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Revista Mexicana de Física

Linear entropy in the atom-field interaction at finite temperature

H. M. Moya-Cessa, Raúl Juárez-Amaro

Published May 1, 2024• 0 citations
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Abstract

We study the atom-field interaction at finite temperature and in the dispersive regime. We show that the master equation for this sytem may be solved with the use of superoperator techniques. We calculate the linear entropy in case the field is initially in a coherent state and the atom in a superposition of its ground and excited states.

DOI
10.31349/revmexfis.70.031302

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We study the atom-field interaction at finite temperature and in the dispersive regime. We show that the master equation for this sytem may be solved with the use of superoperator techniques. We calculate the linear entropy in case the field is initially in a coherent state and the atom in a superposition of its ground and excited states.
Under a weakly coherent field,the linear entropies of atom and field in a two-level atom-field coupling system are investigated.The effects of the atomic initial state on two linear entropies are discussed.The results show that atom and field entropies are influenced by the initial purity of atom and the ground state probability.The atom and field entropies are identical while the atom initially in the ground state,the atom and field show a strong negative correlation while atom is initially in mixed state.
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.