Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas

Abstract

Using a sum rule approach we investigate the dipole oscillation of a spin-orbit coupled Bose-Einstein condensate confined in a harmonic trap. The crucial role played by the spin polarizability of the gas is pointed out. We show that the lowest dipole frequency exhibits a characteristic jump at the transition between the stripe and spin-polarized phase. Near the second order transition between the spin-polarized and the single minimum phase the lowest frequency is vanishingly small for large condensates, reflecting the divergent behavior of the spin polarizability. We compare our results with recent experimental measurements as well as with the predictions of effective mass approximation.

5 pages, 2 figures

References in corpus (9)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Spin-orbit coupled Bose-Einstein condensates
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Cited by in corpus (10)

• Bright solitons in spin-orbit-coupled Bose-Einstein condensates
• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Collapse of spin-orbit coupled Bose-Einstein condensates
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Ground State Properties of Spin-Orbit Coupled Bose Gases for Arbitrary Interactions
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Dynamics of a macroscopic spin qubit in spin-orbit coupled Bose-Einstein condensates
• Topological Condensate in an Interaction Induced Gauge Potential
• Edge binding of sine-Gordon solitons in spin-orbit coupled Bose-Einstein condensates
• Nonadiabatic multichannel dynamics of a spin-orbit coupled condensate