Squeezing and Entanglement of a Two-Level Moving Atomic System for the Tavis-Cumming Model Via Atomic Coherence

• Published in: International journal of theoretical physics 2023-01, Vol.62 (2), Article 28
• Main Authors: Ramezani, R., Panahi, H.
• Format: Article
• Language: English
• Subjects: Elementary Particles; Mathematical and Computational Physics; Physics; Physics and Astronomy; Quantum Field Theory; Quantum Physics; Theoretical
• ISSN: 1572-9575; 1572-9575
• DOI: 10.1007/s10773-023-05285-0

In this paper, we consider a system of two moving two-level atoms of Tavis-Cumming model interacting with a single-mode coherent field in a lossless resonant cavity. We study the single-atom entropy squeezing, the linear entropy and the entanglement of system. We also use the Husimi distribution function and calculate the atomic Fisher information of system. Our numerical calculations indicate that the squeezing period, the squeezing time and the maximal squeezing can be controlled by appropriately choosing of the atomic motion and the field mode structure. The results show that the squeezing time and degree of entropy squeezing dependent on the initial atomic state of the atoms and the field mode. Moreover, it shows that choice of the coherent state is effective in entropy squeezing directions and by choosing the atomic coherent state as the initial state, the squeezing in x direction occurs while it was shown in Yan, Chin. Phys. B 19 (7), 074207 ( 2010 ) that only E S y can be seen. The numerical results show that the choice of the initial state as atomic coherence, the atomic motion and the field mode structure are also effective in entanglement and atomic Fisher information of the system and the atomic motion leads to a periodical time evolution of entanglement between atoms and the field and so there is a strongly dependent between the quantum entanglement and the motion factor of the atoms. We finally indicate a comparison between the atomic Fisher information and some other information entropies such as the Shannon entropy, squeezing and the linear entropy.