Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling

Abstract

It is shown that the single-particle spin-orbit coupling terms, which---in the cold atom context---are associated with synthetic gauge fields, can significantly and non-trivially modify the phase accumulation at small interparticle distances even if the length scale $(k_{\text{so}}{)}^{-1}$ associated with the spin-orbit coupling term is significantly larger than the van der Waals length $r_{\text{vdW}}$ that characterizes the two-body interaction potential. A theoretical framework, which utilizes a generalized local frame transformation and accounts for the phase accumulation analytically, is developed. Comparison with numerical coupled-channels calculations demonstrates that the phase accumulation can, to a very good approximation, be described over a wide range of energies by the free-space scattering phase shifts---evaluated at a scattering energy that depends on $k_{\text{so}}$---and the spin-orbit coupling strength $k_{\text{so}}$.

6 pages, 4 figures and submitted on December 15, 2016

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Degenerate Quantum Gases with Spin-Orbit Coupling
• 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
• Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies
• Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling

Cited by in corpus (3)

• Generalized local frame transformation theory for ultralong-range Rydberg molecules
• Universal scattering phase shift in the presence of spin-orbit coupling
• Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling