Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential

Abstract

We solve the bound state problem for the Hamiltonian with the spin-orbit and the Raman coupling included. The Hamiltonian is perturbed by a one-dimensional short-range potential V which describes the impurity scattering. In addition to the bound states obtained by considering weak solutions through the Fourier transform or by solving the eigenvalue equation on a suitable domain directly, it is shown that ordinary point-interaction representations of V lead to spin-orbit induced extra states.

4 figures, 1 table

References in corpus (4)

• Spin-orbit coupling in quantum gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Generalized Rashba spin-orbit coupling for cold atoms
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field

Cited by in corpus (2)

• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Spectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation