Emission spectrum for a multi-photon Ξ-type three-level atom driven by a binomial field with nonlinearities

2015 ◽  
Vol 93 (11) ◽  
pp. 1375-1381
Author(s):  
A.A. Eied
Keyword(s):  
Emission Spectrum ◽  
Single Mode ◽  
Field Coupling ◽  
Mode Field ◽  
Dressed States ◽  
Level Atom ◽  
Binomial State ◽  
Analytical Expressions

A treatment of a multi-photon Ξ-type three-level atom interacting with a single-mode field in a cavity, taking explicitly the existence of forms of nonlinearities of both the field and the intensity-dependent atom–field coupling into account. Analytical expressions of the emission spectrum are presented using the dressed states of the system. The characteristics of the emission spectrum, considering the field to be initially in a binomial state, are exhibited. The effects of the photon multiplicities, mean number of photons, detuning, and the nonlinearities on the spectrum are investigated.

scholarly journals A Treatment of the Absorption Spectrum for a Multiphoton -Type Three-Level Atom Interacting with a Squeezed Coherent Field in the Presence of Nonlinearities

2011 ◽  
Vol 2011 ◽  
pp. 1-11
Author(s):  
F. K. Faramawy
Keyword(s):  
Absorption Spectrum ◽  
Photon Number ◽  
Single Mode ◽  
Field Coupling ◽  
Multiphoton Transition ◽  
Mode Field ◽  
Dressed States ◽  
Level Atom ◽  
Coherent Field ◽  
Intensity Dependent Coupling

We study the interaction of a three-level atom with a single mode field through multiphoton transition in a cavity, taking explicitly into account the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. The analytical forms of the absorption spectrum is calculated using the dressed states of the system. The effects of photon multiplicities, mean photon number, detuning, Kerr-like medium, and the intensity-dependent coupling functional on the absorption spectrum are analyzed.

ENTANGLEMENT OF A GENERAL FORMALISM Ξ-TYPE THREE-LEVEL ATOM INTERACTING WITH A SINGLE-MODE FIELD IN THE PRESENCE OF NONLINEARITIES

2009 ◽  
Vol 23 (09) ◽  
pp. 2269-2283 ◽  
Author(s):  
A.-S. F. OBADA ◽  
A. A. EIED ◽  
G. M. ABD AL-KADER
Keyword(s):  
Unitary Operator ◽  
Temporal Evolution ◽  
Initial Density ◽  
Photon Number ◽  
Single Mode ◽  
Field Coupling ◽  
Mode Field ◽  
Level Atom ◽  
The Mean ◽  
Careful Investigation

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.

ENTANGLEMENT OF A GENERAL FORMALISM Λ-TYPE THREE-LEVEL ATOM INTERACTING WITH A SINGLE-MODE FIELD IN THE PRESENCE OF NONLINEARITIES

2009 ◽  
Vol 23 (15) ◽  
pp. 3241-3254 ◽  
Author(s):  
A.-S. F. OBADA ◽  
A. A. EIED ◽  
G. M. ABD AL-KADER
Keyword(s):  
Unitary Operator ◽  
Temporal Evolution ◽  
Initial Density ◽  
Photon Number ◽  
Single Mode ◽  
Field Coupling ◽  
Mode Field ◽  
Level Atom ◽  
The Mean ◽  
Careful Investigation

We investigate the evolution of the atomic quantum entropy and the atom–field entanglement in a system of a Λ-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.

MOVING FOUR-LEVEL ATOM INTERACTING WITH A SINGLE-MODE FIELD WITH INTENSITY DEPENDENT COUPLING

2004 ◽  
Vol 18 (20n21) ◽  
pp. 2901-2914
Author(s):  
R. A. ZAIT
Keyword(s):  
Photon Number ◽  
Single Mode ◽  
Cavity Field ◽  
Field Coupling ◽  
Mode Field ◽  
Level Atom ◽  
The Mean ◽  
Reduced Density ◽  
Field Wave ◽  
Intensity Dependent Coupling

We study the interaction of a moving four-level atom with a single mode cavity field. Involving intensity dependent coupling, the atom-field wave function and the reduced density matrix of the field are obtained when the atom is initially prepared in a coherent superposition of the upper and ground states and the field is initially in a coherent state. The influence of the intensity dependent atom-field coupling and of the detuning on the collapse and revival phenomenon of the time evolution of statistical aspects, such as the mean photon number, the second-order correlation function of the field, the momentum increment and momentum diffusion, are investigated. It is found that, for the nonresonant case, the detuning between the field and the atom has a significant influence which leads to increasing the collapse time with decreasing amplitude. Numerical computations and discussion of the results are presented.

Fluorescence Spectrum of an Atom Interacting with a Quantized Cavity Field with Arbitrary Nonlinearities

2003 ◽  
Vol 02 (01n02) ◽  
pp. 49-63 ◽  
Author(s):  
Mahmoud Abdel-Aty ◽  
Tarek M. El-Shahat ◽  
Abdel-Shafy F. Obada
Keyword(s):  
Fluorescence Spectrum ◽  
Coherent States ◽  
Single Mode ◽  
Analytic Form ◽  
Cavity Field ◽  
Field Coupling ◽  
Field System ◽  
Mode Field ◽  
Dressed States ◽  
Jc Model

We present a detailed theory of a general formalism of a nonlinear JC-model. In particular we explicitly take into account forms of nonlinearities of both the field and the intensity-dependent atom-field coupling and study the properties of the fluorescence spectrum in this system. The exact solution for time-dependence of the atom-field system is obtained, by means of which we analyze the analytic form of the fluorescence spectrum produced by an atom in an ideal cavity using the transitions among the dressed states of the system. We investigate the influences of the nonlinearities on the fluorescence spectrum, for initial squeezed, thermal and coherent states. It is shown that features of the fluorescence spectrum are significantly influenced by the kinds of nonlinearities of the single-mode field.

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