GENERATION OF A NONLINEAR TWO-MODE STARK SHIFT VIA NONDEGENERATE RAMAN TRANSITION

In this contribution, a three level atom in interaction with a two-mode quantized electromagnetic field, initially prepared in an entangled two-mode coherent state, is considered. Through the elimination of an intermediate level using the adiabatic elimination method, a nonlinear Stark shift is introduced. The exact solution of the wave function in the Schrödinger picture is obtained. Some statistical aspects through the effective two-level atom interacting with the two-mode and multiphotons processess with the nonlinear Stark shift are presented. The results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy squeezing and variance squeezing. It has been shown that the system is sensitive to any change in the parameter representation of the Stark shift. General conclusions reached are illustrated by numerical results.

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ENTROPY AND ENTANGLEMENT OF THE SUPERPOSITIONS OF DISPLACED FOCK STATES WITH A TWO-LEVEL ATOM

International Journal of Modern Physics B ◽

10.1142/s0217979206033905 ◽

2006 ◽

Vol 20 (11n13) ◽

pp. 1269-1279

Author(s):

GAMAL M. ABD AL-KADER

Keyword(s):

Temporal Evolution ◽

Photon Number ◽

Time Dependent ◽

Kerr Medium ◽

Matrix Elements ◽

Atomic Inversion ◽

Fock States ◽

Level Atom ◽

Careful Investigation ◽

Photon Number Distribution

The properties of the displaced Fock states (DFS's) superpositions are reviewed. The interaction of these states with a two-level atom in cavity with the presence of additional Kerr medium is studied. Exact general matrix elements of the time-dependent operators of a Jaynes-Cummings model (JCM), in the presence of a Kerr medium, with these states are derived. The atomic inversion and photon number distribution are discussed. The quantum entropy and the entanglement of the atom-field are investigated. The exact results are employed to perform a careful investigation of the temporal evolution of the entropy. The connection between the field entropy and the collapses and revivals of the atomic inversion has been established. The general conclusions reached are illustrated by numerical results.

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

International Journal of Modern Physics B ◽

10.1142/s0217979209052224 ◽

2009 ◽

Vol 23 (09) ◽

pp. 2269-2283 ◽

Cited By ~ 4

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.

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

International Journal of Modern Physics B ◽

10.1142/s0217979209052807 ◽

2009 ◽

Vol 23 (15) ◽

pp. 3241-3254 ◽

Cited By ~ 4

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.

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ENTANGLEMENT OF A TWO-LEVEL ATOM INTERACTING WITH A NEW STRUCTURE OF A GENERALIZED NONLINEAR STARK SHIFT VIA Ξ CONFIGURATION

International Journal of Modern Physics B ◽

10.1142/s0217979211100898 ◽

2011 ◽

Vol 25 (19) ◽

pp. 2621-2636 ◽

Cited By ~ 2

Author(s):

E. M. KHALIL ◽

M. M. A. AHMED ◽

A.-S. F. OBADA

Keyword(s):

Optical Cavity ◽

Center Of Mass ◽

Single Mode ◽

Stark Shift ◽

Mass Motion ◽

Shift Parameter ◽

Atomic Inversion ◽

Level Atom ◽

Quantized Field ◽

Q Function

The problem of a two-level atom interacting with single mode cavity field is considered, however, the optical cavity is filled with new structure of a generalized nonlinear Stark shift via Ξ configuration. One starts with a three-level trapped atom interacting with the quantized field of center of mass motion thus a Hamiltonian for one-phonon process with nonlinearities is derived. Through the elimination of the intermediate level by using the adiabatic elimination method, we generate a new structure of effective Hamiltonian for a two-level atom with a nonlinear Stark shift. The temporal evolution of the atomic inversion is studied, we introduce that in the presence of the Stark shift parameter the atom leaves in a maximal entangled sate. We use the von Neuman entropy to measure the degree of entanglement between the atom and the field. After adding the nonlinear Stark shift the system never reaches the pure state. Also we study the Q-function for obtaining more information in phase space for this system. These aspects are sensitive to changes in the Stark shift parameter. The results shows that the effect of the nonlinearity in the Stark shift changes the quasiperiod of the field entropy and hence the entanglement between the particle and the field.

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Entropy squeezing and atomic inversion in the k -photon Jaynes—Cummings model in the presence of the Stark shift and a Kerr medium: A full nonlinear approach

Chinese Physics B ◽

10.1088/1674-1056/23/7/074203 ◽

2014 ◽

Vol 23 (7) ◽

pp. 074203 ◽

Cited By ~ 29

Author(s):

H R Baghshahi ◽

M K Tavassoly ◽

A Behjat

Keyword(s):

Stark Shift ◽

Kerr Medium ◽

Atomic Inversion ◽

Entropy Squeezing ◽

Nonlinear Approach

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Quantum Interference Effects on Information Phase Space and Entropy Squeezing

Entropy ◽

10.3390/e21020147 ◽

2019 ◽

Vol 21 (2) ◽

pp. 147 ◽

Cited By ~ 1

Author(s):

Abdel-Baset Mohamed ◽

Shoukry Hassan ◽

Rania Alharbey

Keyword(s):

Phase Space ◽

Quantum Interference ◽

Interference Effects ◽

Wehrl Entropy ◽

Atomic Inversion ◽

Entropy Squeezing ◽

Decay Channels ◽

Two Photon ◽

Level Atom ◽

Loss Of Coherence

Wehrl entropy and its density are used to investigate the dynamics of loss of coherence and information in a phase space for an atomic model of two-photon two-level atom coupled to different radiation reservoirs (namely, normal vacuum (NV), thermal field (TF) and squeezed vacuum (SV) reservoirs). Particularly, quantum interference (QI) effect, due to the 2-photon transition decay channels, has a paramount role in: (i) the atomic inversion decay in the NV case, which behaves as quantum Zeno and anti-Zeno decay effect; (ii) the coherence and information loss in the phase space; and (iii) identifying temporal information entropy squeezing. Results are also sensitive to the initial atomic state.

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Two-level atom in a cross cavity

Acta Universitaria ◽

10.15174/au.2013.559 ◽

2013 ◽

Vol 23 ◽

pp. 31-34

Author(s):

J. C. García-Melgarejo ◽

J. J. Sánchez-Mondragón ◽

K. J. Sánchez-Pérez ◽

O. S. Magaña-Loaiza

Keyword(s):

Wave Function ◽

Electromagnetic Fields ◽

Canonical Transformation ◽

Evolution Operator ◽

Atomic Inversion ◽

Time Evolution Operator ◽

Level Atom ◽

Weak Intensity ◽

Cavity Configuration ◽

Intensity Regime

In this work we propose a model to analyze the interaction of a two-level atom (TLA) placed in a cross cavity configuration interacting with two electromagnetic fields injected within the cavity. A canonical transformation for field operators is proposed to obtain effective Hamiltonian such as that of Jaynes-Cummings and we calculate the wave function via time-evolution operator. We present results for the atomic inversion for a state in the weak intensity regime.

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