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Neimenggu Shi-da xuebao. Zhexue shehui kexue hanwen ban

Entanglement Properties of the System in J-C Model with Multi-Photon Gaussian Coupling

Hongxing Li

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

Using the negative entropy method,the quantum entanglement character of the system in J-C model with multi-photon gaussian coupling is studied.The influences of the atomic initial state,the atomic motion,the detuning,the average photon number of the light field 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 changes in the form of oscillation-stability-oscillation when the atomic motion is considered.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 the increase of the average photon number,the value of the entanglement degree of the system becomes smaller,but the period for the stable value in the time domain is almost unchanged.Increasing the transition photon number,the value of the entanglement degree of the system becomes larger,the period for the stable value in the time domain becomes shorter.As the detuning value increases,the entanglement is disappearing gradually.

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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.
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.
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The entanglement time evolution of Tavis-Cummings model with Gaussian coupling is investi- gated.The entanglement between coherent field and two atoms is explored by using the quantum reduced entropy,and the entanglement between two atoms is studied by using Negativity entropy.Using the numer- ical method,the influences of the atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the entanglement are discussed.The results indicate that the time evolutions of the two entanglements are similar.But at the same time the stronger the entanglement between field and two atoms is,the weaker that between the two atoms is.The motion affects the entanglement.When the mean photon number increases,the Rabi frequency increases while the vibration amplitude decreases.When the atomic initial state changes,the entanglement appears similar time evolution.