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Journal of Physics A Mathematical and General

On the Jaynes-Cummings model with multiphoton transitions in a cavity

E.I. Aliskenderov, K. A. Rustamov, A.S. Shumovsky, T Quang

Published Dec 21, 1987• 18 citations
Publisher

Abstract

The Jaynes-Cummings model with multiphoton transitions in a cavity is examined, and an exact solution of the master equation for the density matrix is found. Absorption and emission spectra are investigated.
DOI
10.1088/0305-4470/20/18/026

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The field spectra in an ideal cavity for the multiphoton Jaynes-Cummings model are studied. The analytical expression for the spectrum is obtained from the finite double-Fourier transform of the two-time field correlation function. The spectral differences between the initial coherent and initial thermal states are discussed, and the comparisons between the field spectra and atomic emission spectra for k = 2, 3 and 4 are presented. It is shown that the kth power of the photon annihilation operator and atomic lowering operator are subjected to identical forms of a second-order differential equation, in which the coefficients consist of the constants of motion. The field spectrum in the cavity and the emission spectrum of the atom for the initial vacuum state are compared.
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