Formation of Feshbach molecules in the presence of artificial spin-orbit coupling and Zeeman fields

Abstract

We derive general conditions for the emergence of singlet Feshbach molecules in the presence of artificial Zeeman fields for arbritary mixtures of Rashba and Dresselhaus spin-orbit orbit coupling in two or three dimensions. We focus on the formation of two-particle bound states resulting from interactions between ultra-cold spin-1/2 fermions, under the assumption that interactions are short-ranged and occur only in the s-wave channel. In this case, we calculate explicitly binding energies of Feshbach molecules and analyze their dependence on spin-orbit couplings, Zeeman fields, interactions and center of mass momentum, paying particular attention to the experimentally relevant case of spin-orbit couplings with equal Rashba and Dresselhaus (ERD) amplitudes.

5 pages, 4 figures - see also the simultaneously submitted experimental paper by the NIST group

References in corpus (5)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Spin-Orbit Coupling Induced Coherent Production of Feshbach Molecules in a Degenerate Fermi Gas
• Condensation transition of ultracold Bose gases with Rashba spin-orbit coupling

Cited by in corpus (7)

• Dissipation-facilitated molecules in a Fermi gas with non-Hermitian spin-orbit coupling
• Center-of-mass-momentum-dependent interaction between ultracold atoms
• Center of Mass Momentum Dependent Interaction Between Ultracold Atoms
• Tuning Feshbach resonance in cold atomic gases with inter-channel coupling
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
• Superfluid transition temperature and fluctuation theory of spin-orbit and Rabi-coupled fermions with tunable interactions
• Dependency of quantum time scales on symmetry