A generalized statistical N-level J-C model

Li, Xiao-shen; Zhu, Shi-Yao

doi:10.1016/0378-4371(85)90132-3

Cited by 21 publications

(15 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(22)). This conclusion coincides with that arising from the results for the model of Li and Zhu [19] ; namely, the participation of the highfrequency branch of oscillations in the fundamental level population decreases as the number of levels increases.…”

Section: Introductionsupporting

confidence: 90%

“…The envelopes of these oscillations collapse to zero and the collapse time is greater for the four-level atom. The above conclusions are in qualitative agreement with the results of Li and Zhu [19]. Strictly, they considered an N-level (N -l)-mode system with common upper level and examined the effect of spontaneous transitions to N -2 lower levels on the dynamical behaviour of the level populations and photon numbers.…”

Section: Introductionsupporting

confidence: 86%

See 1 more Smart Citation

The dynamics of a four-level three-mode system. Operator solution

Kozierowski

Shumovsky

1987

J. Phys. France

View full text Add to dashboard Cite

2014 Dans l'approximation dipolaire et dans l'approximation du champ tournant, on donne les solutions pour les opérateurs correspondant aux populations des niveaux et aux nombres de photons. Les résultats numériques pour l'évolution dans le temps des populations des niveaux, dans le cas de modes de pompage 1 et 3 initialement cohérents (le mode 2 étant initialement vide), sont donnés et comparés aux résultats pour un atome à trois niveaux dans les configurations en échelle et en lambda. Abstract. 2014 In the dipole and rotating wave approximation the operator solutions for the level populations and photon numbers are found. The numerical results for the time-evolution of the level populations for the case of initially coherent pumping modes 1 and 3 (mode 2 initially in vacuum) are reported and compared with those for a three-level atom in the ladder and lambda configurations.

show abstract

Section: Introductionsupporting

confidence: 90%

Section: Introductionsupporting

confidence: 86%

The dynamics of a four-level three-mode system. Operator solution

Kozierowski

Shumovsky

1987

J. Phys. France

View full text Add to dashboard Cite

show abstract

“…The atomic operators ( a,b ) are the genarators of the unitary group U(N) [19]. They commute with the field operator (R ), and they satisfy the following relation:…”

Section: The Model and The Wave Functionmentioning

confidence: 99%

“…In particular, under the resonance condition = , which was considered in earlier studies [7,[19][20][21], the model takes the form:…”

Section: The Model and The Wave Functionmentioning

confidence: 99%

N-level Atom in a Momentum Eigenstate Interacting with an (N− 1) Mode Cavity Field

Abdel-Wahab

2005

Phys. Scr.

View full text Add to dashboard Cite

We assume that an N-level moving atom interacts with an (N − 1) mode electromagnetic cavity field. The model includes the detuning and the intensitydependent coupling. The constants of motion and the wave function for the atomic system is obtained. Some statistical aspects of the considered atomic system such as momentum increment and momentum diffusion have been calculated. The influence of the initial mean photon number, the detuning parameter and the intensity dependent coupling on the momentum increment are investigated when the atom is initially in excited state and the field is in a squeezed state. It is found that the momentum of the atom is unchanged for large initial mean photon number.

show abstract

“…The interaction of n − 1 modes in a radiation field with one n-level atom in the so-called Λ configuration is described by the following approximate quantum Hamiltonian [1][2][3][4][5][6]:…”

Section: Introductionmentioning

confidence: 99%

Modifiedn-level,n− 1-mode Tavis–Cummings model and algebraic Bethe ansatz

Skrypnyk¹

2017

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Using the quantum group technique we construct a one-parametric family of integrable modifications of the n-level, n − 1 mode Tavis-Cummings Hamiltonian possessing an additional Stark-type term. We show that in the 'quasiclassical' limit the constructed Hamiltonian transforms into the integrable Hamiltonian of the quantum n-level, n − 1 mode Tavis-Cummings model with the equal interaction strengths considered in Skrypnyk ( 2008

show abstract

A generalized statistical N-level J-C model

Cited by 21 publications

References 6 publications

The dynamics of a four-level three-mode system. Operator solution

The dynamics of a four-level three-mode system. Operator solution

N-level Atom in a Momentum Eigenstate Interacting with an (N− 1) Mode Cavity Field

Modifiedn-level,n− 1-mode Tavis–Cummings model and algebraic Bethe ansatz

Contact Info

Product

Resources

About