Arising of entangled photon in the high finesse nanocavity

Vladislav Cheltsov; Anton Cheltsov

doi:10.1117/12.892294

28 September 2011 Arising of entangled photon in the high finesse nanocavity

Vladislav Cheltsov, Anton Cheltsov

Proceedings Volume 8121, The Nature of Light: What are Photons? IV; 81210G (2011) https://doi.org/10.1117/12.892294
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

Abstract

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 ≈ ( ω_a ± 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 (ω_a ± g ) have the average photon energies equal to 1/2(ω_a ± 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."

Citation Download Citation

Vladislav Cheltsov and Anton Cheltsov "Arising of entangled photon in the high finesse nanocavity", Proc. SPIE 8121, The Nature of Light: What are Photons? IV, 81210G (28 September 2011); https://doi.org/10.1117/12.892294

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KEYWORDS

Satellites

Chemical species

Photon polarization

Mirrors

Modulation

Panoramic photography

Photonic nanostructures

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