DIAGONALIZATION OF A HAMILTONIAN DESCRIBING A SINGLE TWO-LEVEL ATOM INTERACTING WITH A TWO MODE AMPLIFIER

2007 ◽  
Vol 21 (02) ◽  
pp. 211-220 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Basis Set ◽  
Single Atom ◽  
Two Photon ◽  
Level Atom ◽  
Probability Densities ◽  
Physical Phenomena

A Hamiltonian which describes the interaction of a single atom with two photon modes is introduced. It is shown that the Hamiltonian can be diagonalized in a particular basis. The energies and an eigenvector basis set are obtained. Some quasi-probability densities are calculated using amplitudes determined with respect to the rotated basis. Some of the physical phenomena which are manifested in the calculations are discussed.

Two-photon emission spectrum of a two-level atom in an ideal cavity

1994 ◽  
Vol 49 (5) ◽  
pp. 4009-4015 ◽  
Author(s):  
Lin-sheng He ◽  
Xun-li Feng
Keyword(s):  
Emission Spectrum ◽  
Photon Emission ◽  
Two Photon ◽  
Level Atom

scholarly journals ANTIBUNCHING EFFECT OF TWO PHOTON FLUORESCENT LIGHT FOR A TWO LEVEL ATOM IN A SQUEEZED VACUUM

1997 ◽  
Vol 46 (9) ◽  
pp. 1718
Author(s):  
FENG XUN-LI ◽  
HE LIN-SHENG ◽  
LIU YONG-LIANG
Keyword(s):  
Fluorescent Light ◽  
Two Photon ◽  
Squeezed Vacuum ◽  
Level Atom ◽  
Antibunching Effect

EMISSION SPECTRUM OF A TWO-LEVEL ATOM IN AN OPTOMECHANICAL CAVITY

2013 ◽  
Vol 27 (31) ◽  
pp. 1350226
Author(s):  
JI HUI TENG ◽  
HONG FU WANG ◽  
XUE XI YI
Keyword(s):  
Emission Spectrum ◽  
Single Atom ◽  
Coupling Constant ◽  
Cavity Field ◽  
First Order ◽  
Level Atom ◽  
Optomechanical Cavity ◽  
Cavity Mirror

The emission spectrum of a single atom inside an optomechanical cavity is studied in this paper. Our model consists of a single two-level atom coupled to a cavity with a moving end mirror. We numerically calculate the emission spectrum of the atom, taking the effect of the moving mirror into account. The dependence of the spectrum peak on the coupling between the moving mirror and the cavity field is analyzed. For weak cavity-mirror couplings, we expand the spectrum up to the first order of the coupling constant.

Isotopically selective two-photon excitation of a three-level atom

1983 ◽  
Vol 13 (10) ◽  
pp. 1341-1346
Author(s):  
A G Bakhtadze ◽  
V M Vetsko ◽  
Andrei N Starostin ◽  
T R Khukhunashvili
Keyword(s):  
Two Photon ◽  
Level Atom ◽  
Photon Excitation ◽  
Two Photon Excitation

TWO-LEVEL ATOM UNDERGOING TWO PHOTON TRANSITION IN A QUANTIZED FIELD: THE FLUORESCENT SPECTRUM

1992 ◽  
Vol 06 (12) ◽  
pp. 729-736
Author(s):  
AMITABH JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Fluorescence Spectrum ◽  
Two Photon ◽  
Photon Transition ◽  
Dressed States ◽  
Level Atom ◽  
Coherent Field ◽  
Fluorescent Spectrum ◽  
Qualitative Nature ◽  
Quantized Field ◽  
The Mean

The fluorescence spectrum produced by a two-photon Jaynes-Cummings model (JCM) has been analyzed using the infinity of transitions among the dressed states of its Hamiltonian. A large number of resonances in the spectra are observed which are sensitive to the mean photon numbers of the quantized coherent field. Also, the qualitative nature of these spectra are in contrast to that of the corresponding spectra of standard JCM.

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.

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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