Some features of the geometric phase and entanglement of three-level atom under cavity damping effects
- PDF / 1,773,551 Bytes
- 8 Pages / 595.276 x 790.866 pts Page_size
- 39 Downloads / 181 Views
ORIGINAL PAPER
Some features of the geometric phase and entanglement of three-level atom under cavity damping effects S Abdel-Khalek1,2*, Y S El-Saman3, I Mechai3 and M Abdel-Aty2,4 1
Department of Mathematics, Faculty of Science, Taif University, Taif, Saudi Arabia 2
Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
3
Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia
4
Institute of Basic and Applied Sciences, Egypt-Japan University, E-JUST, Alexandria, Egypt Received: 16 March 2019 / Accepted: 09 August 2019
Abstract: In this manuscript, we present a system consisting of a three-level atom interacting with optical field. We investigate qualitatively the entanglement and atomic (field) geometric phase under the effect of cavity damping. The atom–field entanglement is measured by the negativity. We show that these quantifiers depend strongly on the variations of the initial settings of the atom, and this exhibits substantial phenomena that depend on the cavity damping effect. Finally, we explore the link between the entanglement and atomic (field) geometric phase of different physical parameters within the presence and absence of the cavity damping effect. Keywords: Entanglement; Geometric phase; Cavity damping; Negativity PACS Nos.: 03.67.Bg; 42.50.Dv; 42.50.Pq
1. Introduction Specialists find that the interacting quantum systems with environment as an open quantum system (OQS) differ from the isolated ones, especially in characterizing the purity. Although the purity of OQS is changed from pure to mixed state under the effect of surroundings, the digitalization of these mixed states makes them stable when they are subjected to the interaction Hamiltonian. So these states are considered as a ‘‘chosen’’ basis [1]. Not only the decoherence is very important non-unitary property that characterizes the OQS, but also a quantum effect that makes the system lose its correlations. Recently, the effect of damped cavity field on the coherence and information dynamics of a K-type three-level atom interacting has been examined [2]. It has been shown that the Wehrl entropy and atomic information entropy are very sensitive to the cavity damping and the initial state. When we come to talk about quantum correlations, it leads us to talk about the entanglement phenomena.
*Corresponding author, E-mail: [email protected]
Entanglement describes the way that particles of matter can become correlated to predictably interact with each other regardless of how far apart they are. It has been considered as one of the most important resources in the quantum computations [3, 4], quantum teleportation [5], quantum coding [6, 7] and quantum teleporting [8]. The entanglement is not only the tool of measuring quantum correlations. The other forms of quantum correlations—quantum discord, EPR correlations and QS (Quantum Steering)— can be presented in physical systems. Such phenomena are discussed in numerous investigations. For instance, the discord was studied in [9]
Data Loading...
