Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems

Details Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems

2011-07-04

arxiv.org/abs/1107.0578v1

Physics

Condensed Matter

Quantum Gases

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.107.195302

Motivated by recent experiments [Lin {\it et al.}, Nature {\bf 417}, 83 (2011)] that engineered spin-orbit coupling in ultra-cold mixtures of bosonic atoms, we study the dipole oscillation of trapped spin-orbit-coupled non-condensed Bose and Fermi gases. We find that different directions of oscillation are coupled by the spin-orbit interactions. The phase difference between oscillatory motion in orthogonal directions and the trapping frequencies of the modes are shown to be related to the anomalous Hall conductivity. Our results can be used to experimentally determine the anomalous Hall conductivity for cold-atom systems.

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