JAYNES-CUMMINGS MODEL WITH DISPLACED NUMBER STATES

1991 ◽  
Vol 05 (05) ◽  
pp. 797-814 ◽  
Author(s):  
V. BUŽEK ◽  
I. JEX ◽  
M. BRISUDOVÁ
Keyword(s):  
Time Evolution ◽  
Population Inversion ◽  
Emission Spectra ◽  
Cavity Field ◽  
Level Atom ◽  
Number State ◽  
Atomic Population Inversion

We investigate the dynamics of the Jaynes-Cummings model with the cavity field initially prepared in the displaced number state. The time evolution of the atomic population inversion, squeezing of the cavity field and the emission spectra from the two-level atom are studied.

A FOUR-LEVEL ATOM INTERACTING WITH A SINGLE-MODE CAVITY FIELD: DOUBLE Ξ-CONFIGURATION

2008 ◽  
Vol 22 (26) ◽  
pp. 2587-2599 ◽  
Author(s):  
N. H. ABDEL-WAHAB
Keyword(s):  
Coherent State ◽  
Time Evolution ◽  
Single Mode ◽  
Cavity Field ◽  
Field System ◽  
Input Field ◽  
Level Atom ◽  
Constants Of Motion ◽  
Q Function ◽  
Single Mode Cavity

In this article, the problem of a double Ξ-type four-level atom interacting with a single-mode cavity field is considered. The considered model describes several distinct configurations of a four-level atom. Also, this model includes the detuning parameters of the atom-field system. We obtain the constants of motion and the wavefunction is derived when the atom is initially prepared in the upper state. We used this model for computing a number of the field aspects for the considered system. As an illustration, the model is used for studying the time evolution of the Mandel Q-parameter, amplitude-squared squeezing phenomenon and Q-function when the input field is considered in a coherent state. The results show that these phenomena are affected by the presence of detuning parameters.

CONTROL OF COLLAPSE-REVIVAL PHENOMENON USING A TIME VARYING SQUEEZED FIELD

2011 ◽  
Vol 20 (02) ◽  
pp. 155-165 ◽  
Author(s):  
K. V. PRIYESH ◽  
RAMESH BABU THAYYULLATHIL
Keyword(s):  
Time Evolution ◽  
Frequency Modulation ◽  
Population Inversion ◽  
Light Field ◽  
Time Varying ◽  
Light Atom ◽  
Squeezed Light ◽  
Level Atom ◽  
Time Varying Frequency ◽  
Atom Interaction

We have investigated the interaction of two level atom with time varying quadrature squeezed light field. Jaynes-Cummings model is used for solving the atom radiation interaction. Time evolution of the system for different squeezing parameter and phase have been studied. There are no well-defined revivals in population inversion when the squeezed phase is π and the squeezing parameter is greater than 0.5. Using a time varying frequency for the light field, it is found that the randomness of the population inversion and the collapse revival phenomena can be controlled. Frequency modulation of the field can thus be used as a tool for manipulating the squeezed light atom interaction.

INFLUENCE OF THE COUNTER-ROTATING TERMS ON THE RABI OSCILLATIONS IN THE POLYATOMIC JAYNES-CUMMINGS MODEL WITH CAVITY LOSSES FOR INITIAL FOCK-STATE FIELDS

1996 ◽  
Vol 10 (26) ◽  
pp. 1311-1322
Author(s):  
J. SEKE
Keyword(s):  
Dipole Moment ◽  
Time Evolution ◽  
Population Inversion ◽  
Photon Number ◽  
Numerical Results ◽  
Rabi Oscillations ◽  
Virtual Photons ◽  
Fock State ◽  
The Mean ◽  
Atomic Population Inversion

The significance of the counter-rotating terms in the polyatomic Jaynes-Cummings model with cavity losses is demonstrated. Numerical results for the time evolution of the atomic population inversion and dipole moment for an initial Fock-state field with different photon numbers are presented for various cavity dampings. The appearance of new steady states for the population inversion and the mean-photon number under the influence of the counter-rotating terms is pointed out. Namely, as is shown, the presence of “virtual photons”, produced by the counter-rotating terms, leads to these effects.

INFLUENCE OF THE COUNTER ROTATING TERMS ON THE SQUEEZING IN THE JAYNES–CUMMINGS MODEL FOR COHERENT AND SQUEEZED FIELDS

1994 ◽  
Vol 08 (07) ◽  
pp. 431-438
Author(s):  
J. SEKE
Keyword(s):  
Time Evolution ◽  
Significant Influence ◽  
Population Inversion ◽  
Numerical Results ◽  
Atomic Population Inversion

The significant influence of the counter rotating terms on the squeezing in the Jaynes–Cummings model is demonstrated. Numerical results for the time evolution of the atomic population inversion, and atomic and field squeezing parameters for initially coherent and squeezed fields are presented.

INTERACTION OF A TWO-LEVEL ATOM WITH A SQUEEZED DISPLACED NUMBER STATE

2007 ◽  
Vol 21 (16) ◽  
pp. 2723-2733
Author(s):  
GUILHERME C. DE OLIVEIRA ◽  
CÉLIA M. A. DANTAS ◽  
JOSÉ S. SALES
Keyword(s):  
Cavity Field ◽  
Level Atom ◽  
Number State ◽  
State Formula ◽  
Phase Optimization

We investigate the interaction of a two-level atom with a cavity field in a squeezed displaced number state: [Formula: see text]. It is shown that this state exhibits interesting features, while generalizing various particular results of the literature. Additional discussions about the influence of phase optimization of a state upon collapse and revivals effects are also considered.

INFLUENCE OF THE COUNTER-ROTATING TERMS ON THE RABI OSCILLATIONS AND SQUEEZING IN THE POLYATOMIC JAYNES-CUMMINGS MODEL WITH CAVITY LOSSES FOR INITIAL COHERENT FIELDS

1996 ◽  
Vol 10 (11) ◽  
pp. 487-496
Author(s):  
J. SEKE
Keyword(s):  
Dipole Moment ◽  
Time Evolution ◽  
Population Inversion ◽  
Photon Number ◽  
Steady States ◽  
Numerical Results ◽  
Rabi Oscillations ◽  
Coherent Field ◽  
The Mean ◽  
Atomic Population Inversion

The influence of the counter-rotating terms in the polyatomic Jaynes-Cummings model with cavity losses is investigated. Numerical results for the time evolution of the atomic population inversion, dipole moment, mean-photon number and atomic and field squeezing parameters for an initial coherent field are presented for different cavity dampings. As a consequence of the counter-rotating terms, the appearance of new steady states for the population inversion and the mean-photon number is pointed out.

DYNAMICAL STARK EFFECT IN AN AMPLITUDE MODULATED FIELD

1988 ◽  
Vol 02 (01) ◽  
pp. 457-468 ◽  
Author(s):  
A. JOSHI ◽  
R.R. PURI ◽  
S.V. LAWANDE
Keyword(s):  
Population Inversion ◽  
Stark Effect ◽  
Analytic Solution ◽  
Bloch Equations ◽  
Level Atom ◽  
Secular Approximation ◽  
Atomic Population Inversion

The analytic solution of the Bloch equations in the secular approximation for a two level atom driven off-resonance by an intense amplitude modulated field is presented. The dependence of the atomic population inversion on the longitudinal and transverse lifetimes is investigated.

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