Interaction Induced Hall Response in a Spin-Orbit Coupled Bose-Einstein Condensate

Details Interaction Induced Hall Response in a Spin-Orbit Coupled Bose-Einstein Condensate Interaction Induced Hall Response in a Spin-Orbit Coupled Bose-Einstein Condensate

2012-04-23

arxiv.org/abs/1204.5121v1

Physics

Condensed Matter

Quantum Gases

5 pages and 3 figures

Scientific paper

In this letter we consider the dynamic behaviors of spin-orbit coupled Bose condensates realized in recent experiments. We show that there exists an interaction induced ac Hall response which is absent in a non-interacting system. This condensate has two distinct equilibrium phases known as the plane wave phase and the stripe phase. In the plane wave phase, we show that an ac longitudinal current will induce an ac radial current in the transverse direction, and vice versa, as a cooperation effect of spin-velocity locking and spin-dependent interaction. In the stripe phase, we show that the dominant longitudinal response to a transverse radial current is sliding of the density stripe, because it is the low-lying excitation mode originated from spontaneous spatial translational symmetry breaking in this phase.

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