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Acta Physica Sinica

Evolution of the entropy of a two-mode field interacting with a casade three-lev el atom system

Zhang Li-Hui, Gao‐xiang Li, Gan Zhong-Wei, (1)华中师范大学物理系，武汉 430079; (2)江汉大学物理信息工程学院，武汉 430056

Published Jan 1, 2003• 4 citations
Publisher

Abstract

Considering the larger detuning approximation and the effect of phase damping of cavity field,we have studied the time evolution of the linear entropies for the atom-field system,the field and the atom in the system of a cascade three-level atom interacting with a two-mode field.The effects of ac Stark shifts and initial states of the cavity field on all the linear entropies are analyzed.

DOI
10.7498/aps.52.1168

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Jiguang zazhi•Jan 1, 2004•0 citations
Considering the larger detuning approximation and the effect of phase damping of cavity field,we have studied the time evolution of the linear entropies for the atom-field system,the field and the atom in the system of a cascade three-level atom interacting with a two-mode field.The effects of ac Stark shifts and initial states of the cavity field on all the linear entropies are analyzed.
The time evolution of linear entropy of atom-field coupling system, atom and field in the system of two two-level atoms inside a single-mode cavity with amplitude-damping under the condition of large detuning were investigated. The effects of the initial preparation of two atoms, the decay rate of cavity field and the mean photon number of field on all kinds of linear entropy were discussed. The results show that if both the two atoms are in their excited states or ground states, all the linear entropies equal to zero. But when the two atoms are in their coherent superposition state of excited state and ground state, the cavity dissipation will lead to the system to evolve into a mixed state, the linear entropy of atom and field exhibits periodic oscillations with damped amplitude.
Some investigations have been made on the evolution of the linear entropies of atom-field system, in which two identical two-level atoms simultaneously interact with a single-mode dissipative cavity field under large detuning. The effects of the initial atom states and the dissipative factors of the cavity on all linear entropies are also discussed. The results show that the influence of the cavity decay constant on different kinds of Bell states is completely different, and the state |Ψ〉12 is a robust entangled state against the decoherence while the state |Φ〉12 is a fragile entangled state.
The evolution of the linear entropies of the field,atoms and field-atoms coupling system in the system of two completely identical two-level atoms inside a phase-damping cavity interacting with a coherent field under large detuning are investigated.The effects of atomic initial state,the mean photon number of the field and the dissipation coefficient on the above linear entropies are discussed.The results show that the linear entropies of both the field and the atom are strongly dependent on the atomic initial state,but the evolution of the linear entropy of the system is independent of the atomic initial preparation.With the increasing of the mean photon number,the linear entropies of field,atoms and field-atoms increase;And the larger the dissipation,the more rapid the linear entropies of the field and system tend to the certain degree of mixture,but the linear entropies of atoms don't vary with the dissipation coefficient.