Renormalization of interactions of ultracold atoms in simulated Rashba gauge fields

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.043622· OSTI ID:22095413

Ozawa, Tomoki ^[1]; Baym, Gordon ^[1]

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1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801 (United States)

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.

• OSTI ID: 22095413
• Journal Information: Physical Review. A, Vol. 84, Issue 4; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
BETHE-SALPETER EQUATION
BOSONS
CENTER-OF-MASS SYSTEM
COMPUTERIZED SIMULATION
FERMIONS
INTERACTIONS
L-S COUPLING
MEAN-FIELD THEORY
PROPAGATOR
RENORMALIZATION
SCATTERING LENGTHS
THREE-DIMENSIONAL CALCULATIONS
ULTRAVIOLET DIVERGENCES
ULTRAVIOLET RADIATION