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Chinese Journal of Quantum Electronics

Quantum entanglement of binomial optical field interacting with moving atom in mixed state

Hongxin Li

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Using negative entropy method,the quantum entanglement characteristics of the system of binomial optical field interacting with moving atom were studied.The influences of the atomic initial state,field-mode structure parameter,maximum photon number of binomial field,coefficient of binomial field,transition photon number and detuning were discussed.The results show that the value of entanglement degree of the system appears regular evolution and entanglement sudden death(ESD) phenomenon when atomic motion was considered.The increasing of the field-mode structure parameter shortens the period of the entanglement and results in a slight decreasing of amplitude.The atomic initial state affects the entanglement degree of the system.When the atomic initial state tends to pure state,the entanglement degree of the system is larger relatively.With increase of the maximum photon number of binomial field,the value of the entanglement degree of system becomes small,but the period for regular evolution is almost unchanged.When the field is in the middle states,the entanglement degree is smaller relatively.With the increase of the transition photon number,the value of the entanglement degree of the system becomes larger,the period of the oscillation becomes shorter,meanwhile the oscillation of the system becomes faster and faster.With the detuning increasing,the entanglement becomes small.

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arXiv:0907.3798•Chinese Physics B•Jul 1, 2011•12 citations
Using negative entropy method,the quantum entanglement characteristics of the system of binomial optical field interacting with moving atom were studied.The influences of the atomic initial state,field-mode structure parameter,maximum photon number of binomial field,coefficient of binomial field,transition photon number and detuning were discussed.The results show that the value of entanglement degree of the system appears regular evolution and entanglement sudden death(ESD) phenomenon when atomic motion was considered.The increasing of the field-mode structure parameter shortens the period of the entanglement and results in a slight decreasing of amplitude.The atomic initial state affects the entanglement degree of the system.When the atomic initial state tends to pure state,the entanglement degree of the system is larger relatively.With increase of the maximum photon number of binomial field,the value of the entanglement degree of system becomes small,but the period for regular evolution is almost unchanged.When the field is in the middle states,the entanglement degree is smaller relatively.With the increase of the transition photon number,the value of the entanglement degree of the system becomes larger,the period of the oscillation becomes shorter,meanwhile the oscillation of the system becomes faster and faster.With the detuning increasing,the entanglement becomes small.
Using the negative entropy method,the quantum entanglement character of the system of the coherent optical field interacting with the moving atom is studied.The influences of the atomic initial state,the field-mode structure parameter,the average photon number of the coherent field,the detuning,and the transition photon number on the entanglement character of the system are discussed.The result shows that the value of the entanglement degree of the system appears regular evolution and entanglement sudden death phenomenon(ESD)when the atomic motion is considered.When the atomic initial state tends to pure state,the entanglement degree of the system is larger relatively.With the increase of the average photon number of the coherent field,the value of the entanglement degree of the system becomes small,but the period for the regular evolution is almost unchanged.With the increase of the transition photon number,the value of the entanglement degree of the system becomes larger,the period of the oscillation becomes shorter,meanwhile the oscillation of the system becomes faster and faster.With the detuning increasing,the entanglement becomes small.
By means of the quantum theory and the method of the negative eigenvalues of the partial transposition,the properties of entanglement evolution in the system of two two-level atoms coupled to a light field in the binomial state for radiation field are investigated in the presence of phase decoherence in the multiphoton Tavis-Cumming Model.The influences of the maximum number of photons,the coefficient of binomial state for radiation field,the phase decoherence coefficient and the number of the transitional photons on the entanglement degree between two atoms have been discussed.The results show that the entanglement between two atoms will get steady state more easily,and the steady value of the entanglement degree is bigger than before with the increase of the maximum number of photons in the presence of phase decoherence.The entanglement between two atoms will approach a steady state more easily.The steady value will be diminished with the increase of the coefficient of binomial state for radiation field in selecting the proper parameter.The periods of the entanglement evolution are more obvious when the coefficient η of binomial state for radiation field is smaller.The entanglement evolution does not have the periodicity and tends the disentanglement phenomenon easily with the increase of the phase decoherence coefficient.The periods of the entanglement evolution is shorten and the entanglement intensity is weaken with the increase of the number of the transitional photons.
The field entropy evolution of two moving atoms interacting with the binomial field in Tavis-Cummings model is studied by means of the quantum theory.The influences of atomic motion and the parameters of the binomial optical field under different initial states are discussed emphatically.With the increase of the parameters of the binomial optical field,the entanglement degree between field and atoms is strengthened firstly and is weakened later.When the field is in the middle states,And as the speed of the moving atoms increases,the atom-field system will stay in the maximum entangled state.the entanglement degree between the field and atoms is weaken and the periodicity of the evolution of the field entropy decreased.When the field is in the middle states and the atoms is at the lower speed,the entanglement between the binomial field and the two atoms can be kept for much longer time.
The atoms′ entanglement character of the moving atoms in tavis-cummings model with the binomial field interacting is studied.The results indicate that the two moving atoms entanglement state appears periodically.The influences of the atomic motion and the parameters of the binomial light field on the atoms′ entanglement character are discussed by means of the full quantum theory.The parameters of the binomial optical field has an effect on the entanglement、the frequency of oscillating and the range appearing entanglement phenomenon,but it does not influence periodicity of the entanglement of the evolution.The two atom′s speed influence the periodicity of the entanglement of the evolution in the middle state of the optical field.The atom′s speed does not influence the value of the entanglement and the frequency of oscillating of the atoms.
Entanglement degrees in an interacting system of moving atom and Schrdinger cat state were studied by using the fully quantum theory and algebraic dynamics in the J-C model.The influence of the probability of atom in the ground,the velocity of atomic motion,the transition photon number,the original strength of the light field,the detuning and the two macroscopic coherent phase angles in the Schrdinger cat state on the entanglement properties of the system are discussed.The numerical results show that the odd or even transition photon number can produce great influence on the entanglement of the system.As the transition photon number is odd,the quantity of detuning can make the entanglement disappear suddenly.The increase of the velocity of atomic motion will make entanglement degrees decrease,and transition frequency becomes faster.When the transition photon number is even,and the probability of atom in the ground state is greater than that of atom in the excited state,it will make the entanglement degrees vanish suddenly.But under the same condition,the velocity of atomic motion will not affect the entanglement properties.
Using the algebraic dynamical method, the entanglement dynamics of an atom-field bipartite system in a mixed state is investigated. The atomic center-of-mass motion and the field-mode structure are also included in this system. We find that the values of the detuning and the average photon number are larger, the amplitude of the entanglement is smaller, but its period does not increase accordingly. Moreover, with the increase of the field-mode structure parameter and the transition photon number, the amplitude of the entanglement varies slightly while the oscillation becomes more and more fast. Interestingly, a damping evolution of the entanglement appears when both the detuning and the atomic motion are considered simultaneously.