Stationary two-level atomic inversion in a quantized cavity field

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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Dynamical Properties of Scaled Atomic Wehrl Entropy of Multiphoton JCM in the Presence of Atomic Damping

Advances in Condensed Matter Physics ◽

10.1155/2013/879058 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7

Author(s):

S. Abdel-Khalek ◽

M. S. Almalki ◽

E. Edfawy

Keyword(s):

Marginal Distribution ◽

Initial Conditions ◽

Cavity Field ◽

Wehrl Entropy ◽

Atomic Inversion ◽

Interaction Picture ◽

Level Atom ◽

Damping Parameter ◽

Physical Quantities ◽

Monotonic Relation

We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomicQ-function for a single two-level atom interacting with a one-mode cavity field taking in the presence of atomic damping. We obtain the exact solution of the master equation in the interaction picture using specific initial conditions. We examine the effects of atomic damping parameter and number of multiphoton transition on the scaled atomic Wehrl entropy, atomicQ-function, and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities in the case of different values of the number of photon transition during the time evolution.

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A STUDY OF THE INTERACTION BETWEEN A FIVE-LEVEL ATOM AND A SINGLE-MODE CAVITY FIELD: FAN-TYPE

Modern Physics Letters B ◽

10.1142/s0217984911027303 ◽

2011 ◽

Vol 25 (24) ◽

pp. 1971-1982 ◽

Cited By ~ 2

Author(s):

N. H. ABDEL-WAHAB

Keyword(s):

Dynamical Behavior ◽

Single Mode ◽

Kerr Nonlinearity ◽

Coupling Constants ◽

Kerr Medium ◽

Cavity Field ◽

Atomic Inversion ◽

Input Field ◽

Level Atom ◽

Single Mode Cavity

In this paper, a model describing the interaction of a five-level (85 Rb ) atom with one-mode cavity field including Kerr nonlinearity is discussed. Analytical solution for this model is presented when the atom is initially prepared in its upper state. The obtained results are then employed to examine the dynamical behavior of atomic inversion, field statistics and field squeezing when the input field is initially considered in a coherent state. It is found that the atom-field properties are influenced by the changing of the coupling constants, the detuning parameters and the Kerr medium.

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Dynamics of a nonlinear time-dependent two two-level atoms in a two-mode cavity

International Journal of Quantum Information ◽

10.1142/s0219749920500033 ◽

2020 ◽

Vol 18 (03) ◽

pp. 2050003

Author(s):

S. T. Korashy ◽

T. M. El-Shahat ◽

N. Habiballah ◽

H. El-Sheikh ◽

M. Abdel-Aty

Keyword(s):

Cross Correlation ◽

Relative Phase ◽

Coupling Parameter ◽

Kerr Nonlinearity ◽

Stark Shift ◽

Time Dependent ◽

Cavity Field ◽

Atomic Inversion ◽

Field Coupling ◽

Superposition States

In this paper, we present some properties through two two-level atoms interacting with a two-mode quantized cavity field. We study this system in the presence of detuning parameter, Kerr nonlinearity, Stark shift, relative phase and intensity-dependent atoms-field coupling. Also, the coupling parameter is modulated to be time dependent. The exact solution of this model is given by using the Schrődinger equation when the atoms and the field are initially prepared in superposition states and coherent states, respectively. We employed the results to calculate some aspects such as linear entropy, total atomic inversion and cross-correlation function.

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The Jaynes–Cummings model of a two-level atom in a single-mode para-Bose cavity field

Scientific Reports ◽

10.1038/s41598-021-02150-0 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

H. Fakhri ◽

M. Sayyah-Fard

Keyword(s):

Coherent States ◽

Quantum Noise ◽

Single Mode ◽

Von Neumann Entropy ◽

Cavity Field ◽

Squeezing Effect ◽

Atomic Inversion ◽

Von Neumann ◽

Level Atom ◽

Mechanical Nature

AbstractThe coherent states in the parity deformed analog of standard boson Glauber coherent states are generated, which admit a resolution of unity with a positive measure. The quantum-mechanical nature of the light field of these para-Bose states is studied, and it is found that para-Bose order plays an important role in the nonclassical behaviors including photon antibunching, sub-Poissonian statistics, signal-to-quantum noise ratio, quadrature squeezing effect, and multi-peaked number distribution. Furthermore, we consider the Jaynes-Cummings model of a two-level atom in a para-Bose cavity field with the initial states of the excited and Glauber coherent ones when the atom makes one-photon transitions, and obtain exact energy spectrum and eigenstates of the deformed model. Nonclassical properties of the time-evolved para-Bose atom-field states are exhibited through evaluating the fidelity, evolution of atomic inversion, level damping, and von Neumann entropy. It is shown that the evolution time and the para-Bose order control these properties.

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