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IEEE Lasers and Electro-Optics Society Annual Meeting (LEOS)

Nonperturbative theory of cavity-controlled spontaneous emission of two level atom in microcavity

Vladislav Cheltsov

Published Jan 1, 1996• 0 citations

Abstract

Summary form only given. The feasibility of cavity-controlled spontaneous emission of a motionless two level atom is analyzed quantum mechanically and nonperturbatively. It is proposed to control the emission by putting the excited atom into the combined field of two lossless modes with their frequencies /spl omega//sub 2,1/ detuned symmetrically about the atomic one /spl omega//sub /spl alpha//, i.e. /spl omega//sub 2,1/=/spl omega//sub /spl alpha///spl plusmn//spl Delta/. The controlling /spl omega//sub 2,1/ modes are isolated from the free radiation field by an one-dimensional ideal cavity (or by two crossed ones) at zero temperature. These modes are taken to be linearly polarized in the same plane. Because the wavelength and cavity dimensions are assumed to be of the same order, the retardation effects are neglected. The spontaneous emission is treated as a radiative decay of the macromolecule-like "atom+/spl omega//sub 2,1/ modes"-subsystem (the H/sub s/-one) under its interaction with the free H/sub k/-field.

DOI: 10.1109/leos.1996.571911

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Summary form only given. The feasibility of cavity-controlled spontaneous emission of a motionless two level atom is analyzed quantum mechanically and nonperturbatively. It is proposed to control the emission by putting the excited atom into the combined field of two lossless modes with their frequencies /spl omega//sub 2,1/ detuned symmetrically about the atomic one /spl omega//sub /spl alpha//, i.e. /spl omega//sub 2,1/=/spl omega//sub /spl alpha///spl plusmn//spl Delta/. The controlling /spl omega//sub 2,1/ modes are isolated from the free radiation field by an one-dimensional ideal cavity (or by two crossed ones) at zero temperature. These modes are taken to be linearly polarized in the same plane. Because the wavelength and cavity dimensions are assumed to be of the same order, the retardation effects are neglected. The spontaneous emission is treated as a radiative decay of the macromolecule-like "atom+/spl omega//sub 2,1/ modes"-subsystem (the H/sub s/-one) under its interaction with the free H/sub k/-field.

The time-dependent spontaneous emission spectral line shape of two level motionless atom placed in common antinode of two symmetrically detuned lossless modes has been investigated nonperturbatively. The line shape and its temporal evolution have been found to be a function of modes detuning and natural line width of isolated atom. The spectrum varies between singlet and triplet taking on the well-known Lorentz-shape form when detuning and natural line width become much larger than the coupling constant of interaction of the atom with modes.

The theoretical model presented here is motivated by experimental works demonstrating the suppression of spontaneous emission by atoms placed inside a cavity with a fundamental frequency above that for the atomic transition. In my model, two distinguishable two-level atoms, one of them initially excited, the other in the ground state, are coupled to a nonresonant radiation mode, with no direct interaction between the atoms. The exchange of energy between the atoms is investigated, and it is found that it oscillates from one atom to the other with angular frequency \ensuremath{\Omega} related to the radiative lifetime \ensuremath{\tau} by \ensuremath{\Omega}\ensuremath{\tau}=(3/2${\mathrm{\ensuremath{\pi}}}^{2}$)(${\mathrm{\ensuremath{\omega}}}_{0}$/${\mathrm{\ensuremath{\omega}}}_{0}$-\ensuremath{\omega})(${\mathrm{\ensuremath{\omega}}}_{0}$/\ensuremath{\omega}

{)}^{3}

, with ${\mathrm{\ensuremath{\omega}}}_{0}$ and \ensuremath{\omega}, the frequencies for the radiation mode and the atomic transition, respectively.

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