Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance

Abstract

The synthetic spin-orbit coupled quantum gases is widely studied both experimentally and theoretically in recent years. As previous studies show, this modification of single-body dispersion will in general couple different partial waves and thus distort the wave-function of bound states which determines the short-distance behavior of many-body wave function. In this work, we focus on the two-component Fermi gas with one-dimensional or three-dimensional spin-orbit coupling near an s-wave resonance. Using the method of effective field theory and the operator product expansion, we derive universal relations for both systems, and obtain the momentum distribution matrix $⟨{\psi }_a^{†}(\mathbf{q}){\psi }_b(\mathbf{q})⟩$ at large $\mathbf{q}$ ($a,b$ are spin index), which shows anisotropic features. We also discuss the experimental implication of these results depending on the realization of the spin-orbit coupling.

6 pages, 1 figure

References in corpus (16)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Two and Three-body Contacts in the Unitary Bose Gas
• Modified Bethe-Peierls boundary condition for ultracold atoms 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
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Contact theory for spin-orbit-coupled Fermi gases
• Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies
• Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm

Cited by in corpus (8)

• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Universal scattering phase shift in the presence of spin-orbit coupling
• Universal Relations in Long-range Quantum Spin Chains