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Acta Physica Sinica

Entropy evolution of the field interacting with a quasi-Λ-type four-level atom

Qingchun Zhou, Zhu Shi-Ning, (1)江苏科技大学数理系，镇江 212003;南京大学物理系，固体微结构物理国家重点实验室，南京 210093; (2)南京大学物理系，固体微结构物理国家重点实验室，南京 210093

Published Jan 1, 2005• 5 citations
Publisher

Abstract

The evolution of the field (atomic) entropy in a system of a quasi_Λ_type fourlevel atom interacting with an uncoupled two_mode coherent field is investigated. The effects of initial atomic state, the initial mean photon number and the splitting of the atomic energy levels on the entropy are discussed. The system reduces to that of a twolevel or threelevel atom interacting with a singlemode coherent field in special cases.

DOI
10.7498/aps.54.1184

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The evolution of the field (atomic) entropy in a system of a quasi_Λ_type fourlevel atom interacting with an uncoupled two_mode coherent field is investigated. The effects of initial atomic state, the initial mean photon number and the splitting of the atomic energy levels on the entropy are discussed. The system reduces to that of a twolevel or threelevel atom interacting with a singlemode coherent field in special cases.
Evolution of the entropy of the field in a system of Λ-type three-level atom interacting with two-mode SU(2) coherent field is studied.The influences of atom-field coulping strengths,the maximum possible number of photons in both modes N and a complex parameter related to the partition of photons in the SU(2) coherent state field modes ξ on evolution of the entropy of the field are discussed.The results obtained using the numerical method show that when atom-field coulping strengths g1 and g2 are nearly equel,evolution of the entropy of the field displays periodic oscillation;when the difference between atom-field coulping strength g1 and g2 is obvious,evolution of the entropy of the field displays collapse and revival phenomena.On the other hand,the times of collapses increases with the increase of the maximum possible number of photons in both modes N and with the decrease of the ratio between atom-field coulping strength of two single-mode l and a complex parameter related to the partition of photons in the SU(2) coherent state field modes ξ.
We investigate the evolution of the atomic quantum entropy and the atom–field entanglement in a system of a Λ-configuration three-level atom interacting with a single-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom–field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system, we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium, and the intensity-dependent coupling functional on the entropy are analyzed.
We investigate the evolution of the atomic quantum entropy and the atom–field entanglement in a system of a Λ-configuration three-level atom interacting with a two-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom–field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a non-correlated two-mode squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analysed.
We investigate the evolution of the atomic quantum entropy and the atom-field entanglement in a system of a Ξ-configuration three-level atom interacting with a single-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system, we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analyzed.
The quantum reduced entropy evolution of a V-type three-level atom interacting with the two- mode odd-even entangled coherent field is investigated.The effects of the detuning,mean photon numbers of field,the atom's initial state and the degree of the entanglement of the two-mode odd-even entangled coherent fields on the entropy are discussed.The results show that the oscillation of the entropy presents collapses and revivals with the increasing of the detuning or the mean photon number.The mean-value of field entropy decreases with the increasing of the detuning.But it increases with the increasing of the mean photon number.The mean-values of field entropy are higher when the atom is initially in excited state or superposition state than that of in ground state.The mean-value and the amplitude of field entropy decrease with the increasing of the degree of the entanglement of the two-mode odd-even entangled coherent fields.