Arising of entangled photon in the high finesse nanocavity
Vladislav Cheltsov, Anton V. Cheltsov · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2011
This work is a continuation of papers presented at the Optics and Photonics Symposium 2009 and is devoted to the case of the high finesse nanocavity with the average photon escaping rate Γ = η c/R << g -coupling constant. The case is of special interest as possible pretender for a qubit in quantum computers. The probability distribution to find photon in the (ωk , t )-space, investigated in the interval 0≤Γ/4g <<1, has triplet structure with very low central peak and satellites at frequencies ≈ ( ωa ± g). The latter emerge as result of emission from two upper atomic split sublevels. The peak is produced by ensuing reabsorptions of satellites by atom through its upper sublevels. Oscillating as t2•cos(gt) and decaying fast, the peak is accompanied with the simultaneously arising satellites, When the peak disappears the satellites become stable. The stability is quenched with continuum of final states. The profile of structure consisting of two identical components has the time-dependence t • exp(−Γt/4) and the width of satellites is by order less than the distance between them. These components with frequencies (ωa ± g ) have the average photon energies equal to 1/2(ωa ± g ) where factor "1/2 "accounts for normalization condition. The satellites amplitudes reach maximum at Γ/4g = 0.05. The profile of the structure has the form Γt • exp (−Γt/4) with maximum attained for Γ/4g =0,05 and average photon cavity life-time proportional to 4lnΓ/Γ. We name the structure "entangled photon."