Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling

Abstract

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive the expression for the second order virial expansion of the thermodynamic potential via the ladder diagrams. We further evaluate the second order virial expansion in the limit that the spin-orbit coupling constants are small, and find that the correlation strength between the fermions increases as the forth power of the spin-orbit coupling constants. At zero temperature, we consider the cases in which there are symmetric spin-orbit couplings in two or three directions. In such cases, there is always a two-body bound state of zero net momentum. In the limit that the average interparticle distance is much larger than the dimension of the two-body bound state, the system primarily consists of condensed bosonic molecules that fermions pair to form; we find that the correlation strength also becomes bigger compared to that in the absence of spin-orbit coupling. Our results indicate that generic spin-orbit coupling enhances the short-range correlations of the Fermi gases. Measurement of such enhancement by photoassociation experiment is also discussed.

7 pages, 4 figures

References in corpus (7)

• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Short-range correlations and entropy in ultracold atomic Fermi gases

Cited by in corpus (5)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study
• Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling
• Exact results relating spin-orbit interactions in two dimensional strongly correlated systems
• Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling