Entropies and Entanglement for Initial Mixed State in the Multi-quanta JC Model with the Stark Shift and Kerr-like Medium

Abstract

In this paper, we study the time evolution of the entropies and the degree of entanglement in the mixed state for a multi-quanta JC model taking into consideration Stark shift and Kerr-like medium effect, we use a numerical method to investigate the time evolution of the partial entropy of the atom and field subsystem. This is done in the framework of the multi-quanta presses JC model with both the Stark shift and Kerr-like medium effect added. Furthermore, we examine the effect of the superposition states and a statistical mixture of coherent states as an initial field on the entropies and entanglement. Our results show that the setting of the initial state play an important role in the evolution of the sub-entropies and entanglement. KEY WORDS: entropies; the degree of entanglement; mixed state; the superposition states and a statistical mixture of coherent states.

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

“…The main task of this section is to calculate the exact solution for the coupled partial differential equations (14) and (15) of Schrödinger picture which we are able to obtain the dynamical operators as timedependent explicitly. This will be done with the help of Laplace transform of the Laplace transform: (16) and the inverse Laplace transformation: (17) By using the inverse Laplace transformation, we can get two useful relations that are used to find the exact solution (see Appendix):…”

“…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].…”

Properties of Linear Entropy in k -Photon Jaynes–Cummings Model with Stark Shift and Kerr-Like Medium

“…We consider a two-level atom interacting with a singlemode quantized filed for k-photon transitions taking into consideration Stark shift and Kerr-like medium effects. The effective Hamiltonian of the model with the rotatingwave approximation can be written as [31] H…”

Dynamical Features of Isolated Two- and Three-Level Atoms Interacting with a Cavity Field

“…Furthermore, the dynamics of entanglement of two isolated Jaynes-Cummings Hamiltonian have been studied, where the first atom interacting only with one cavity field and the second atom interacting with another cavity [16]. In addition, the entanglement of linear atom-field interaction has been illustrated under the influence of Kerr-like medium [17], degenerate parametric amplifier [18], vibrating graphene membrane [19,20], external classical field [21], damping terms [22], Stark shift terms [23], and deformed cavity field [24]. A double Jaynes-Cummings models in the presence of non-Markovian environments [25], and Kerr medium [26] have been developed to simulate the entanglement dynamics.…”