Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential
Mathematical Physics
2015-06-15 v1 Quantum Gases
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1305.2316,
title = {Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential},
author = {Rytis Jursenas and Julius Ruseckas},
journal= {arXiv preprint arXiv:1305.2316},
year = {2015}
}
Comments
4 figures, 1 table