Share Email Print

Proceedings Paper

Creation of entangled photons by two level atom trapped in one-dimensional nanocavity with weakly decaying resonance mode
Author(s): Vladislav Cheltsov
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

The entangled photons components are found to be created in the lossless nanocavity with resonance mode. The smallness of Γ ( 0 ≤ Γ<< g- coupling constant for electro-dipolar interaction) was revealed playing the crucial part in their production. It’s known that Г determines limits (ωc ± Γ) of photon frequency deflection from the mode frequency ωc, when photon passes through empty cavity. When Γ = 0 and ωac , the Hamiltonian is time independent and has two eigenstates with eigenvalies (ωa ± g). Each state is superposition of the upper and lower atomic states, taken with signs plus and minus respectively. These states are stationary and form a time-depended superposition. Matrix elements of the interaction Hamiltonian, taken between that superposition and atomic unperturbed states, contain two anti-phases components of entangled photons. Since Γ = 0, their emission out of cavity is forbidden so they interfere, producing beatings of the resonance mode by sin (g•t). When 0 < Γ<< g those beatings become quasi-stationary, and with probability proportional to Γ/4g they go out through the partly transparent mirror and disintegrate into two photons, each of them taking its own spectral place outside the cavity. This process is illustrated by 3D-plots in the (ω, t)-space.

Paper Details

Date Published: 22 May 2013
PDF: 9 pages
Proc. SPIE 8766, Nanotechnology VI, 87660U (22 May 2013); doi: 10.1117/12.2014218
Show Author Affiliations
Vladislav Cheltsov, Moscow State Mining Univ. (Russian Federation)

Published in SPIE Proceedings Vol. 8766:
Nanotechnology VI
Rainer Adelung, Editor(s)

© SPIE. Terms of Use
Back to Top