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Journal of Atomic and Molecular Physics

Entropy evolution of the field in the system of the cascade three-level atom interacting with coherent state field

LU Dao-ming

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

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.

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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.
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.
Using the method of the systematic state vector the field entropy of the two-mode SU(1,1) coherent states field interacting with four-level atom has been formulated.The influences of the initial field strength and the atom-field coupling constant on the field entropy have been investigated. The results obtained by means of numerical show that. With the increase of the initial field parameter q and ζ, the mean values of the evolution curves of the field entropy increase constantly and so do the oscillation frequency of the evolution curves of the field entropy. The larger the value of ζ is. the more obvious the periodicity of the evolution curves of the initial field entropy are, but the obviously smaller the oscillation amplitude values become. With the increase of the coupling constant, the mean values of the evolution curves of the field entropy do not obviously change, but the oscillation frequency increase largely, the oscillation amplitude decrease a little and get to stability after some time, This shows that the field entropy is susceptible to the atom-field coupling constant
The entropic squeezing properties of the field in the system of the cascade three-level atom interacting with superposition states field are studied.When the field is superposition state of |0〉 and |1〉,the results obtained using the numerical method indicate that the entropic squeezing properties of the field is closely related to the superposition coefficient φ and is influenced by the superposition coefficient.When φ is larger than 0 and smaller than π/2,with the increasing of the value of φ,the entropic squeezing properties of the field is getting stronger.
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 entangled-atoms interacting with coherent state light-filed is studied by means of quantum theory.The influence of the dipole-dipole interaction,the intensity of field and the two-atom's entanglement on the field entropy properties are studied.The results show that the increasing of the atomic dipole-dipole interaction will increase evolution period of field entropy.The mean-value of entropy will increase at first and then decrease with the intensity of field increasing.The oscillation period of field entropy increases with the increase of the intensity of field.The mean-value of field entropy will decrease with the increasing of atoms' entanglement,but the oscillation of field entropy will increase with the increasing of the entanglement of atoms.