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Journal of Jianghan University

Evolution Feature of Linear Entropies of Atom Interacting with Photon-added Coherent Field

Dahai Xu

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The linear entropies of atom and photon-added coherent field in a two-level atom-field coupling system are investigated.The results show that atomic linear entropy is influenced by the ground state probability when the filed is weakly.For a strong filed,the phenomenon of revival and collapse is also appeared in the atomic linear entropy.With the increasing of the mean photon number,the revival period increase.The atom collapses to a unique pure state regardless of the initial atomic conditions.

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The linear entropies of atom and photon-added coherent field in a two-level atom-field coupling system are investigated.The results show that atomic linear entropy is influenced by the ground state probability when the filed is weakly.For a strong filed,the phenomenon of revival and collapse is also appeared in the atomic linear entropy.With the increasing of the mean photon number,the revival period increase.The atom collapses to a unique pure state regardless of the initial atomic conditions.
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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.
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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.
According to the complete quantum theory,the quantum field-entropy evolution properties in a system of the two coupled two-level atoms interacting with a single-mode odd-coherent state light field are studied.Through numerical calculation the influence of the initial mean photon number n_0,the coupled intensity g of interaction between the single-mode field and atoms,and the coupled intensity g_a of dipole-dipole interaction between the two coupled atoms on the quantum field-entropy evolving while the initial state of the light field is a single-mode odd-coherent and the two coupled two-level atoms lay in different Einstein Poclolsky Rosen(EPR) entangled state respectively.The results indicate that the time evolving of quantum field-entropy is closely related to the initial atoms state.The quantum field-entropy evolution can display the phenomena of entanglement and disentanglement while they are periodically under the condition of intensity field(n_01). Meanwhile the phenomena of quantum interference is also discovered.The periodicity of the quantum field-entropy anomalous oscillation decreases gradually with the increasing of g values.When g_a is an especial constant,it is shown that the phenomena of period collapse-reversion can present.
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.