Mean-field Dynamics of Spin-Orbit Coupled Bose-Einstein Condensates

Details Mean-field Dynamics of Spin-Orbit Coupled Bose-Einstein Condensates Mean-field Dynamics of Spin-Orbit Coupled Bose-Einstein Condensates

2011-02-20

arxiv.org/abs/1102.4045v3

Phys. Rev. Lett.108, 035302 (2012)

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.108.035302

Spin-orbit coupling (SOC), the interaction between the spin and momentum of a quantum particle, is crucial for many important condensed matter phenomena. The recent experimental realization of SOC in neutral bosonic cold atoms provides a new and ideal platform for investigating spin-orbit coupled quantum many-body physics. In this Letter, we derive a generic Gross-Pitaevskii equation as the starting point for the study of many-body dynamics in spin-orbit coupled Bose-Einstein condensates. We show that different laser setups for realizing the same SOC may lead to different mean field dynamics. Various ground state phases (stripe, phase separation, etc.) of the condensate are found in different parameter regions. A new oscillation period induced by the SOC, similar to the Zitterbewegung oscillation, is found in the center of mass motion of the condensate.

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