Stability of ultracold atomic Bose condensates with Rashba spin-orbit coupling against quantum and thermal fluctuations

Abstract

We study the stability of Bose condensates with Rashba-Dresselhaus spin-orbit coupling in three dimensions against quantum and thermal fluctuations. The ground state depletion of the plane-wave condensate due to quantum fluctuations is, as we show, finite, and therefore the condensate is stable. We also calculate the corresponding shift of the ground state energy. Although the system cannot condense in the absence of interparticle interactions, we show by estimating the number of excited particles that interactions stabilize the condensate even at non-zero temperature. Unlike in the usual Bose gas, the normal phase is not kinematically forbidden at any temperature; calculating the free energy of the normal phase at finite temperature, and comparing with the free energy of the condensed state, we infer that generally the system is condensed at zero temperature, and undergoes a transition to normal at non-zero temperature.

4 pages, 2 figures

References in corpus (5)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Spin-orbit coupled Bose-Einstein condensates
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Generalized Rashba spin-orbit coupling for cold atoms
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions

Cited by in corpus (6)

• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Composite fermion state of spin-orbit coupled bosons
• Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas
• Condensation transition of ultracold Bose gases with Rashba spin-orbit coupling
• Ground State Properties of Spin-Orbit Coupled Bose Gases for Arbitrary Interactions