Research Papers

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

[+] Author Affiliations
Vladislav Cheltsov

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

J. Nanophoton. 5(1), 053510 (June 21, 2011). doi:10.1117/1.3599038
History: Received January 18, 2011; Revised April 02, 2011; Accepted May 19, 2011; Published June 21, 2011; Online June 21, 2011
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Nonperturbative theoretical analysis of the temporal evolution of a spontaneous photon with atomic frequency ωa, 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(ωa ± 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.

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© 2011 Society of Photo-Optical Instrumentation Engineers (SPIE)

Topics

Photons

Citation

Vladislav Cheltsov
"Arising of the “entangled photon” in the one-dimensional high-finesse nanocavity", J. Nanophoton. 5(1), 053510 (June 21, 2011). ; http://dx.doi.org/10.1117/1.3599038


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