Spin-photon interaction in a nanowire quantum dot with asymmetrical confining potential

The electron (hole) spin-photon interaction is studied in an asymmetrical InSb (Ge) nanowire quantum dot. The spin-orbit coupling in the quantum dot mediates not only a transverse spin-photon interaction, but also a longitudinal spin-photon interaction due to the asymmetry of the confining potential. Both the transverse and the longitudinal spin-photon interactions have non-monotonic dependence on the spin-orbit coupling. For realistic spin-orbit coupling in the quantum dot, the longitudinal spin-photon interaction is much (at least one order) smaller than the transverse spin-photon interaction. The order of the transverse spin-photon interaction is about 1 nm in terms of length $\mathrm{\mid }{z}_{eg}\mathrm{\mid }$, or 0.1 MHz in terms of frequency $e{E}_0\mathrm{\mid }{z}_{eg}\mathrm{\mid }\mathrm{/}h$ for a moderate cavity electric field strength $E_0=0.4$ V/m.