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Acta Physica Sinica

Evolution of atom entropy in a moving cascade three-level atom in a two-photon process

Zhang Jin-Fang, Lei Tan, Liu Li-Wei, Cai-Ying Ding, 兰州大学理论物理研究所,兰州 730000

Published Jan 1, 2008• 0 citations
Publisher

Abstract

The entropy evolution properties of field (atom) in a moving cascade three-level atom interacting with a single-mode field are studied through two photon transitions. When the atom is initially in coherent state, the influences of the atomic motion, the field-mode structure parameter and the initial average photon number on the evolution of the entropy are discussed. The results show that the entropy evolution period of the field is dependent of the atomic motion and the field-mode structure parameter. However, the parameter of the initial average photon number will neither lengthen nor shorten the entropy evolution period of the field, but the numerical values of maximum and sub-minimum of entropy will be affected by it.

DOI
10.7498/aps.57.2205

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The entropy evolution properties of field (atom) in a moving cascade three-level atom interacting with a single-mode field are studied through two photon transitions. When the atom is initially in coherent state, the influences of the atomic motion, the field-mode structure parameter and the initial average photon number on the evolution of the entropy are discussed. The results show that the entropy evolution period of the field is dependent of the atomic motion and the field-mode structure parameter. However, the parameter of the initial average photon number will neither lengthen nor shorten the entropy evolution period of the field, but the numerical values of maximum and sub-minimum of entropy will be affected by it.
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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.
The field entropy evolution of two level atom interacting with a single mode coherent light field is studied by means of the complete quantum theory.Through numerical calculation,the influence of the initial mean photon number,the coupled intensity g and the excited field intensity on the field entropy evolution is investigated.It is found that the field entropy evolution will be the phenomenon of oscillation periodicity and nonperiodicity and collapse-and-revival.The results show that the influence of the initial mean photon number and the coupled intensity g on the field entropy evolution possess nonlinear properties.
The field entropy evolution of a system which is composed of two moving entangled atoms interacting with the Schrdinger cat state is studied by means of the full quantum theory.The influences of the strength of light field,the phase angle between the two coherent states,the atomic motion and the field-model structure parameter on the field entropy are discussed.The result shows that the atomic motion leads to the periodic evolution of the field entropy.When the strength of light field is small,the degree of entanglement is maximum in a system of the moving atoms interacting with an odd coherent state;it is intermediate for a system of the the moving atoms interacting with Yurke-Stoler coherent state,and it is minimum in a system of the moving atoms interacting with an even coherent state.When the strength of light field is large enough,the degrees of entanglement between the moving atoms and the three different states of the light fields become equal,and the properties of field entropy evolvement are also same.With increasing atomic speed or field-model structure parameter,the evolution period of the field entropy is shortter,the degree of entanglement between field and moving atoms is weaker.
The entropy evolution of the field in the system of the cascade three-level atom interacting with coherent state field is studied.The results obtained using the numerical method indicate that the field entropy is influenced by the field parameters |α|,a) when |α| is small,with the increasing of the value of |α|,the average value of the field entropy is increasing and the related degree of the field-atom is getting stronger;b) when |α| is larger than certain value,with the increasing of the value of |α|,the average value of the field entropy is decreasing,and the related degree of the field-atom is getting weaker.