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انجمن اپتیک و فوتونیک ایران

Position-Momentum Entropic Squeezing of a Three-Level Atom Interacting with a Bimodal Cavity Field

Mohammad Javad Faghihi, Mohammad Kazem Tavassoly, M. Bagheri Harouni

Published Feb 15, 2014• 0 citations
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Abstract

AbstractIn this paper, the interaction between a  type three-level atom and two quantized radiation fields is studied. The fields are simultaneously injected in a bichromatic cavity surrounded by a Kerr medium. By applying a canonical transformation, the explicit form of the wave function of the considered physical system is analytically evaluated. Finally, position-momentum entropic squeezing is examined.

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Journal of the Optical Society of America B•Dec 8, 2017•10 citations
AbstractIn this paper, the interaction between a  type three-level atom and two quantized radiation fields is studied. The fields are simultaneously injected in a bichromatic cavity surrounded by a Kerr medium. By applying a canonical transformation, the explicit form of the wave function of the considered physical system is analytically evaluated. Finally, position-momentum entropic squeezing is examined.
In this paper, we study the interaction between a ΛΛΛ-type three-level atom and two quantized electromagnetic fields which are simultaneously injected in a bichromatic cavity surrounded by a Kerr medium in the presence of the field-field interaction (parametric down conversion) and detuning parameters. By applying a canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom is studied through the evolution of the atomic population inversion. In addition, two different measures of entanglement between the tripartite system (three entities make the system: two field modes and one atom) i.e., von Neumann and linear entropy are investigated. Also, two kinds of entropic uncertainty relations, from which entropy squeezing can be obtained, are discussed. In each case, the influences of the detuning parameters and Kerr medium on the above nonclassicality features are analyzed via numerical results, in detail. It is illustrated that the amount of the above-mentioned physical phenomena can be tuned by choosing the evolved parameters, appropriately.
In this paper, the interaction between a Λ-type three-level atom and a two-mode cavity field is discussed. The detuning parameters and cross-Kerr nonlinearity are taken into account, and it is assumed that the atom–field coupling and Kerr medium are f-deformed. Even though the system seems complicated, the analytical form of the state vector of the entire system for the considered model is exactly obtained. The time evolution of nonclassical properties, such as quantum entanglement and position–momentum entropic uncertainty relation (entropy squeezing) of the field are investigated. In each case, the influences of the detuning parameters, generalized Kerr medium, and intensity-dependent coupling on the latter nonclassicality signs are analyzed in detail.
In this paper, we follow the model presented in our previous work [J. Opt. Soc. Am. B30, 1109 (2013)], in which the interaction between a Λ-type three-level atom and a quantized two-mode radiation field in a cavity in the presence of nonlinearities was studied. After giving a brief review of the procedure for obtaining the state vector of the atom-field system, we investigated some further interesting and important physical features of the whole system state, which are of particular interest to the quantum optics field of research, i.e., the number-phase entropic uncertainty relation (based on the two-mode Pegg–Barnett formalism) and a few of the nonclassicality signs that consist of sub-Poissonian statistics, Cauchy–Schwartz inequality, and two types of squeezing phenomena. During our presentation, the effects of intensity-dependent coupling, deformed Kerr medium, and the detuning parameters on the depth and domain of each of the mentioned nonclassical criteria of the considered quantum system are described in detail. The results show that each of the mentioned nonclassicality aspects can be obtained by appropriately choosing the related parameters.
We study the interaction of a three-level atom with two-mode cavity field containing a Kerr-like medium in this cavity. The atom is initially prepared in a momentum eigenstate and the field is in the squeezed state. The constants of motion and the wave function for the atomic system of Λ-configuration at any time t > 0 are obtained. Also, the momentum increment, the momentum diffusion and the field entropy are calculated. The analytic results are employed to perform some investigations of the temporal evolution of the momentum increment and the field entropy. The influence of the number operators, the detunings and/or the Kerr-like medium is analysed. It is shown that the addition of the Kerr medium and/or the detunings in the presence or absence of the number operators has an important effect on the properties of the momentum increment and of the field entropy. Finally, conclusions and some features and comments are given.
In this paper, we study the interaction between a moving Λ-type three-level atom and a single-mode cavity field in the presence of intensity-dependent atom–field coupling. After obtaining the state vector of the entire system explicitly, we study the nonclassical features of the system such as quantum entanglement, position–momentum entropic squeezing, quadrature squeezing and sub-Poissonian statistics. According to the obtained numerical results we illustrate that the squeezed period, the duration of entropy squeezing and the maximal squeezing can be controlled by choosing the appropriate nonlinearity function together with entering the atomic motion effect by the suitable selection of the field-mode structure parameter. Also, the atomic motion, as well as the nonlinearity function, leads to the oscillatory behaviour of the degree of entanglement between the atom and field.
In this paper, we investigate the squeezing properties of the output of an atom laser which consists of an ensemble of three-level atoms in Bose–Einstein condensate state interacting with two quantized and classical laser fields in the presence of a Kerr medium. We represent the Hamiltonian of the system under an electromagnetically induced transparency regime and using the adiabatical elimination process, in terms of angular momentum operators, and then deduce the corresponding analytical state vector with the help of the Dicke model. We give our attention to the evaluation of atomic and field squeezings via numerical calculations. The results show that nonlinear sources in the system, i.e., “interatom collisions” and “Kerr medium,” lead to squeezing of atoms and photons. In this respect, the squeezing values can be controlled by adjusting the strength of interatom collisions, the Kerr medium, as well as other involved parameters in the considered model. Also, the collapse-revival phenomenon as a pure quantum feature can be observed in the behavior of atomic squeezing, while only irregular oscillations appeared in the field squeezing.