Renormalization of interactions of ultracold atoms in simulated Rashba gauge fields
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.
- Publication:
-
Physical Review A
- Pub Date:
- October 2011
- DOI:
- 10.1103/PhysRevA.84.043622
- arXiv:
- arXiv:1107.3162
- Bibcode:
- 2011PhRvA..84d3622O
- Keywords:
-
- 03.75.-b;
- 03.75.Ss;
- 03.75.Nt;
- Matter waves;
- Degenerate Fermi gases;
- Other Bose-Einstein condensation phenomena;
- Condensed Matter - Quantum Gases
- E-Print:
- 4 pages, 2 figures, published version