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Science Technology and Engineering

Evolution of Entropy in the Interaction of a Cascade-type Three-level Atom and Optical Field with a Time-dependent Atom-field Coupling

Zeng Xiao-xiang

Published Jan 1, 2008• 0 citations
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Abstract

Under on-resonance condition and with a time-dependent atom-field coupling,the entropy properties of the optics field interacting with a Cascade three-level atom is studied,derive the field(atomic) entropy formula and discuss the effects of the atom-field coupling coefficient and the different initial field on the field(atom) entropy at length.The result show that the different Statistical properties of the initial field will lead to the change of the field(atom) entropy.When the atom-field coupling coefficient changes slowly,the speed of atom entering the statistical state is slowed;when the atom-field coupling coefficient changes rapidly,the oscillating frequency of the evolution of entropy speed up.

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Acta Physica Sinica•Jan 1, 2008•0 citations
Under on-resonance condition and with a time-dependent atom-field coupling,the entropy properties of the optics field interacting with a Cascade three-level atom is studied,derive the field(atomic) entropy formula and discuss the effects of the atom-field coupling coefficient and the different initial field on the field(atom) entropy at length.The result show that the different Statistical properties of the initial field will lead to the change of the field(atom) entropy.When the atom-field coupling coefficient changes slowly,the speed of atom entering the statistical state is slowed;when the atom-field coupling coefficient changes rapidly,the oscillating frequency of the evolution of entropy speed up.
Under on-resonance condition and with a time-dependent atom-field coupling, we study the entropy properties of the field interacting with a V-type three-level atom,and discuss the effects of the atom-field coupling coefficient and the different initial field on the field (atom) entropy at length. The results show that the different statistical properties of the initial field will lead to the change of the field (atom) entropy. When the atom-field coupling coefficient changes slowly, the speed of atom entering the statistical state is slowed; When the atom-field coupling coefficient changes rapidly, the oscillating frequency of the evolution of entropy speed up.
Under on-resonance condition and far-off-resonance condition, at first, we used the full quantum theory to educe the wave function of the system. Secondly, we utilized entropy theory, in virtue of the wave function, to discuss the effects of the initial mean photon number?the atomic motion and the field-mode structure on the evolution of the field(atom) entropy at length in the interaction of a three-level moving atom with field. The results show that the atomic motion leads to the periodic evolution of the field entropy, this periodicity does not depend on the statistical distribution and the intensity of the initial field mode, but depend on the atomic motion and the field-mode structure parameters ep. Both on-resonance condition and far-off-resonance condition, when making a suitable choice for parameter ep (this choice is experimentally possible),we can get pure field state for a long time.
The property of the field entropy in degenerate Raman coupling Jaynes-Jummings models with a linear time-dependent atom-field coupling is investigated.The influence of different initial field and time-dependent atom-field coupling coefficient on the field entropy is discussed at length.The results show that:(1) All the evolutions of field entropies have periodicity whatever the initial field states are.The increase of the mean number of photon does not change evolution periodicity;(2) The different statistical properties of the initial fields will give great effects on the values of the maximum field entropy and the variational range the highest value of field entropy;(3) the perfect periodicity of field entropy will be destroyed due to the linear modulation.When the atom-field coupling coefficient changes slowly,the speed of atoms′ entering the statistical state is slowered;when the atomfield coupling coefficient changes rapidly,the oscillating periodicity of the curve of the evolution of field entropy is shortened,the oscillating frequency of the evolution of field entropy is fastened,and the moments of the atom-field disentanglement are manifolded.
The evolution properties of the entropy of squeezed field interacting with the V-type three level atom via intensity-dependent coupling have been studied.The discussion is focused on the influence of the detuning and initial squeezing factor of light on the field entropy.The results show that the field entropy value rises with the increasing of initial squeezing factor of light.When the squeezing factor is smaller,the field entropy evolution is periodic and this periodicity vanishes gradually with the increasing of initial squeezing factor of light.The detuning influences remarkably on the field entropy which oscilates irregularly with the increasing of detuning.
The entropy properties of the light field of coupled identical Λ-type three-level atoms interacting with vacuum field in cavity filled with Kerr medium were investigated by means of quantum theory.The time evolutions of the entropy of the light field were discussed via the initial state of the system,detuning,coupling coefficient between the atoms,and the Kerr coefficient.Numerical calculation results show that the evolution of the entropy of the light field exhibits periodic oscillation,and its frequency and amplitude are intensively dependent on the initial state of the system.When the detuning the oscillation amplitude decreases with the increases of coupling strength and Kerr coefficient.
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.