Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion

Abstract

In this paper, a model by which we study the interaction between a motional three-level atom and two-mode field injected simultaneously in a bichromatic cavity is considered; the three-level atom is assumed to be in a Λ-type configuration. As a result, the atom-field and the field-field interaction (parametric down conversion) will be appeared. It is shown that, by applying a canonical transformation, the introduced model can be reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions, which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom by considering 'atomic population inversion' and two different measures of entanglement, i.e., 'von Neumann entropy' and 'idempotency defect' is discussed, in detail. It is deduced from the numerical results that, the duration and the maximum amount of the considered physical quantities can be suitably tuned by selecting the proper field-mode structure parameter p and the detuning parameters.

Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features: A new approach

“…(a) is nearly 10 times greater than the others. In other words, the strength of nonclassicality of the state in (10) is more visible than the other states in (12), (15) and (17).…”

Dynamics of physical properties of a single-mode quantized field non-linearly and non-resonantly interacting with two V-type three-level atoms passing consecutively through a cavity

“…In these relations the first-order and the second-order squeezing correspond respectively to k ¼1 and k¼ 2. In order to calculate the normal squeezing of the field, one can obtain simply x p i , where A 2 , B 2 and C 2 were found in (21). Now, using the relations (30), (31) and (33), we are able to calculate S x 2 ( ) and S p 2 ( ) .…”

“…Also, in order to survey the JCM in different concepts, interesting results have been attained according to various generalizations of this model. We may refer to a few examples of them as follows: the interaction between two two-level atoms and a single-mode field [3], the interaction between N-level atom and (N À 1)-mode field [4], the interactions of a multi-level atom and one-or two-mode field [5,6], multi-photon transitions in the atom-field interaction [7][8][9][10], intensity-dependent JCM (nonlinear regime) [11][12][13] which in particular we will also deal with in the present paper, different interaction schemes between atoms and electromagnetic field in the presence of a Kerr medium [14][15][16], JCM with electromagnetic field in the presence of converter terms [17,18], JCM in the presence of Stark shift [7,19,20] and finally JCM when the atom-field coupling is position-dependent [21,22].…”

The interaction between a Three-Level Atom and Four Systems of N-Two Level Atoms

“…Faraji et al investigated the system of two-level atoms interacts with two fields by taking into account the dipole-dipole interaction of the atoms, and the time evolution of atomic inversion [18]. Faghihi et al, on the other hand, discussed the atomic inversion evolution of the system of a three-level atom of Λ-type interacts with a two-mode field in the existence of a bichromatic cavity [19].…”