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Journal of Atomic and Molecular Physics

The fidelities of quantum states in the system of the two-mode entangled coherent field interacting with atoms in Bell states for fine cavity

Zhang Guo

Published Jan 1, 2008• 0 citations
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Abstract

Interaction between two atoms is considered.The fidelities of quantum states in the system of the two-mode entangled coherent field interacting with atoms in Bell states are derived.The results indicate that for ideal cavity,the fidelity of the system always equals to one for the coherent maintenance state at original time.The fidelities of the system surge periodically from 0 to 1 for the etceteras Bell state at original time when average photon number of two-mode entangled coherent states cavity fields are very small.When average photon number of two-mode entangled coherent states cavity fields increase,oscillatory frequency of the fidelities of the system augments and swing decrease.For fine cavity,the fidelity of the system is humdrum exponent attenuation for the coherent maintenance state at original time.The fidelities of the system are oscillatory exponent attenuation for the etceteras Bell state at original time,and when average photon number of two-mode entangled coherent states cavity fields increase,oscillatory frequency of the fidelities of the system augments and swing decrease.

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Journal of Jilin University(Science Edition)•Jan 1, 2007•0 citations
Interaction between two atoms is considered.The fidelities of quantum states in the system of the two-mode entangled coherent field interacting with atoms in Bell states are derived.The results indicate that for ideal cavity,the fidelity of the system always equals to one for the coherent maintenance state at original time.The fidelities of the system surge periodically from 0 to 1 for the etceteras Bell state at original time when average photon number of two-mode entangled coherent states cavity fields are very small.When average photon number of two-mode entangled coherent states cavity fields increase,oscillatory frequency of the fidelities of the system augments and swing decrease.For fine cavity,the fidelity of the system is humdrum exponent attenuation for the coherent maintenance state at original time.The fidelities of the system are oscillatory exponent attenuation for the etceteras Bell state at original time,and when average photon number of two-mode entangled coherent states cavity fields increase,oscillatory frequency of the fidelities of the system augments and swing decrease.
The fidelities of quantum states in the system of two-mode entangled coherent field interacting with atoms in the Bell states in Kerr thin medium are investigated by means of full quantum theory. The results indicate that for ideal cavity,the fidelity of the system always equals to that for the coherent maintenance state at original time when average photon number of cavity fields is very small.When average photon number of cavity fields increases,the fidelity of the system is humdrum attenuation.The fidelity of the system oscillates periodically from 0 to 1 for other Bell states at original time when average photon number of cavity fields is very small.When average photon number of cavity fields increases, oscillatory frequency of the fidelity increases and amplitude decreases.For fine cavity,the fidelity is humdrum exponent attenuation for the coherent maintenance state at original time.The fidelity is oscillatory exponent attenuation for other Bell states at original time,and when average photon number of cavity fields increases, oscillatory frequency of the fidelity increases.
The entanglement time evolution of atoms in Bell states |β and |β interacting with the two-mode entangled coherent field is investigated by means of full quantum theory and numerical calculations.The effects of the atoms′ initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of interaction between atoms on the entanglement are discussed.The results show that the entropy time evolutions appear regular with the increase of the mean photon numbers of field.The frequency and amplitude of the oscillation decrease with the increase of the coupling strength of interaction between atoms.But when the degree of the entanglement for the entangled coherent fields changes,the frequency and amplitude of the entropy oscillation won′t change.
The time-evolution of atomic population of a light-atoms interaction system,two atoms in Bell states Interacting with two-mode entangled coherent field,are investigated by means of quantum thoery and numerical method.The effect of the atomic initial state,mean photon numbers of field,the degree of the entanglment for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms on the atom's population are discussed by numerical calculation.The results show that the atomic population is time-independent provided that the atom is in |β11〉 state.For the other three Bell states,there will appear the periodical collapse-revival of the atomic population if the initial mean photon number reaches some special value.With the increase of the initial mean photon number,the oscillation frequency of the time-evolution of atomic population increases correspondingly,and the amplitude decreases.The revival period of the atomic population for the initial states |β00〉 and |β10〉 is twice of that for the initial state |β01〉.The degree of entanglement of the two-mode entangled coherent field and the intensity of two dipole-dipole interaction between atoms have no effects on the frequency of the Rabi oscillation,but have obvious effects on the amplitude of the oscillation.
The time-evolution of the atom′s occupancy in the system of two-mode entangled coherent fields interacting with two atoms in Bell states via two-photon process is investigated by means of quantum theory.The results show that the atom′s occupancy is zero if the two atoms are initially in Bell state |β11.If the two atoms are initially in the other three Bell states,the oscillation frequency of the atom′s occupancy accelerates and the amplitude decreases apparently with the increase of mean photon numbers of field.The degree of the entanglement for the entangled coherent fields can′t influence the oscillation frequency and the position of the atom′s occupancy curve.If the two atoms are initially in Bell state |β01,the Rabi oscillation frequency of the atom′s occupancy accelerates apparently with the increase of the coupling strength of interaction between atoms.While the two atoms are initially in Bell state |β10 or |β00,the collapse-revival phenomenon of the atom′s occupancy disappears gradually.
The atom fidelity and degree of entanglement were calculated in the system consisting of M two-level atoms and M multi-mode fields by use of complete quantum theory and number computing method.Through number computing and analyzing,it was found that the atom fidelity and the atom entangled degree present always oscillatory with opposite in phase if initial atoms are in separate state, and both of their frequency gradually increase with the intensity of light field increasing.The atom fidelity tends to 0and degree of entanglement tends to 1under strongly coupling between atoms and light fields.The small fidelity is disadvantage of information transfer but high-fidelity atom information transfer can still obtained by controlling appropriately interaction time.
The time evolution of atomic population of the system, where the two identical two-level atoms in Bell states interact with two-mode entangled coherent field in a cavity filled with the Kerr medium, was investigated by means of quantum theory and numerical method. The effects of the atomic initial state, mean photon numbers of field, the degree of the entanglement for the entangled coherent field, and the coupling strength between the Kerr medium and field on the atom’s population are discussed via numerical calculations. The results show that the atomic population is time-independent provided that the atoms are in β11〉 state. For the other three Bell states, there will appear the periodical collapse-revival of atomic population if the initial mean photon number reaches some special values. With the increase of the initial mean photon number, the oscillation frequency of the time-evolution of atomic population increases correspondingly, and the amplitude decreases. The degree of the entanglement of the two-mode entangled coherent field has no effect on the frequency of the Rabi oscillation, but has an obvious effect on the amplitude of Rabi oscillation. When the coupling strength between the Kerr medium and field reaches some special values, it has the obvious effects on the cycle of collapse-revival of atomic population, the frequency and the amplitude of Rabi oscillation.