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Quantum Entanglement in An Interacting System of Moving Atom and Schrdinger Cat State

LI Peng-ma

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

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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Journal of Jilin University•Jan 1, 2005•0 citations
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.
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.
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.
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.
The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition were studied based on quantum theory.The influences of atomic motion and the field structure on the quantum entanglement were investigated as the initial state of atom is in the excited state.The results showed that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode,but the periodic evolution of the entanglement properties cannot be destroyed.
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.
The statistic properties of photon in the system of a two-mode entangled coherent state interacting with a Ξ-type three-level atom are investigated by solving Schrdinger equation and using numerical calculations. The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode entangled coherent state, the ground state probability amplitude of the atomic initial state, the detuning, the atom-field coupling constant and the mean photon number are analyzed. The results indicate that the influence of the degree of entanglement of the two-mode entangled coherent state on the statistic properties of photon is small. The increasing of the ground state probability amplitude of the atomic initial state causes the center of the time evolution curve to move up distinctly. The increasing of the detuning results in the decrease of the oscillating frequency of the time evolution curve. The influences of the atom-field coupling constant and the mean photon number on the statistic properties of photon are noticeable. The correlation of the two modes of light is non-classical all the time.