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Physical Review A

Jaynes-Cummings model with phase damping

Le‐Man Kuang, Xin Chen, Guang‐Hong Chen, Mo‐Lin Ge

Published Oct 1, 1997• 71 citations
Publisher

Abstract

In this paper, we study a Jaynes-Cummings model (JCM) with phase damping, by introducing a master equation describing phase damping under the Markovian approximation. With the help of the superoperator technique, we find an analytic solution of the master equation for a nonresonant multiphoton JCM with phase damping. We investigate the influence of phase damping on nonclassical effects in the JCM, such as revivals of the atomic inversion, oscillations of the photon-number distribution, the quadrature squeezing of the cavity field, and sub-Poissonian photon statistics. It is shown that phase damping suppresses the revivals of the atomic inversion and nonclassical effects of the cavity field in the JCM.

DOI
10.1103/physreva.56.3139

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In this paper, we study a Jaynes-Cummings model (JCM) with phase damping, by introducing a master equation describing phase damping under the Markovian approximation. With the help of the superoperator technique, we find an analytic solution of the master equation for a nonresonant multiphoton JCM with phase damping. We investigate the influence of phase damping on nonclassical effects in the JCM, such as revivals of the atomic inversion, oscillations of the photon-number distribution, the quadrature squeezing of the cavity field, and sub-Poissonian photon statistics. It is shown that phase damping suppresses the revivals of the atomic inversion and nonclassical effects of the cavity field in the JCM.
In this paper, we find an analytic solution of the master equation of a non-resonant two-photon Jaynes-Cummings model (JCM) with phase damping with the help of the super-operator technique. We study the influence of phase damping on non-classical effects in the JCM, such as oscillations of the photon-number distribution, revivals of the atomic inversion, and sub-Possion photon statistics. It is demonstrated that the phase damping suppresses the revivals of the atomic inversion and non-classical effects of the cavity field in the JCM.
We study the effect of phase damping in the two-mode Jaynes–Cummings model (JCM) using a master equation describing phase damping under the Markovian approximation. An analytic solution of the master equation for the nondegenerate bimodal multiquanta JCM with phase damping is obtained. We show that phase damping has a less detrimental effect on nonclassical properties of the field than energy damping. In contrast to energy damping the strong nonclassical coherences of a Schrödinger's cat superposition state of two well separated coherent states decay with a similar time constant, independent of the separation of the two states.
An alternative approach to the Jaynes–Cummings model (JCM) with dissipation at a finite environmental temperature is presented in terms of a new master equation under Born–Markovian approximation. An analytic solution of the dissipation JCM is obtained. A variety of physical quantities of interest are calculated analytically. Dynamical properties of the atom and the field are investigated in some detail. It is shown that both cavity damping and environmental temperature strongly affect nonclassical effects in JCM, such as collapse and revivals of the atomic inversion, oscillations of the photon-number distribution, quadrature squeezing of the field and sub-Poissonian photon statistics.
An alternative approach to the Jaynes-Cummings model (JCM) with dissipation at a finite enviromental temperature is presented in terms of a new master equation under Born-Markovian approximations. An analytic solution of the dissipation JCM is obtained. A variety of physical quantities of interest are calculated analytically. Dynamical properties of the atom and the field are investigated in some detail. It is shown that both cavity damping and environmental temperature strongly affect nonclassical effects in the JCM, such as collapse and revivals of the atomic inversion, oscillations of the photon-number distribution, quadrature squeezing of the field and sub-Poissonian photon statistics.
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.
In this paper, the non-Markovian dissipative dynamics of the phase-damped Jaynes-Cummings model in the presence of a classical homogeneous gravitational field will be analyzed. The model consists of a moving two-level atom simultaneously exposed to the gravitational field and a single-mode traveling radiation field in the presence of a non-Markovian phase damping mechanism. First, the non-Markovian master equation for the reduced density operator of the system in terms of a Hamiltonian describing the atom-field interaction in the presence of a homogeneous gravitational field will be presented. Then, the superoperator technique will be generalized and an exact solution of the non-Markovian master equation will be obtained. Assuming that initially the radiation field is prepared in a Glauber coherent state and the two-level atom is in the excited state, the influence of gravity on the temporal evolution of collapses and revivals of the atomic population inversion, atomic dipole squeezing, and photon counting statistics of the radiation field in the presence of the non-Markovian phase damped will be investigated.