Interaction of a three-level atom and a field with a time-varying frequency in the context of triangular well potentials: An exact treatment. (October 2020)

• Record Type: Journal Article
• Authors: Raffah, Bahaaudin; Berrada, K.; Abdel-khalek, S.; Khalil, E.M.; Wahiddin, Mohamed Ridza; Al-Hadeethi, Yas
• Is Part Of: Chaos, solitons and fractals. Volume 139(2020)
• Publication Date: 2020-10
• Subjects: Three-level atom -- Triangular well potential -- Time-varying frequency -- Nonlocal correlation -- Fisher information -- Statistical properties; 03.65.Yz -- 03.65.Vf -- 03.67.-a -- 03.65.Ta; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.109784
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Quantum dynamics of a three-level coupled to a single-mode field whose frequency evolves with the time in the context of triangular potentials. Equation of motion with rotating wave approximation. Quantum measurements. Time evolution of the non-classical and nonlocal properties. Geometric phase of the atom-field state with frequency evolves with the time. Abstract: We introduce a model of interaction between a three-level atom (3LA) and a one-mode field whose frequency evolves with the time in the context of triangular potentials. We consider a new class of cat states described as a superposition of the coherent states that are associated with these kinds of potentials. Mathematical and physical consequences of the obtained results are analyzed and discussed in detail by using the exact analytical treatment of the quantum system-state at subsequent times. We investigate the nonlocal and nonclassical properties of different system states in terms of the main parameters of the model. Interestingly, we present the dynamical behavior of the entanglement, second order correlation function, quantum Fisher information, and geometric phase of the considered bipartite quantum system. We show that the physical quantities for the proposed scheme are very sensitive through the choice of the time-varying frequency of the fields, at either coherent states or their superposition, and we compare the results to the case of fields that are associated to harmonic well potentials. Finally, we explore the relationship and dependence of the physical quantifiers on the main parameters of the model.