Abstract
The confinement induced resonance provides an indispensable tool for the realization of the low-dimensional strongly interacting quantum system. Here, 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 through increasing Raman coupling strength in experiments.
Highlights
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
We find that the quasi-bound levels induced by the spin-orbit coupling and Raman coupling result in the Feshbach-type resonances
The two-body scattering in the presence of spin-orbit coupling and Raman coupling
Summary
The confinement induced resonance provides an indispensable tool for the realization of the low-dimensional strongly interacting quantum system. For example, topological superfluidity, Majorana edge states or non-Abelian anyons could emerge in the low-dimension spin-orbit coupled quantum gas with Zeeman field[33,34,35]. An effective Zeeman field in spin-orbit coupled atomic gas can be produced by two-photon Raman coupling[36,37,38,39,40,41]. The confinement induced resonance provides the indispensable tool for the realization of the low-dimensional strongly interacting quantum gas.
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