Bound states of spinorbit coupled cold atoms in a Dirac deltafunction potential
Abstract
Dirac deltafunction potential is widely studied in quantum mechanics because it usually can be exactly solved and at the same time is useful in modeling various physical systems. Here we study a system of deltapotential trapped spinorbit coupled cold atoms. The spinorbit coupled atomic matter wave has two kinds of evanescent modes, one of which has a pure imaginary wavevector and is an ordinary evanescent wave; while the other with a complex number wave vector is recognized as an oscillating evanescent wave. We identified the eigenenergy spectra and the existence of bound states in this system. The bound states can be constructed analytically using the two kinds of evanescent modes and we found that they exhibit typical features of stripe phase, separated phase or zeromomentum phase. In addition to that, the properties of semibound states are also discussed, which is a localized wave packet on a plane wave background.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 June 2020
 DOI:
 10.1088/13616455/ab82e1
 arXiv:
 arXiv:2005.14604
 Bibcode:
 2020JPhB...53l5301Q
 Keywords:

 spinorbit coupling;
 cold atoms;
 deltafunction potential;
 Condensed Matter  Quantum Gases
 EPrint:
 J. Phys. B: At. Mol. Opt. Phys. 53 125301 (2020)