Renormalization of interactions of ultracold atoms in simulated Rashba gauge fields

Tomoki Ozawa, Gordon Baym

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

Interactions of ultracold atoms with Rashba spin-orbit coupling, currently being studied with simulated (artificial) gauge fields, have nontrivial ultraviolet and infrared behavior. Examining the ultrastructure of the Bethe-Salpeter equation, we show that the linear ultraviolet divergence in the bare interaction can be renormalized as usual in terms of low-energy scattering lengths, and that for both bosons and fermions ultraviolet logarithmic divergences are absent. Calculating the leading order effective interaction with full dependence on the spin-orbit coupling strength and the center-of-mass momentum of the colliding pair, we elucidate the relation between mean-field interactions and physical three-dimensional scattering lengths. As a consequence of infrared logarithmic divergences in the two-particle propagator, the effective interaction vanishes as the center-of-mass momentum approaches zero.

Original languageEnglish
Article number043622
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume84
Issue number4
DOIs
Publication statusPublished - 2011 Oct 13
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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