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arXiv:2503.17706 · Zhur. Eksptl'. i Teoret. Fiz.

CAVITY QED WITH DEGENERATE ATOMIC LEVELS AND POLARIZATION-DEGENERATE FIELD MODE

Решетов Владимир Александрович

Published Jan 1, 2025• 0 citations
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Abstract

The Jaynes – Cummings model with degenerate atomic levels and polarization-degenerate field mode is considered. The general expression for the system evolution operator is derived. The analytical expressions for such operators in the case of low values (J ≤3/2) of atomic angular momentum are obtained. The polarization properties of the photon emitted into the cavity by an excited atom are studied with an account of relaxation processes for arbitrary angular momenta of atomic levels.

DOI
10.7868/s3034641x25090062

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Abstract The master equation for the atom-field system with degenerate atomic levels and two polarization modes of the quantized field in a damped micro-cavity is obtained in the basis of eigenvectors of the interaction operator. The solution for the lossless cavity is obtained. The analytic expressions for the probability of emission of the photon in the cavity by an excited atom and of the photon polarization matrix are derived in the ‘strong coupling’ and ‘bad cavity’ approximations for arbitrary values of angular momenta of atomic levels. The dependence of the photon polarization on the polarization of the short excitation pulse is studied.
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The polarization properties of the micromaser field pumped by the atoms with the resonant levels, which are degenerate in the projections of the total angular momentum on the quantization axis, are studied numerically. The standard micromaser operation, when the atoms enter the cavity excited to the upper resonant level, and the micromaser operation under the coherent pump, when the atoms enter the cavity in a superposition of resonant atomic levels, are considered. The treatment is based on the master equation for the density matrix of the micromaser field, which takes into account the degeneracy of atomic levels.