Arising of the “entangled photon” in the one-dimensional high-finesse nanocavity

Cheltsov, Vladislav

doi:doi:10.1117/1.3599038

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Journal of Nanophotonics / Volume 5 / Research Papers

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Arising of the “entangled photon” in the one-dimensional high-finesse nanocavity

J. Nanophoton. 5, 053510 (Jun 21, 2011); http://dx.doi.org/10.1117/1.3599038

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Abstract

References (6)

Vladislav Cheltsov

Moscow State Mining University, Physics Department, Leninski Prospect 6, Moscow 119991, Russian Federation

Nonperturbative theoretical analysis of the temporal evolution of a spontaneous photon with atomic frequency ω_a, emitted by a motionless two-level atom in a one-dimensional high-finesse nanocavity into a single resonance decaying mode, is presented. The explicit solution of the Schrödinger equation was found in an interaction picture with use of the Green functions technique. It has been assumed that emission leaks out of the empty cavity by exponential law at rate Γ, which is a function of coupling constant g, distance between the mirrors, penetrability coefficient of the left mirror, and the velocity of light. The stationary superpositional co-phased structure of two photons with the same profiles and average frequencies 1/2(ω_a ± g), quenched with continuum of final photonics states, has been revealed. The profile of this structure has been found to have the form Γt exp(−Γt/4) with maximum attained for Γ/4g = 0.05 and average photon cavity lifetime equal to 4lnΓ/ Γ.

History

Received Jan 18, 2011
Accepted May 19, 2011
Revised Apr 02, 2011
Published online Jun 21, 2011

Digital Object Identifier

http://dx.doi.org/10.1117/1.3599038

Citation

Vladislav Cheltsov, "Arising of the “entangled photon” in the one-dimensional high-finesse nanocavity", J. Nanophoton. 5, 053510 (Jun 21, 2011); http://dx.doi.org/10.1117/1.3599038