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Laser Physics

Damping effect in the interaction of a Ξ-type three-level atom with a single-mode field: Caldirola–Kanai approach

Roohollah Daneshmand, Mohammad Kazem Tavassoly

Published May 13, 2016• 7 citations
Publisher

Abstract

Abstract In this paper the damped interaction between a Ξ -type three-level atom and a quantized single-mode cavity field is studied, where the Hamiltonian of the field is performed based on the Caldirola–Kanai damping Hamiltonian . The amplitude probabilities of the atom–field entangled state associated with the system considered have been explicitly deduced and the time evolution of a few of its physical properties is discussed. In detail, the influence of the damping parameter on the temporal behavior of the linear entropy, sub-Poissonian statistics as well as quadrature and amplitude squared squeezing is numerically investigated. Besides these, as an additional purpose of the paper, the effects of the initial field type as well as the initial mean photon number of the field on the above-mentioned properties are evaluated numerically. It is shown that via adjusting the damping parameter, initial field and its intensity, one can tune the degree of entanglement and other nonclassicality features.

DOI
10.1088/1054-660x/26/6/065204

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Abstract In this paper the damped interaction between a Ξ -type three-level atom and a quantized single-mode cavity field is studied, where the Hamiltonian of the field is performed based on the Caldirola–Kanai damping Hamiltonian . The amplitude probabilities of the atom–field entangled state associated with the system considered have been explicitly deduced and the time evolution of a few of its physical properties is discussed. In detail, the influence of the damping parameter on the temporal behavior of the linear entropy, sub-Poissonian statistics as well as quadrature and amplitude squared squeezing is numerically investigated. Besides these, as an additional purpose of the paper, the effects of the initial field type as well as the initial mean photon number of the field on the above-mentioned properties are evaluated numerically. It is shown that via adjusting the damping parameter, initial field and its intensity, one can tune the degree of entanglement and other nonclassicality features.
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.
The interaction between two Ξ -type three-level atoms and a single-mode cavity field in the intensity-dependent coupling regime has been studied. The exact analytical solution of the wave function for the considered atom–field system has been obtained by using the Laplace transform technique when the atoms are initially prepared in the excited state and the field is in a coherent state. The presented structure has the potential ability to generate various new classes of entangled states depending on the chosen nonlinearity function. Two forms of intensity-dependent coupling as well as constant coupling are considered. Some important physical properties such as quantum entanglement, quantum statistics and quadrature squeezing of the corresponding states are investigated, numerically, by which the nonclassicality features of the produced entangled state are well-established. In particular, the effect of intensity-dependent coupling on the degree of entanglement between different bipartite partitions of the system (that is, 'atom atom'-field and 'field atom'-atom) using the linear entropy is investigated. At the same time, by paying attention to the negativity as a useful measure, the entanglement between the two atoms is studied in detail.
In this paper, we study the interaction between a three-level atom and a quantized single-mode field with 'intensity-dependent coupling' in a 'Kerr medium'. The three-level atom is considered to be in a Λ-type configuration. Under particular initial conditions, which may be prepared for the atom and the field, the dynamical state vector of the entire system will be explicitly obtained, for the arbitrary nonlinearity function f(n) associated with any physical system. Then, after evaluating the variation of the field entropy against time, we will investigate the quantum statistics as well as some of the nonclassical properties of the introduced state. During our calculations we investigate the effects of intensity-dependent coupling, Kerr medium and detuning parameters on the depth and domain of the nonclassicality features of the atom–field state vector. Finally, we compare our obtained results with those of V -type three-level atoms.
In this paper, we present the interaction between a five-level [Formula: see text]-configuration atom and a two-mode quantized field in the presence of the damping with the nonlinearity. According to the generalized nonlinear Jaynes–Cummings model (JCM) and the analytical solution of the Schrödinger equation, the general formula of the wave function for this system under special conditions, where the atom (the field) is initially prepared in the excited state (coherent state), has been found. Under some particular conditions, the five-level [Formula: see text]-type atom can be reduced to the three-level [Formula: see text]-type atom. Some physical aspects of the atom-field entangled state showing the entanglement degree, such as the field entropy. Moreover, we evaluate some of their non-classical statistical aspects such as atomic inversion. The effects of the physical parameters such as a Kerr medium, detuning parameter and the intensity-dependent coupling on the temporal behavior of the latter mentioned non-classical statistical aspects have been explored. We show that by choosing the evolved parameters in the interaction process, each of the above non-classical statistical features can be treated. We found that the parameters have an important influence on the properties of these phenomena.
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 investigate the evolution of the atomic quantum entropy and the atom-field entanglement in a system of a Ξ-configuration three-level atom interacting with a single-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system, we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analyzed.