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Acta Sinica Quantum Optica

The Evolution of Field(Atom) Entropy in the Interaction of a Three-level Moving Atom with Field

Jia Jin-ping

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

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.

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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 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.
In the rotating-wave approximation,the evolution of the field quantum entropy in the system that consists of a two-level atom interacting with a single-mode field was studied,considering the atomic motion and the field frequency varying with the time in the form of sine-function at the same time.In two cases of neglecting atomic motion and considering atomic motion,figures of the time evolutions of the field entropy were plotted respectively using numerical calculations.Influences of the atomic motion,the field-model structure parameter,amplitude and angular frequency of the field-frequency variation on the field entropy were also discussed.The atom-field entangled states,field fock states and atomic high fidelity states were prepared by analytic method according to the decomposition theorem of Schmidt,and the related system parameters of these quantum states operation were acquired.The results show that:the time evolution behavior of the field entropy is modulated by the frequency variation of field;the interaction between the field and atom will weaken with the increase of the amplitude of variation of the field frequency;the period of the field entropy agrees with the period of field-frequency variation;the atomic motion will result in the period of the field entropy doubled;the evolution of the field entropy is related to the parity of field-mode structure parameter;the approximate EPR states of field-atom can be prepared periodically whether the atom moves or not.
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.
In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three-level atoms interacting with one-mode cavity field when the atomic motion is taken into account. An exact analytical solution for the wave function is given by using Schrodinger equation for a specific initial condition. The field entropy of this system is investigated in the non-resonant case. The influences of the detuning parameters and atomic motion on the entanglement degree are examined. We show that both of the detuning parameters and atomic motion play important roles in the evolution of von Neumann entropy and atomic populations. Finally, conclusion and some features are given.
The influence of the motion of atomic mass centre, field mode structure and initial mean photon number on the field entropy squeezing is investigated by means of the theory of quantum information entropy. It is shown that the motion of atomic mass center leads to the periodic evolution of the field entropy squeezing and this period depends on the field mode structure parameter; an increase in field-mode structure parameter results in not only shortening of the evolution period of the field entropy squeezing but also prolonging of the squeezing time; the field may exhibit long time entropy squeezing effect for some choieed system parameters.
In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three-level atom interacting with one-mode cavity field when the atomic motion is taken into account. An exact analytical solution for the wave function is given by using Schrödinger equation for a specific initial condition. The field entropy of this system is investigated in the non-resonant case. The influences of the detuning parameters and atomic motion on the entanglement degree are examined. We show that both of the detuning parameters and atomic motion play important roles in the evolution of von Neumann entropy and atomic populations. Finally, conclusion and some features are given.