Entanglement analysis of a two-atom nonlinear Jaynes–Cummings model with nondegenerate two-photon transition, Kerr nonlinearity, and two-mode Stark shift

Abstract

Entangled state, as an essential tool in quantum information processing, may be generated through the interaction between light and matter in cavity quantum electrodynamics. In this paper, we study the interaction between two two-level atoms and a two-mode field in an optical cavity enclosed by a medium with Kerr nonlinearity in the presence of detuning parameter and Stark effect. It is assumed that atom-field coupling and third-order susceptibility of the Kerr medium depend on the intensity of light. In order to investigate the dynamics of the introduced system, we obtain the exact analytical form of the state vector of the considered atom-field system under initial conditions which may be prepared for the atoms (in a coherent superposition of their ground and upper states) and the fields (in standard coherent state). Then, in order to evaluate the degree of entanglement between subsystems, we investigate the dynamics of entanglement through the well-known criteria such as von Neumann reduced entropy, entanglement of formation and negativity. Finally, we analyze the influences of Stark shift, deformed Kerr medium, intensity-dependent coupling and also detuning parameter on the above-mentioned measures, in detail. Numerical results show that the amount of entanglement between different subsystems can be controlled by choosing the evolved parameters, appropriately. Introductory remarksThe notion of entanglement, as the nonlocality aspect of quantum correlations, is a form of quantum superposition and an outstanding trait of quantum mechanics which has no classical counterpart; the concept that is known as the heart of the Einstein-Podolsky-Rosen (EPR) paradox [1] and Bell's theorem [2]. The entanglement is an essential ingredient and a cornerstone of quantum information science such as quantum computation and communication 1

Entanglement swapping between dissipative systems

“…However, it is wellknown that the interaction of atoms with various types of cavity field (with additional interaction terms such as Kerr medium, etc.) is an efficient source of entanglement [11], a model which is called the Jaynes-Cummings model (JCM) [12]. It relies on the mutual coupling between a two-level atom and a single-mode quantized field in the rotating wave approximation.…”

Two-Qubit Local Fisher Information Correlation beyond Entanglement in a Nonlinear Generalized Cavity with an Intrinsic Decoherence

“…The nonlinear models were widely used to study “exotic” or nonclassical effects such as collapse and revival phenomena [ 35 ], quantum filters [ 36 ], bistability [ 37 , 38 ], and chaos [ 39 ]. Multiple photon processes play an important role in the nonlinear interactions [ 40 , 41 ], which are a convenient resource for quantum information and metrology [ 24 ].…”

Statistical Aspects and Dynamical Entanglement for a Two-Level Atom Moving on Along Cavity Length of x-Direction: Atomic Position Distribution

“…The JCM and its generalizations have been reported in the literature [12][13][14]; the atom-field interaction naturally leads to the entangled state. Throughout the recent five decades, the JCM has been generalized using the Kerr nonlinearity [15,16], intensity-dependent coupling [17][18][19][20], multi-photon transitions [21][22][23], and the atomic motion with the classical homogenous gravitational field [24].…”