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.

The influence of the classical homogenous gravitational field on interaction of a three-level atom with a single mode cavity field

2015 ◽  
Vol 29 (29) ◽  
pp. 1550175 ◽  
Author(s):  
N. H. Abd El-Wahab ◽  
Ahmed Salah
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Photon Number ◽  
Single Mode ◽  
Temporal Behavior ◽  
Cavity Field ◽  
Text Type ◽  
Level Atom ◽  
The Mean ◽  
Single Mode Cavity

We study the interaction between a single mode electromagnetic field and a three-level [Formula: see text]-type atom in the presence of a classical homogenous gravitational field when the atom is prepared initially in the momentum eigenstate. The model includes the detuning parameters and the classical homogenous gravitational field. The wave function is calculated by using the Schrödinger equation for a coherent electromagnetic field and an atom is in its excited state. The influence of the detuning parameter and the classical homogenous gravitational field on the temporal behavior of the mean photon number, the normalized second-order correlation function and the normal squeezing is analyzed. The results show that the presence of these parameters has an important effect on these phenomena. The conclusion is reached and some features are given.

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.

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.

Quantum Dynamics and Entropy in a Single-Cooper-Pair Box with a Single-Mode Cavity Field

2003 ◽  
Vol 17 (14) ◽  
pp. 2699-2713 ◽  
Author(s):  
Meng Zhang ◽  
Jian Zou ◽  
Bin Shao
Keyword(s):  
Mixed State ◽  
Pure State ◽  
Quantum Dynamics ◽  
Cooper Pair ◽  
Single Mode ◽  
Quantum Entropy ◽  
Cavity Field ◽  
Cooper Pair Box ◽  
Quantized Field ◽  
Single Mode Cavity

We consider a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field. We assume that the box is initially in a mixed state, and investigate the quantum dynamics of the Cooper-pair box and show that the collapse and revival phenomenon can exist in this system. We also study the quantum entropy of the single-Cooper-pair box and discuss the effects of the different parameters on this quantum entropy. We find that the box, which is initially in a mixed state, may evolve into an almost pure state.

Spectrum of a microcavity with single quantum nonlinearity

2013 ◽  
Vol 91 (8) ◽  
pp. 645-649
Author(s):  
Xiaoyong Guo ◽  
Liqun An ◽  
Xiaobin Ren ◽  
Zhongzhou Ren
Keyword(s):  
Emission Spectrum ◽  
Nonlinear Effect ◽  
Physical System ◽  
Emission Intensity ◽  
Critical Level ◽  
Single Mode ◽  
Matter Field ◽  
Single Quantum ◽  
Cavity Field ◽  
Single Mode Cavity

In this paper, we investigate the emission spectrum of a nonlinear microcavity at the level of individual quantum. The physical system consists of one coherently pumped microcavity in which a self-interacting bosonic matter field strongly couples with the cavity field. By the master equation treatment, we obtain an analytical expression for the emission spectrum of the cavity. It is found that when the strength of the bosonic nonlinear effect is greater than a critical level, the spectrum of the single-mode cavity field is divided into doublet peaks. Furthermore, we also study the influence of the detuning between cavity field and matter field on the emission property. We show that the emission intensity is enhanced by negative detuning and suppressed by positive detuning.

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