Pyramidal Atomic Inversion

2007 ◽  
pp. 19-105 ◽  
Author(s):  
Joseph B. Lambert
Keyword(s):  
Atomic Inversion

scholarly journals Two-level atom in a cross cavity

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.

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

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.

INTENSITY DEPENDENT COUPLING HAMILTONIAN VIA MULTI-PHOTON INTERACTION IN A KERR MEDIUM

2003 ◽  
Vol 17 (30) ◽  
pp. 5795-5810 ◽  
Author(s):  
R. A. ZAIT
Keyword(s):  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Field Mode ◽  
Atomic Inversion ◽  
Two Photon ◽  
Level Atom ◽  
The One ◽  
Q Function ◽  
Quasiprobability Distribution

We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the one- and two-photon processes on the evolution of these characteristics are analyzed.

ON THE EIGENOPERATOR OF LOGARITHMIC STATES

1995 ◽  
Vol 09 (24) ◽  
pp. 1565-1576
Author(s):  
P. ANANTHA LAKSHMI
Keyword(s):  
Displacement Operator ◽  
Atomic Inversion ◽  
Initial States

The eigenoperator for the logarithmic states is constructed. It is shown that this can also be written in terms of a displacement operator. The Hamiltonian for which the logarithmic state is an eigenstate is constructed. The Hamiltonian for the Jaynes–Cummings model is constructed using this new eigenoperator and the atomic inversion for the Jaynes–Cummings model is investigated for a variety of initial states of the field.

INTERACTION OF A THREE-LEVEL ATOM WITH A SINGLE-MODE FIELD IN A TWO PHOTON RESONANT CAVITY

2011 ◽  
Vol 25 (03) ◽  
pp. 417-431
Author(s):  
DEBRAJ NATH ◽  
P. K. DAS
Keyword(s):  
Electromagnetic Field ◽  
Resonant Cavity ◽  
Single Mode ◽  
Atomic Level ◽  
Atomic Inversion ◽  
Cooperative Effects ◽  
Two Photon ◽  
Mode Field ◽  
Level Atom ◽  
Successive Passage

In this paper we discuss an extension of Jaynes–Cummings model by adding a further atomic level to support a second resonance and cooperative effects in multi-atom systems. A successive passage of a three-level atom in the V configuration interacting with one quantized mode of electromagnetic field in a cavity will be considered to study atomic inversion and entropy evolution of the state.

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