Propagators for Hamiltonians with Spin-Orbit Coupling

A. Tarantelli, Lorenz S. Cederbaum

M. Moshińsky, Emerson Sadurní

In the present paper we compute the propagator of a quantum mechanical system whose Hamiltonian consists of two commuting terms, the spin–orbit coupling being one of them. We assume that the propagator corresponding to the first part can be cast into a closed form. A detailed treatment is given when such term is set as the simple harmonic oscillator. Some applications are also included.

Albino Hernández-Galeana, J. M. Rivera-Rebolledo, José Luis López-Bonilla +1 more

Zhengfeng Hu, Jinming Liu, Chengpu Liu +1 more

We investigated the electromagnetically induced transparency in spin-orbit-coupled finite-temperature cold quantum gases. We showed that spin-orbit coupling can induce an additional frequency shift in the absorption line, which can be observed nondestructively from the electromagnetically induced transparency spectroscopy. As an alternative method this shift can be used to detect and measure the spin-orbit coupling strength. The spin-orbit coupling can also be used as a switch to control laser light propagation in this medium.

M. Villa

Clement H. Wong, R. A. Duine

We investigate topological transport in spin-orbit coupled bosonic Mott insulators. We show that interactions can lead to anomalous quasiparticle dynamics even when the spin-orbit coupling is Abelian. To illustrate the latter, we consider the spin-orbit coupling realized in the experiment of Lin et al. [Nature (London) 471, 83 (2011)]. For this spin-orbit coupling, we compute the quasiparticle dispersions and spectral weights, the interaction-induced momentum-space Berry curvature, and the momentum-space distribution of spin density, and propose experimental signatures. Furthermore, we find that, for a generic spin orbit coupling, in our approximation for the single-particle propagator, the ground state can in principle support an integer Hall conductivity if the sum of the Chern numbers of the hole bands is nonzero.