Contact theory for spin-orbit-coupled Fermi gases

Abstract

We develop the contact theory for spin-orbit-coupled Fermi gases. By using a perturbation method, we derive analytically the universal two-body behavior at short distance, which does not depend on the short-range details of interatomic potentials. We find that two new scattering parameters need to be introduced because of spin-orbit coupling, besides the traditional $s$- and $p$-wave scattering length (volume) and effective ranges. This is a general and unique feature for spin-orbit-coupled systems. Consequently, two new adiabatic energy relations with respect to the new scattering parameters are obtained, in which a new contact is involved because of spin-orbit coupling. In addition, we derive the asymptotic behavior of the large-momentum distribution, and find that the subleading tail is corrected by the new contact. This work paves the way for exploring the profound properties of spin-orbit-coupled many-body systems, according to two-body solutions.

5 pages

References in corpus (8)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Two and Three-body Contacts in the Unitary Bose Gas
• Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
• Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study

Cited by in corpus (12)

• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Spin-orbital-angular-momentum-coupled quantum gases
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Dynamic virial theorem at nonequilibrium and applications
• Universal scattering phase shift in the presence of spin-orbit coupling
• Universal Relations in Long-range Quantum Spin Chains