On the interaction between tripod-type four-level atom and one-mode field in the presence of a classical homogeneous gra
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On the interaction between tripod-type four-level atom and one-mode field in the presence of a classical homogeneous gravitational field AHMED SALAH1,∗ , L E THABET2 , T M EL-SHAHAT3 and N H ABD EL-WAHAB4 1 Department
of Mathematics and Theoretical Physics, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt 2 Department of Business Administration, Community College Khaybar, Taibah University, Madina, Kingdom of Saudi Arabia 3 Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt 4 Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt ∗ Corresponding author. E-mail: [email protected] MS received 19 December 2019; revised 22 June 2020; accepted 6 July 2020 Abstract. In this paper, we investigate the effects of gravitational field on the dynamical behaviour of nonlinear atom–field interaction. We consider a moving tripod-type four-level atom interacting with a single mode field in the presence of a classical homogeneous gravitational field. The analytical solution of the model is calculated by using the Schrödinger equation for a coherent electromagnetic field and when the atom is in its excited state. The influence of the detuning parameter and the classical homogeneous gravitational field on the temporal behaviour of atomic inversion, Mandel Q-parameters, purity of the atomic system and concurrence is studied. Our proposal has many advantages over the previous optical schemes and can be realised in several multiple experiments, such as quantum gravity. The results show that the gravity parameter has an important effect on the properties of these phenomena. Finally, conclusions and some features and comments are given. Keywords. Four-level atom; classical homogeneous gravitational field; atomic inversion; Mandel Q-parameters; purity; concurrence. PACS Nos 03.65.Ge; 32.80.−t; 42.50.Vk
1. Introduction The interaction between the quantised electromagnetic field and a two-level atom is one of the important studies in quantum optics. Under the rotating wave approximation (RWA), the model, which is called the Jaynes-Cummings model (JCM), of a two-level atom and a single mode of the field is solvable [1]. This model has been studied theoretically and experimentally by many researchers. For example, a single two-level atom or N-level atom and one mode or N modes were studied theoretically [2,3]. Experimentally, the JCM has been realised through a superconducting cavity and Rydberg atoms [4–6]. The fluctuations of the driven JCM by an external classical field incoherent state have been studied in [7]. A system of N two-level atoms in a cavity driven by a strong classical field have been demonstrated in [8]. 0123456789().: V,-vol
Another significant dressed state for the dynamics of a moving two-level atom interacting with a quantised cavity field by taking into account the Roentgen interaction is discussed in [9,10]. In all these studies devoted to the JC model with atomic motion, the influence of the gravitational field is
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