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ACTA PHOTONICA SINICA

Statistic Properties of Photon in the System of the Two-mode Entangled Coherent Field Interacting with Atoms in Bell States

Zhuo‐Liang Cao

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The statistic properties of photon of a light-atoms interaction system,and two atoms in Bell states interacting with two-mode entangled coherent field,were investigated by means of quantum theory and numerical method.The effect on the statistic properties of photon induced by the atomic initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms were analyzed by numerical calculations.The results indicate that photon anti-bunching effect does not appear for the Bell state |β00〉 or |β10〉,however there can appear the photon anti-bunching effect under some conditions for the Bell state |β01〉 or |β11〉 appears.In the case,the photon anti-bunching effect depends on the mean photon numbers intensively.The influence of the degree of entanglement for the two-mode entangled coherent fields and the coupling strength of dipole-dipole interaction between atoms on the statistic properties of photon is small.

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The statistic properties of photon of a light-atoms interaction system,and two atoms in Bell states interacting with two-mode entangled coherent field,were investigated by means of quantum theory and numerical method.The effect on the statistic properties of photon induced by the atomic initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms were analyzed by numerical calculations.The results indicate that photon anti-bunching effect does not appear for the Bell state |β00〉 or |β10〉,however there can appear the photon anti-bunching effect under some conditions for the Bell state |β01〉 or |β11〉 appears.In the case,the photon anti-bunching effect depends on the mean photon numbers intensively.The influence of the degree of entanglement for the two-mode entangled coherent fields and the coupling strength of dipole-dipole interaction between atoms on the statistic properties of photon is small.
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 statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.
The light squeezing effects in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent states field are investigated by means of Schrdinger equation solution and numerical calculations.The results show that light squeezing effects not only depends on the mean photon numbers and atomic initial state but also the degree of entanglement of the two-mode entangled coherent state optics field,whereas the coupling between two atoms does not affect the light squeezing effects.The light squeezing effects does not appear for a special kind of Bell state |β11〉,however there can appear the light squeezing effects under some conditions for the other three Bell states.
By means of the quantum theory and numerical calculations method,the entanglement time evolution of the two identical two-level atoms in Bell states interacting with the two-mode odd-even entangled coherent field is investigated by using Negativity.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 Negativity are discussed.The results show that the two-atom entanglement state will forever stay in the maximum entangled state when the initial state is |β_(11)〉,while the Bell state |β_(00)〉atoms appear disentanglement most of the scaled time.For the state |β_(10)〉,mean photon numbers of field can be a great help,and in the state |β_(01)〉the coupling strength of interaction between atoms plays a major role in the two-atom entanglement.