Dynamics of two coupled qubits interacting with two-photon transitions via a nondegenerate parametric amplifier: nonlocal correlations under intrinsic decoherence

2020 ◽  
Vol 37 (11) ◽  
pp. 3435
Author(s):  
A.-B. A. Mohamed ◽  
A. Farouk ◽  
M. F. Yassen ◽  
H. Eleuch
Keyword(s):  
Parametric Amplifier ◽  
Intrinsic Decoherence ◽  
Two Photon ◽  
Nonlocal Correlations ◽  
Coupled Qubits

Two-photon excited ReaChR by a three-stage femtosecond optical parametric amplifier

CLEO: 2015 ◽  
2015 ◽  
Author(s):  
Chia-Lun Tsai ◽  
Po-Yen Hsiao ◽  
Ming-Chang Chen ◽  
Shang-Da Yang ◽  
Yen-Yin Lin ◽  
...  
Keyword(s):  
Parametric Amplifier ◽  
Optical Parametric Amplifier ◽  
Two Photon ◽  
Optical Parametric

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

scholarly journals NONLOCALITY DYNAMICS INDUCED BY A LAMB–DICKE NONLINEARITY IN TWO DIPOLE-COUPLED TRAPPED IONS UNDER INTRINSIC DECOHERENCE

Fractals ◽  
2021 ◽  
Author(s):  
ABDEL-HALEEM ABDEL-ATY ◽  
A.-B. A. MOHAMED ◽  
H. ELEUCH
Keyword(s):  
Nonlinear Dynamics ◽  
Sudden Death ◽  
Trapped Ions ◽  
Intrinsic Decoherence ◽  
Nonlocal Correlations

In this paper, we explore the nonlinear dynamics of two dipole-coupled-trapped ions in the Lamb–Dicke regime. The dynamics of the generated two-trapped-ions correlations under intrinsic decoherence is quantified by Bell function, the uncertainty-induced nonlocality, and the concurrence. We investigate the effects of the Lamb–Dicke nonlinearity, the intrinsic decoherence, and the two-trapped-ions coupling. It is found that the two-trapped-ions state has different nonlocal correlations. These correlations can be controlled. In the absence of decoherence, the nonlocal correlations can be enhanced by the Lamb–Dicke nonlinearity and the two-trapped-ions coupling. The stable value and the sudden death-birth phenomenon of the entanglement can be apperceived due to the increase of the Lamb–Dicke nonlinearity. The intrinsic decoherence reduces and stabilizes the nonlocal correlations. They are more pronounced with large Lamb–Dicke values. The decoherence effects are reduced by the strong Lamb–Dicke nonlinearity.

Statistical properties of a two-photon cavity mode in the presence of degenerate parametric amplifier

2007 ◽  
Vol 322 (11) ◽  
pp. 2554-2568 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
E.M. Khalil ◽  
A.S.-F. Obada
Keyword(s):  
Cavity Mode ◽  
Parametric Amplifier ◽  
Statistical Properties ◽  
Two Photon

scholarly journals Nondegenerate dual atomic parametric amplifier: entangled atomic fields

Open Physics ◽  
2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Tarun Kumar ◽  
Aranya Bhattacherjee ◽  
Priyanka Verma ◽  
Narine Gevorgyan ◽  
Man Mohan
Keyword(s):  
Parametric Amplifier ◽  
Atom Optics ◽  
Optical Fields ◽  
Photon Interaction ◽  
Two Photon ◽  
Atom Pairs ◽  
The Creation

AbstractIn this paper, we investigate the dynamics of two coupled quantum degenerate atomic fields (BEC) interacting with two classical optical fields in the nonlinear atom optics regime. Two-photon interaction produces entangled atom-atom pairs which exhibit nonclassical correlations. Since the system involves the creation of two correlated atom pairs, we call it the nondegenerate dual atomic parametric amplifier.

Quantum coherence induced by a flux qubit coupled by a resonator coherent field through a two-photon interaction

2021 ◽  
Author(s):  
Abdel-Baset Mohamed ◽  
Hosny A Hessian ◽  
F. S. Al-Duais ◽  
H Eleuch
Keyword(s):  
Sudden Death ◽  
Coherent States ◽  
Quantum Coherence ◽  
Intrinsic Decoherence ◽  
Photon Interaction ◽  
Two Photon ◽  
Coherent Field ◽  
Flux Qubit

Abstract The intrinsic decoherence effects on a flux qubit coupled to a resonator through a two-photon interaction where the resonator field is initially in coherent and even coherent states are investigated. The qubit-resonator entanglement and coherence loss (mixedness) of the system and its subsystems are examined using entropy and negativity. The ability of the qubit-resonator interaction to generate quantum coherence (qubit-resonator entanglement and the mixedness) is shown to be dependent on the initial cavity non-classicality, detuning, and decoherence. For larger values of the qubit-resonator detuning, the initial resonator non-classicality can enhance the generation and stability of quantum coherence. The decoherence degrades the qubit-resonator entanglement and destroys the sudden death-birth entanglement.

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.

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