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arXiv · 1208.5976

Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling

Peng Zhang·Long Zhang·Youjin Deng
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Abstract

We show that the Bethe-Peierls (BP) boundary condition should be modified for ultracold atoms with spin-orbit (SO) coupling. Moreover, we derive a general form of the modified BP boundary condition, which is applicable to a system with arbitrary kind of SO coupling. In the modified BP condition, an anisotropic term appears and the inter-atomic scattering length is normally SO-coupling dependent. For the special system in the current experiments, however, it can be proved that the scattering length is SO-coupling independent, and takes the same value as in the case without SO coupling. Our result is helpful for the study of both few-body and many-body physics in SO-coupled ultracold gases.

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Peng Zhang, Long Zhang, Youjin Deng. 2012-08-29. Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling. https://doi.org/10.1103/physreva.86.053608

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