scholarly journals Enhancing the Generated Stable Correlation in a Dissipative System of Two Coupled Qubits inside a Coherent Cavity via Their Dipole-Dipole Interplay

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 672 ◽  
Author(s):  
Abdel-Baset Mohamed ◽  
Mostafa Hashem ◽  
Hichem Eleuch
Keyword(s):  
Coherent State ◽  
Dissipation Rate ◽  
Dissipative System ◽  
Cavity Field ◽  
Intrinsic Decoherence ◽  
Schmidt Norm ◽  
Two Measures ◽  
Classical Correlations ◽  
Intrinsic Dissipation ◽  
Coupled Qubits

We explore the dissipative dynamics of two coupled qubits placed inside a coherent cavity-field under dipole-dipole interplay and 2-photon transitions. The generated non-classical correlations (NCCs) beyond entanglement are investigated via two measures based on the Hilbert-Schmidt norm. It is found that the robustness of the generated NCCs can be greatly enhanced by performing the intrinsic dissipation rate, dipole-dipole interplay rate, initial coherence intensity and the degree of the coherent state superpositions. The results show that the intrinsic decoherence stabilize the stationarity of the non-classical correlations while the dipole interplay rate boost them. The non-classical correlations can be frozen at their stationary correlations by increasing the intrinsic dissipation rate. Also NCCs, can be enhanced by increasing the initial coherent intensity.

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.

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

N-ORDER SQUEEZING AND POISSONIAN STATISTICS OF A FOUR-LEVEL W-TYPE ATOM INTERACTING WITH ONE-MODE CAVITY FIELD

2011 ◽  
Vol 25 (22) ◽  
pp. 3001-3009 ◽  
Author(s):  
N. H. ABDEL-WAHAB
Keyword(s):  
Electromagnetic Field ◽  
Excited State ◽  
Coherent State ◽  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Maximum Value ◽  
Quantized Electromagnetic Field ◽  
Poissonian Statistics

In this paper we consider a four-level W-type atom interacting with a single-mode quantized electromagnetic field in the presence of the Kerr medium. The atom and the field are initially prepared in the excited state and coherent state, respectively. The influence of the Kerr medium on the N-order squeezing and Poissonian statistics is investigated. We found that the maximum value of squeezing decreases by increasing the order N. Also, we noticed that the Kerr-like medium decreases the amount of squeezing and increases the sub-Poissonian statistics.

DEVIATION OF COHERENT STATE CAUSED BY DISSIPATION

2000 ◽  
Vol 14 (07n08) ◽  
pp. 267-275 ◽  
Author(s):  
Y. H. JIN ◽  
S. P. KOU ◽  
J. Q. LIANG ◽  
B. Z. LI
Keyword(s):  
Spectral Density ◽  
Coherent State ◽  
Small Amplitude ◽  
Uncertainty Relation ◽  
Small Deviation ◽  
Dissipative System ◽  
Harmonic Oscillators ◽  
System A ◽  
Squeezed Coherent State ◽  
Weak Dissipation

The time evolution of a coherent state was studied in the dissipative system, a harmonic oscillator coupling with a bath of harmonic oscillators with Ohmic spectral density. We define a deviation of uncertainty relation versus the squeezed coherent state as [Formula: see text]. It is found that for the case of η ≪ ω0, namely, the weak dissipation, Δ oscillates with a small amplitude. The system is in a squeezed coherent state essentially and the dissipation only leads to a small deviation. For both strong (η ≫ ω0) and critical (η ~ ω0) dissipations, Δ is divergent with respect to t and the coherence of state is destroyed.

SPECTRA OF THE JAYNES-CUMMINGS MODEL IN PRESENCE OF A SECOND HARMONIC GENERATION

2009 ◽  
Vol 23 (09) ◽  
pp. 2215-2232 ◽  
Author(s):  
H. A. BATARFI ◽  
ISA A. Al-KHAYAT ◽  
M. SEBAWE ABDALLA ◽  
S. S. HASSAN
Keyword(s):  
Second Harmonic Generation ◽  
Coherent State ◽  
Harmonic Generation ◽  
Excited Atom ◽  
Second Harmonic ◽  
Cavity Field ◽  
Transient Spectra ◽  
Jc Model

Dipole and cavity field transient spectra are investigated for a modified Jaynes-Cummings (JC) model due to the presence of a second harmonic generation (SHG) cavity field. For initially de-excited atom and field in a coherent state, detuning effects due to SHG affects the symmetry and splitting structure of both spectra.

scholarly journals Two-Qubit Local Fisher Information Correlation beyond Entanglement in a Nonlinear Generalized Cavity with an Intrinsic Decoherence

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 311
Author(s):  
A.-B. A. Mohamed ◽  
E. M. Khalil ◽  
M. F. Yassen ◽  
H. Eleuch
Keyword(s):  
Hamiltonian System ◽  
Fisher Information ◽  
Coherent States ◽  
Quantum Fisher Information ◽  
Cavity Field ◽  
Intrinsic Decoherence ◽  
Coherent Field ◽  
Generalized Coherent States ◽  
Local Quantum ◽  
Bures Distance

In this paper, we study a Hamiltonian system constituted by two coupled two-level atoms (qubits) interacting with a nonlinear generalized cavity field. The nonclassical two-qubit correlation dynamics are investigated using Bures distance entanglement and local quantum Fisher information under the influences of intrinsic decoherence and qubit–qubit interaction. The effects of the superposition of two identical generalized coherent states and the initial coherent field intensity on the generated two-qubit correlations are investigated. Entanglement of sudden death and sudden birth of the Bures distance entanglement as well as the sudden changes in local Fisher information are observed. We show that the robustness, against decoherence, of the generated two-qubit correlations can be controlled by qubit–qubit coupling and the initial coherent cavity states.

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