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Journal of Physics A Mathematical and General

Decoherence described by Milburn's theory for the two-photon Jaynes-Cummings model with stark shift

Xin Chen, Le‐Man Kuang, Mo‐Lin Ge

Published May 7, 1995• 1 citation
Publisher

Abstract

The Milburn equation without diffusion approximation is solved exactly for the two-photon Jaynes-Cummings model in the presence of Stark shift. This allows the study of the decoherence problem in the whole range of the decoherence parameter gamma . The influence of decoherence on atomic inversion is studied. The dynamical behaviour is adjusted in the presence of Stark shift. It is shown that even in the presence of Stark shift the revivals of atomic inversion are destroyed in the decoherence process.

DOI
10.1088/0305-4470/28/9/004

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The Milburn equation without diffusion approximation is solved exactly for the two-photon Jaynes-Cummings model in the presence of Stark shift. This allows the study of the decoherence problem in the whole range of the decoherence parameter gamma . The influence of decoherence on atomic inversion is studied. The dynamical behaviour is adjusted in the presence of Stark shift. It is shown that even in the presence of Stark shift the revivals of atomic inversion are destroyed in the decoherence process.
In this paper, we study the multiphoton Jaynes-Cummings model (JCM) governed by the Milburn equation [G. J. Milburn, Phys. Rev. A 44, 5401 (1991); 47, 2415 (1993)], which models the decoherence of a quantum system as the quantum system evolves through intrinsic mechanisms beyond conventional quantum mechanics. We give an exact solution of this equation for the multiphoton Jaynes-Cummings Hamiltonian and apply it to investigate the influence of the intrinsic decoherence on nonclassical effects (atomic inversion, oscillations of the photon-number distribution, squeezing of the cavity field, and photon antibunching) in the JCM. It is shown that during the time evolution, the intrinsic decoherence in the atom-field interaction suppresses these nonclassical behaviors in the JCM.