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arXiv · 1305.2316

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

Rytis Jursenas·Julius Ruseckas
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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.

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Rytis Jursenas, Julius Ruseckas. 2013-05-10. Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential. https://doi.org/10.1063/1.4807419

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