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Chinese Physics

Atom–photon entanglement in the system with competingk-photon andl-photon transitions

Qin Wu, Mao-Fa Fang, Yao-Hua Hu

Published Jul 1, 2007• 7 citations
Publisher

Abstract

We have investigated the evolution of the atomic quantum entropy and the entanglement of atom–photon in the system with competing k -photon and l -photon transitions by means of fully quantum theory, and examined the effects of competing photon numbers ( k and l ), the relative coupling strength between the atom and the two-mode field ( λ/g ), and the initial photon number of the field on the atomic quantum entropy and the entanglement of atom–photon. The results show that the multiphoton competing transitions or the large relative coupling strength can lead to the strong entanglement between atoms and photons. The maximal atom–photon entanglement can be prepared via the appropriate selection of system parameters and interaction time.

DOI
10.1088/1009-1963/16/7/028

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We have investigated the evolution of the atomic quantum entropy and the entanglement of atom–photon in the system with competing k -photon and l -photon transitions by means of fully quantum theory, and examined the effects of competing photon numbers ( k and l ), the relative coupling strength between the atom and the two-mode field ( λ/g ), and the initial photon number of the field on the atomic quantum entropy and the entanglement of atom–photon. The results show that the multiphoton competing transitions or the large relative coupling strength can lead to the strong entanglement between atoms and photons. The maximal atom–photon entanglement can be prepared via the appropriate selection of system parameters and interaction time.
Considering a two-level atom interacting with the competing two-mode field, this paper investigates the entanglement between the two-level atom and the two-mode field by using the quantum reduced entropy, and that between the two-mode field by using the quantum relative entropy of entanglement. It shows that the two kinds of entanglement are dependent on the relative coupling strength of atom-field and the atomic distribution, and exhibit the periodical evolution. The maximal atom–field entanglement state can be prepared via the appropriate selection of system parameters and interaction time.
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 investigate the entanglement in a system of two coupling atoms interacting with a single-mode field by means of quantum information entropy theory. The quantum entanglement between the two atoms and the coherent field is discussed by using the quantum reduced entropy, and the entanglement between the two coupling atoms is also investigated by using the quantum relative entropy. In addition, the influences of the atomic dipole–dipole interaction intensity and the average photon number of the coherent field on the degree of the entanglement is examined. The results show that the evolution of the degree of entanglement between the two atoms and the field is just opposite to that of the degree of entanglement between the two atoms. And the properties of the quantum entanglement in the system rely on the atomic dipole–dipole interaction and the average photon number of the coherent field.
In the process of a two-mode coherent state field interacting with an atom via intensity-dependent coupling,the evolution of entanglement between the atom and field or between the two-mode field is investigated by using quantum reduced entropy and relative entropy respectively.The results show that we can regulate the above mentioned two kinds of entanglement by choosing the system parameters of the initial state,or controlling the action time between the atom and field.The entanglement of the two-mode field will increase or decrease,but it's impossible to disentangle completely.We can get the EPR state and the separable state between the field and atom periodically in the high field conditions(the average photon number of the field is very large).
In this paper, effective Hamiltonian of the two-mode multiphoton Jaynes-Cummings model is given via the intensity-dependent coupling in the rotating wave approximation. Under strong field, the atom-field entanglement and the entanglement between two modes of coherent field, according to the above model, are investigated by using the quantum reduced entropy and the quantum relative entropy, respectively. It is showed that properties of these two types of entanglements are considerably relevant to the absorption or emission photon number k, per atomic transition. Different properties of entanglements in the processes of two-photon (k=1) and mutiphoton (k>2) are revealed respectively. The preparation of entangled states is discussed. The Einstein-Podolsky-Rosen states of atom-field irrelevant to time, as well as entangled states between two models of the coherent field are prepared, respectively.
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.