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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

One-atom maser theory: photon losses and spectra

Alexander V. Gorokhov, Ilya E. Sinaiski

Published Jun 9, 2005• 0 citations
Publisher

Abstract

The Jaynes-Cummings model (JCM) of two-level atom interacting with the photon mode in ideal cavity plays an essential role in modern quantum optics. In previous papers an exact form of density matrix of the JCM with photons dissipation was found. In this article it is considered a partial case of cavity with zero temperature and obtained an exact expression for photon spectra and spectra of the mean number of photons in a cavity.

DOI
10.1117/12.636921

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Modern Physics Letters B•May 20, 1992•0 citations
The Jaynes-Cummings model (JCM) of two-level atom interacting with the photon mode in ideal cavity plays an essential role in modern quantum optics. In previous papers an exact form of density matrix of the JCM with photons dissipation was found. In this article it is considered a partial case of cavity with zero temperature and obtained an exact expression for photon spectra and spectra of the mean number of photons in a cavity.
The Jaynes-Cummings model (JCM) of two-level atom interacting with the photon mode in ideal cavity plays an essential role in modern quantum optics. In previous papers 1,2 an exact form of density matrix of the JCM with fixed atom position and photons dissipation was found. Here, taking into account the classical motion of the atom through the cavity, it is considered a case of nonideal cavity with zero temperature. We have obtained an exact expression for density matrix and calculated photon spectra and spectra of the mean number of photons in a cavity and and time dependencies of some values relevant for the one-atom maser theory.
We have assumed that atoms are placed in given positions of the standing wave of cavity. Based on modern optical achievements it is possible to localize a small number of emitters (atoms, ions, molecules and even nuclei) in various geometrical systems like optical cavities, quantum dots, optical lattices and dielectric or disordered media. It is supposed that at initial moment t = 0 pair of atoms is prepared in superposition of ground state |g⟩, first excited |e1⟩, second |e2⟩ and third excited |e3⟩ states and quantized cavity field in coherent state |ξ⟩. By using exact analytical solution for statevector of the coupled atom-field system found with the help of Schrodinger equation quantum-statistical properties of the quantized cavity field are examined as a function of the |ξ| parameter. Exact analytical solutions for the atomic population inversion ⟨Sz⟩, mean photon number ⟨n⟩ and their fluctuations σ are obtained by using this solution. In this situation quantum statistics of cavity field has the tendency towards oscillations, but exact periodicity of these oscillations is violated by the analogy with the micromaser model [2] and two-photon JCM of a threelevel atom [3].