scholarly journals Semiclassical stability analysis of a two-photon laser including spatial variation of the cavity field

2001 ◽  
Vol 15 (3) ◽  
pp. 385-391 ◽  
Author(s):  
Mahmoud Abdel-Aty ◽  
Abdel-Shafy F. Obada
Keyword(s):  
Stability Analysis ◽  
Spatial Variation ◽  
Cavity Field ◽  
Two Photon

scholarly journals CAVITY FIELD SPECTRA OF THE TWO-ATOM TWO-PHOTON JAYNES-CUMMINGS MODEL

1999 ◽  
Vol 48 (9) ◽  
pp. 1650
Author(s):  
GAO YUN-FENG ◽  
FENG JIAN ◽  
SONG TONG-QIANG
Keyword(s):  
Cavity Field ◽  
Two Photon

Intrinsic decoherence effects on quantum dynamics of the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation

2007 ◽  
Vol 85 (10) ◽  
pp. 1071-1096 ◽  
Author(s):  
M H Naderi
Keyword(s):  
Quantum Dynamics ◽  
Cavity Field ◽  
Intrinsic Decoherence ◽  
Two Photon ◽  
Field Coupling ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Model Hamiltonian ◽  
Atomic Dipole ◽  
Atomic Population Inversion

In this paper, we study the influence of the intrinsic decoherence on quantum statistical properties of a generalized nonlinear interacting atom–field system, i.e., the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation. The model contains the nonlinearities of both the cavity–field and the atom–field coupling. Until now, very few exact solutions of nonlinear systems that include a form of decoherence have been presented. The main achievement of the present work is to find exact analytical solutions for the quantum dynamics of the nonlinear model under consideration in the presence of intrinsic decoherence. With the help of a supersymmetric transformation, we first put the model Hamiltonian into an appropriate form for treating the intrinsic decoherence. Then, by applying the superoperator technique, we find an exact solution of the Milburn equation for a nondegenerate two-photon f-deformed Jaynes–Cummings model. We use this solution to investigate the effects of the intrinsic decoherence on temporal evolution of various nonclassical properties of the system, i.e., atomic population inversion, atomic dipole squeezing, atom–field entanglement, sub-Poissonian photon statistics, cross correlation between the two modes and quadrature squeezing of the cavity field. Particularly, we compare the numerical results for three different cases of two-mode deformed, one-mode deformed, and nondeformed Jaynes–Cummings models. PACS Nos.: 42.50.Ct, 42.50.Dv, 03.65.Yz

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.

Higher-order squeezing oscillations of the single-mode cavity field interacting with a three-level radiator

2017 ◽  
Vol 15 (08) ◽  
pp. 1740012
Author(s):  
V. I. Koroli ◽  
S. Palistrant ◽  
A. Nistreanu
Keyword(s):  
Exact Analytical Solution ◽  
Single Mode ◽  
Vacuum State ◽  
Higher Order ◽  
Initial Moment ◽  
Cavity Field ◽  
Two Photon ◽  
State Formula ◽  
Number Formula ◽  
Single Mode Cavity

We study the two-photon interaction between a three-level equidistant radiator (atom, molecule) with different dipole transitions and the single-mode cavity field. It is supposed that the three-level radiator is laser cooled and trapped into the ground vibrational state, in which the vibrational quantum number [Formula: see text]. In the proposed two-photon Jaynes–Cummings model (JCM) of a three-level atom at the initial moment [Formula: see text], the quantized cavity field is prepared in the squeezed vacuum state and the three-level radiator in the first excited state [Formula: see text]. By using the exact analytical solution for the state-vector of the coupled atom-field system, the amplitude-squared squeezing of the quantized cavity field is examined as a function of the [Formula: see text] and [Formula: see text] parameters. In this situation, higher-order squeezing has the tendency towards oscillations, but the exact periodicity of these oscillations is violated by the analogy with the second-order squeezing.

TWO-PHOTON QUANTUM-STATISTICAL PROPERTIES OF THE SINGLE-MODE CAVITY FIELD INTERACTING WITH A PAIR OF COLD ATOMS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 179-186 ◽  
Author(s):  
V. I. KOROLI
Keyword(s):  
Cold Atoms ◽  
Exact Analytical Solution ◽  
Single Mode ◽  
Initial Moment ◽  
Cavity Field ◽  
Two Photon ◽  
Squeezed Vacuum ◽  
Level Atom ◽  
Quantum Statistical ◽  
Single Mode Cavity

The interaction between the pair of cold two-level atoms and the single-mode cavity field is investigated. The two-level atoms in the pair are supposed to be indistinguishable. This problem generalizes the two-photon Jaynes-Cummings model of a single two-level atom interacting with the squeezed vacuum. The model of the pair of indistinguishable two-level atoms is equivalent to the problem of the equidistant three-level radiator with equal dipole moment matrix transition elements between the adjacent energy levels. Supposing that at the initial moment the field is in the squeezed vacuum state we obtain the exact analytical solution for the atom-field state-vector. By using this solution the quantum-statistical and squeezing properties of the radiation field are investigated. The obtained results are compared with those for the single two-level atom system. We observe that in the model of the pair of cold two-level atoms the exact periodicity of the squeezing revivals is violated by the analogy with the single two-level atom one.

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