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Chinese Journal of Quantum Electronics

Remote controlling for the evolution of atom's occupancy by using W and GHZ states in the Tavis-Cummings model

Han Feng, Man Zhong-Xiao

Published Jan 1, 2010• 0 citations
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Abstract

Considering that three two-level atoms A, B and C were initially prepared in W or GHZ entangled state and two of them, A and B, interacted resonantly with coherent state field, after cavity QED evolution, Bell-basis measurement was performed on the two atoms inside cavity, through modulating the intensity of the coherent field and the strength of dipole-dipole interaction between atoms, one can controlled the evolution of atom's occupancy of atom C outside cavity. The results show that the influence on the evolution properties of occupancy of atom C outside cavity is different under selecting different initial state and carrying out different measurement in the same initial state. As increasing the intensity of the coherent field and the strength of dipole-dipole interaction between atoms, the evolution of occupancy of atom C outside cavity can exhibit obviously the collapse-revival phenomenon and the characteristic of increasing of Rabi frequency and lengthening of revival period, etc.

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Time-evolution of the Atom's Occupancy of Atoms in Bell States Interacting with the Two-mode Entangled Coherent Field via Two-photon Process

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Time-evolution of the atom's occupancy of two-mode field interacting with two atoms in Bell states via multiphoton process

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The Time-evolution of the Atomic Population in the System of Atoms in Bell States Interacting with Two-mode Entangled Coherent Field

Zhuo‐Liang Cao

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.

Acta Sinica Quantum Optica•Jan 1, 2007•0 citations
Considering that three two-level atoms A, B and C were initially prepared in W or GHZ entangled state and two of them, A and B, interacted resonantly with coherent state field, after cavity QED evolution, Bell-basis measurement was performed on the two atoms inside cavity, through modulating the intensity of the coherent field and the strength of dipole-dipole interaction between atoms, one can controlled the evolution of atom's occupancy of atom C outside cavity. The results show that the influence on the evolution properties of occupancy of atom C outside cavity is different under selecting different initial state and carrying out different measurement in the same initial state. As increasing the intensity of the coherent field and the strength of dipole-dipole interaction between atoms, the evolution of occupancy of atom C outside cavity can exhibit obviously the collapse-revival phenomenon and the characteristic of increasing of Rabi frequency and lengthening of revival period, etc.
We use quantum theory and numerical method to study the non-local three-atom system quantum characteristic.The initial state of the three-atom system is on the three-body entangled W state,and the two atoms A,B can interact resonantly with a single-mode field in the coherent state.During the course of Cavity-QED evolution of the total system,we make Bell measurements to the atoms A and B. Through operating the intensity of the coherent field and the dipole-dipole coupling interaction between atoms A and B,we can control the atomic occupancy of atom C outside of the cavity.After taking photon detection to the coherent field,we can control C atomic dipole squeezing through manipulating the evolution time,the number of the detected photons,the parameter of coherent field and the dipole-dipole coupling interaction between atoms A and B So we are easy to remotely control the quantum character of the atom outside of the coherent cavity.
Considering three two-level atoms initially in the W or Greenberger—Home—Zeilinger (GHZ) state, one of the three atoms is put into an initially coherent light cavity and made to resonantly interact with the cavity. The two-atom entanglement evolution outside the cavity is investigated. The influences of state-selective measurement of the atom inside the cavity and strength of the light field on the two-atom entanglement evolution outside the cavity are discussed. The results obtained from the numerical method show that the two-atom entanglement outside the cavity is strengthened through state-selective measurement of the atom inside the cavity. In addition, the strength of the light field also influences the two-atom entanglement properties.
Considering three two-level atoms initially in the GHZ state,two atoms of the three atoms are put into initially empty cavity and made resonant interaction.The two-atom entanglement properties inside cavities are investigated by means of the quantum theory and numerical calculations.Through comparing the results if a rotation operation and direct selective measurement is performed or not,the influences of a rotation operation and state-selective measurement of the atom outside the cavity on the two-atom entanglement evolution inside cavities are discussed.The results obtained using the numerical method show that the two-atom entanglement properties inside cavities is controlled by manipulating the atom outside the cavity,and it can be strengthened by seleting suitable rotation angle.
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.
We investigate the time-evolution of the atom's occupancy in the system of two- mode coherent fields interacting with two atoms in Bell states via multiphoton process.The results show that the atom's occupancy is zero if the two atoms are initially in Bell state 1/2~(1/2)(|+,-〉-|-,+〉).The atom's occupancy is influenced by three factors,which are the intensity of two dipole-dipole coupled atoms,the coupling constant of light and atoms and the absorbing or emitting photon number per atomic transition,if the two atoms are initially in the other three Bell states.The oscillation frequency of the atom's occupancy accelerates apparently with the increase of the intensity of two dipole-dipole coupled atoms or the ab- sorbing or emitting photon number per atomic transition.The collapse-revival phenomenon of the atom's occupancy disappears when the intensity of two dipole-dipole coupled atoms is increased to some point.
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.