials
• Radio-frequency spectroscopy of weakly bound molecules in spin-orbit coupled atomic Fermi gases
• Spin-Orbit Coupled Bose Gases at Finite Temperatures
• Spectral Gaps of Spin-orbit Coupled Particles in Deformed Traps
• Quantum Phase Transition of Bosons in a Shaken Optical Lattice
• Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas
• Spin-orbit coupling induced separation and hidden spin textures in spin-1 Bose-Einstein condensates
• Spin-orbit-coupled atomic Fermi gases in two-dimensional optical lattices in the presence of a Zeeman field
• Spontaneous ferromagnetism in the spinor Bose gas with Rashba spin-orbit coupling
• Weyl spin-orbit-coupling-induced interactions in uniform and trapped atomic quantum fluids
• Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
• Two-dimensional quasi-ideal Fermi gas with Rashba spin-orbit coupling
• Evidence for correlated states in a cluster of bosons with Rashba spin-orbit coupling
• Effect of spin-orbit interaction on the critical temperature of an ideal Bose gas
• Spin Hall mode in a trapped thermal Rashba gas