Two-photon Jaynes–Cummings model: a two-level atom interacting with the para-Bose field

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.

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Second harmonics conversion and primary and second harmonics echoes from a resonant two-photon three-level atom system

Optics Communications ◽

10.1016/0030-4018(94)90614-9 ◽

1994 ◽

Vol 113 (1-3) ◽

pp. 272-282

Author(s):

Jamal T. Manassah ◽

Barry Gross

Keyword(s):

Two Photon ◽

Level Atom ◽

Atom System

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Two-photon interference spectra at the sum-frequency generation of a bichromatic field interacting with a three-level atom

Applied Physics B ◽

10.1007/s00340-003-1162-2 ◽

2003 ◽

Vol 76 (8) ◽

pp. 839-850

Author(s):

C. Mavroyannis

Keyword(s):

Sum Frequency Generation ◽

Sum Frequency ◽

Two Photon ◽

Level Atom ◽

Bichromatic Field ◽

Frequency Generation

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

International Journal of Modern Physics B ◽

10.1142/s0217979203023392 ◽

2003 ◽

Vol 17 (30) ◽

pp. 5795-5810 ◽

Cited By ~ 5

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.

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On the degenerate and non-degenerate two-photon interaction between a two-level atom and a quantized two-modes: Entanglement and Pancharatnam phase

Results in Physics ◽

10.1016/j.rinp.2017.09.017 ◽

2017 ◽

Vol 7 ◽

pp. 4412-4418 ◽

Cited By ~ 2

Author(s):

Eman M.A. Hilal

Keyword(s):

Photon Interaction ◽

Pancharatnam Phase ◽

Two Photon ◽

Level Atom

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

International Journal of Modern Physics B ◽

10.1142/s0217979207035960 ◽

2007 ◽

Vol 21 (02) ◽

pp. 211-220 ◽

Cited By ~ 1

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.

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

International Journal of Modern Physics B ◽

10.1142/s021797921105802x ◽

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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