The confinement induced resonance in spin-orbit coupled cold atoms with Raman coupling

TL;DR

This paper explores how spin-orbit and Raman couplings influence confinement-induced resonances in cold atoms, revealing conditions for bound states and proposing experimental methods to control these resonances.

Contribution

It demonstrates the impact of Raman coupling on the position of confinement-induced resonances and proposes a way to realize these resonances by tuning Raman coupling strength.

Findings

Raman coupling shifts the resonance position significantly.

Bound states depend on the strength of attractive interactions.

Resonances can be controlled by adjusting the Raman coupling in experiments.

Abstract

We investigate the confinement induced resonance in spin-orbit coupled cold atoms with Raman coupling. We find that the quasi-bound levels induced by the spin-orbit coupling and Raman coupling result in the Feshbach-type resonances. For sufficiently large Raman coupling, the bound states in one dimension exist only for sufficiently strong attractive interaction. Furthermore, the bound states in quasi-one dimension exist only for sufficient large ratio of the length scale of confinement to three dimensional s-wave scattering length. The Raman coupling substantially changes the confinement-induced resonance position. We give a proposal to realize confinement induced resonance by increasing the Raman coupling strength in experiments.