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 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.

4 pages, 2 figures, published version

References in corpus (7)

• A spin-orbit coupled Bose-Einstein condensate
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Spin-orbit coupled Bose-Einstein condensates
• Generalized Rashba spin-orbit coupling for cold atoms
• How does a synthetic non-Abelian gauge field influence the bound states of two spin-$\half$ fermions?
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Bose-Einstein Condensation in the presence of an artificial spin-orbit interaction

Cited by in corpus (29)

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• Spin-Orbit Coupled Quantum Gases
• A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
• Stability of ultracold atomic Bose condensates with Rashba spin-orbit coupling against quantum and thermal fluctuations
• Order by Disorder in Spin-Orbit Coupled Bose-Einstein Condensates
• Rashba spin-orbit coupled atomic Fermi gases
• Ground-state phases of ultracold bosons with Rashba-Dresselhaus spin-orbit coupling
• Universal phase structure of dilute Bose gases with Rashba spin-orbit coupling
• Fate of a Bose-Einstein Condensate in the Presence of Spin-Orbit Coupling
• Enhancement of condensate depletion due to spin-orbit coupling
• Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
• Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling
• Condensation transition of ultracold Bose gases with Rashba spin-orbit coupling
• Scattering and effective interactions of ultracold atoms with spin-orbit coupling
• Stability of Excited Dressed States with Spin-Orbit Coupling
• Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
• Thermodynamics of spin-orbit coupled bosons in two dimensions from complex Langevin
• Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
• Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Validity of single-channel model for a spin-orbit coupled atomic Fermi gas near Feshbach resonances
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
• Spontaneous ferromagnetism in the spinor Bose gas with Rashba spin-orbit coupling
• Single-branch theory of ultracold Fermi gases with artificial Rashba spin-orbit coupling
• Spectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation
• Wigner-localized states in spin-orbit-coupled bosonic ultracold atoms with dipolar interaction
• Non-Galilean response of Rashba coupled Fermi gases
• Chiral vortex-line liquid of three-dimensional interacting Bose systems with moat dispersion
• Ground-state properties of dilute Bose systems with synthetic dispersion laws