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Journal of Atomic and Molecular Physics

Entropy properties in the system of atoms in Bell states interacting with the two-mode entangled coherent field

Yong Li

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The entanglement time evolution of atoms in Bell states interacting with the two-mode entangled coherent field is investigated by means of 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 shows that the two-atom entanglement state will forever stay in the maximum entangled state when the initial state is |β11〉,while the Bell state |β00〉 atoms appear disentanglement most of the time.For the state |β10〉 mean photon numbers of field can be a great help,and in the state |β01〉 the coupling strength of interaction between atoms plays a major role in the two-atom entanglement.

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Acta Sinica Quantum Optica•Jan 1, 2008•0 citations
The entanglement time evolution of atoms in Bell states interacting with the two-mode entangled coherent field is investigated by means of 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 shows that the two-atom entanglement state will forever stay in the maximum entangled state when the initial state is |β11〉,while the Bell state |β00〉 atoms appear disentanglement most of the time.For the state |β10〉 mean photon numbers of field can be a great help,and in the state |β01〉 the coupling strength of interaction between atoms plays a major role in the two-atom entanglement.
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.
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.
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.
We studied the entanglement properties of the system consisting of two atoms in Bell states interacting with the two-mode odd-even entangled coherent field by utilizing the complete quantum theory. The influences of the initial Bell state of the atoms, the intensity of field, the coupling strength of interaction between atoms and the initial degree of the entanglement between the two-mode fields on the atomic entropy and on negativity are discussed by using numerical calculations. It turns out that the two atoms can keep their initial maximal entangled state while the two-atom and the two-mode field keep their initial disentangled state if the two atoms are initially in |β11〉. Therefore, for the initial atomic state |β00〉 or |β01〉, the increasing of the field intensity can be a help to prepare the atom-field entanglement, and for |β10〉, it is beneficial for the atom–atom entanglement. Meanwhile, for the initial atomic state |β10〉 and |β01〉, strong coupling strength of interaction between atoms is beneficial for the atom–atom entanglement, but for |β00〉, it can be helpful for the atom-field entanglement.
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.