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Journal of Jianghan University

Dynamical Properties in System of a Coherent FieldInteracting with Two Coupled Atoms

Dai Sai-ping

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The properties of state evolution of the atom,field,and atom-field system in the system of two two-level atoms inside a phase-damping cavity interaction with a coherent field under the condition of large detuning are investigated by using the distance between density operators.The effects of the mean photon number of the filed and the phase damping on the dynamical behaviour in the system are discussed.The results show that the cavity phase damping can change the characters of the distance between density operators of the field and the atom-field system significantly,but the state evolution of the atom is independent of the cavity phase damping.

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The properties of state evolution of the atom,field,and atom-field system in the system of two two-level atoms inside a phase-damping cavity interaction with a coherent field under the condition of large detuning are investigated by using the distance between density operators.The effects of the mean photon number of the filed and the phase damping on the dynamical behaviour in the system are discussed.The results show that the cavity phase damping can change the characters of the distance between density operators of the field and the atom-field system significantly,but the state evolution of the atom is independent of the cavity phase damping.
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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.
We have investigated the entangleable properties of two two-level atoms inside the dissipative cavity coupled to a single-mode radiation field under the big detuning,and discussed the influence of the initial state of the two atoms,the cavitity decay constant and the mean photon number on the entanglement degree.It have shown that if the two atoms are initially in the exicited or the ground states,they will be separate always;if the two atoms are initially in the coherent superposition of the excited and the ground states,the influence of cavity dissipation on the entanglement degree will vanish gradually with the time evolution,but the dipole-dipole interaction can enhance the entanglement degree.
In this work, we investigate the dynamics of the coherence of two atoms trapped in one cavity with resonance and large detuned characters, respectively. By means of tracing over the freedom of the cavity, the evolution coherent state can be obtained. Subsequently, the coherence within the two different scenarios is discussed. Remarkably, an interesting result is obtained as the coherence can be enhanced to a large extent in the framework of large detuning. Besides, we find that there exists a distinctive phenomenon of recovery of the coherence with the interaction time of atom–cavity.