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Chinese Journal of Quantum Electronics

Fidelities of quantum states in system of two-mode entangled coherent field interacting with atoms in Bell states in Kerr thin medium for fine cavity

Guoshun Zhang

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

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.

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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.
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 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.
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 statistic properties of photon in the system of a two-mode odd-even entangled coherent states field interacting with a V-type three-level atom in Kerr medium are investi- gated by solving Schr dinger equation and numerical calculations.The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode odd-even en- tangled coherent states field,the coupling strength of the Kerr medium with the light field, the mean photon numbers and the ground state probability amplitude of atomic initial state are analyzed.The results indicate that the influence of the degree of entanglement of the two-mode odd-even entangled coherent states fields on the statistic properties of photon isn't noticeable.But the enhancing of Kerr effect,the decreasing of mean photon numbers and the increasing of the ground state probability amplitude of atomic initial state cause the time evolution curves to move up or down distinctly.The enhancing of Kerr effect results in the increase of the oscillating frequency of the curve and the decrease of the oscillating amplitude of the curve.When the mean photon numbers of the mode 1 remain unchanged and the mean photon numbers of the mode 2 are decreased,the oscillating amplitude of the curve is increased.
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 field entropy time evolution in Bell state|β_(01) and |β_(11) interacting with the two-mode entangled coherent field is investigated by means of full quantum theory. 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 entropy evolution properties of the field are discussed. The results shows that the entropy will forever be zero when the initial state is |β_(11) . For the state |β(01) the oscillation of the field entropy presents periodicity with the increasing of the mean photon number. And the coupling strength of interaction between atoms plays a major role in the entropy evolution properties.