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

2014/12/31 by Cory D. Schillaci, Thomas Luu, Thomas C. Luu
Physics and Astronomy · #Angular momentum #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Eigenvalues and eigenvectors #Fermion #Harmonic #Isotropy #Materials science #Momentum (technical analysis) #Orbit (dynamics) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectral line #Spin (aerodynamics) #Spin–orbit interaction #Total angular momentum quantum number #cond-mat.quant-gas #nucl-th

paper · pdf · doi:10.1103/physreva.91.043606

published as Phys. Rev. A 91, 043606 (2015) · 12 pages, 9 figures

arxiv created 2015/04/07 · openalex publication_date 2015/04/07 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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, nonperturbative 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.

Citations