Single-photon, cavity-mediated gates: Detuning, losses, and nonadiabatic effects
Julio R. Gea-Banacloche, Leno M. Pedrotti · Physical Review A · 2012
We study several extensions of the single-photon, cavity-mediated quantum logical gates recently proposed by Koshino, Ishizaka, and Nakamura [Phys. Rev. A 82, 010301(R) (2010)]: to a double-sided cavity configuration, to the case where the two atomic ground states are nondegenerate, and to the nonadiabatic regime. Our analysis can be used to estimate the effects of various imperfections and to prepare the way for a proof-of-principle demonstration with present technology. We are able to present a full solution for the outgoing pulses, in the frequency domain, which is valid for arbitrary incident pulses and cavity parameters. From this we find, among other results, that the leading correction to the adiabatic approximation can be made to vanish for a suitable choice of detunings, provided the cavity is ``good enough'' (high enough ratio of coupling to loss). This could significantly relax the need for long single-photon pulses in this scheme.