Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap

Abstract

We explore the two-body spectra of spin-$1/2$ fermions in isotropic harmonic traps with external spin-orbit potentials and short range two-body interactions. Using a truncated basis of total angular momentum eigenstates, non-perturbative results are presented for experimentally realistic forms of the spin-orbit coupling: a pure Rashba coupling, Rashba and Dresselhaus couplings in equal parts, and a Weyl-type coupling. The technique is easily adapted to bosonic systems and other forms of spin-orbit coupling.

12 pages, 9 figures

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Cited by in corpus (4)

• Spin-orbit coupling in the presence of strong atomic correlations
• Spin Hall mode in a trapped thermal Rashba gas
• Determinant- and Derivative-Free Quantum Monte Carlo Within the Stochastic Representation of Wavefunctions
• Enhanced strong interaction effect in synthetic spin-orbit coupling with mixed spin symmetry