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انجمن اپتیک و فوتونیک ایران

Optimum coupling between a Ʌ-type three-level atom and a single-mode nonlinear field

M Rastegarzadeh, Mohammad Kazem Tavassoly

Published Mar 15, 2015• 0 citations
OpenAlex

Abstract

Based on the generalization of the Jaynes-Cummings model, we study the interaction between a Ʌ-type three-level atom and a single-mode radiation field in an intensity-dependent regime, in which the effect of Kerr-like medium is obtained by using an appropriate deformation function. Via the periodic condition, we will find an optimum value of coupling constant in resonance condition for which the atom suffers transitions with maximum (unit) probability, periodically.

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Based on the generalization of the Jaynes-Cummings model, we study the interaction between a Ʌ-type three-level atom and a single-mode radiation field in an intensity-dependent regime, in which the effect of Kerr-like medium is obtained by using an appropriate deformation function. Via the periodic condition, we will find an optimum value of coupling constant in resonance condition for which the atom suffers transitions with maximum (unit) probability, periodically.
In this paper, we investigate the interaction between a vee-type three-level atom and a single mode of the electromagnetic field in the presence of a nonlinear Kerr-like medium and an intensity-dependent coupling. We have elucidated the system by a nonlinear Hamiltonian constructed from the standard Jaynes–Cummings model by deforming the field operators and adding some nonlinear terms. Using the initial conditions that the atom is prepared in an excited state and the field is in a coherent state, the state vector of the entire system is determined analytically. The time evolution of nonclassical properties such as Mandel Q, quantum entanglement and position-momentum uncertainty relation (squeezing) of the field are investigated. The quasiprobability distributions are also computed for the resultant state. The effects of the detuning parameters, generalized Kerr medium and intensity-dependent coupling on the previous nonclassicality signs are analysed, in detail.
The Jaynes–Cummings Hamiltonian with deformed operators of the field is considered; as a particular case the Kerr-like medium is obtained via an appropriate deformation function. We find that, for an appropriate choice of the parameter of the deformation function, states of the uncoupled basis with a selected fixed number of quanta are in resonance, providing a maximum probability of transition of the atom for these states. Under this condition one may find an appropriate value of the coupling constant such that complete revivals are obtained.
By using the method of eigenvectors, the atomic populations and emission spectrum are investigated in a system that consists of a cascade three-level atom resonantly interacting with a single-mode field in a Kerr-like medium. The atom and the field are assumed to be initially in the upper atomic state and the Fock state, respectively. Results for models with intensity-dependent coupling and with intensity-independent coupling are compared. It is found that both population dynamics and emission spectrum show no indications of atom-field decoupling in the strong field limit if the intensity-dependent coupling is taken into account.
Abstract The aim of this paper is to study the interaction between a single mode field and four-level atom in N - configuration under nonlinear medium effect. The non-resonance case and the deformation forms in the coupling interaction between the field and the atom are included. The wave function of the proposed system is obtained when the atom is prepared initially in its excited state while the field is prepared in a coherent state. The effect of the deformation and nonlinear medium on the temporal behavior of collapse-revival, field entropy and geometric phase of the system are examined. The results show that the presence of the intensity of the coupling interaction and the non-linear medium have an important influence on the properties of these phenomena.