Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-07-15
Phys. Rev. A 84, 043622 (2011)
Physics
Condensed Matter
Quantum Gases
4 pages, 2 figures, published version
Scientific paper
10.1103/PhysRevA.84.043622
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 ultraviolet structure 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.
Baym Gordon
Ozawa Tomoki
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