Intrinsic decoherence effect on quantum coherence dynamics of a qutrit interacting resonantly with a coherent cavity field

2021 ◽  
Vol 136 (4) ◽  
Author(s):  
A.-B. A. Mohamed ◽  
H. A. Hessian
Keyword(s):  
Quantum Coherence ◽  
Cavity Field ◽  
Intrinsic Decoherence ◽  
Decoherence Effect

scholarly journals Influence of the Coupling between Two Qubits in an Open Coherent Cavity: Nonclassical Information via Quasi-Probability Distributions

Entropy ◽  
2019 ◽  
Vol 21 (12) ◽  
pp. 1137 ◽  
Author(s):  
Abdel-Baset A. Mohamed ◽  
Hichem Eleuch ◽  
Abdel-Shafy F. Obada
Keyword(s):  
Quantum Coherence ◽  
Probability Distributions ◽  
Microwave Cavity ◽  
Wehrl Entropy ◽  
Intrinsic Decoherence ◽  
Probability Functions ◽  
Decoherence Rate ◽  
Two Level Systems ◽  
Q Function ◽  
Nonclassical Information

In this paper, we investigate the dynamics of two coupled two-level systems (or qubits) that are resonantly interacting with a microwave cavity. We examine the effects of the intrinsic decoherence rate and the coupling between the two qubits on the non-classicality of different system partitions via quasi-probability functions. New definitions for the partial Q-function and its Wehrl entropy are used to investigate the information and the quantum coherence of the phase space. The amount of the quantum coherence and non-classicality can be appropriately tuned by suitably adopting the rates of the intrinsic-decoherence and the coupling between the two qubits. The intrinsic decoherence has a pronounced effect on the negativity and the positivity of the Wigner function. The coupling between the two qubits can control the negativity and positivity of the quasi-probability functions.

scholarly journals Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Abdel-Baset A. Mohamed ◽  
Hichem Eleuch
Keyword(s):  
Phase Space ◽  
Quantum Coherence ◽  
Coupling Constants ◽  
Light Quantum ◽  
Wehrl Entropy ◽  
Intrinsic Decoherence ◽  
Highly Sensitive ◽  
Qubit System ◽  
Probability Information ◽  
Q Function

AbstractWe explore the phase space quantum effects, quantum coherence and non-classicality, for two coupled identical qubits with intrinsic decoherence. The two qubits are in a nonlinear interaction with a quantum field via an intensity-dependent coupling. We investigate the non-classicality via the Wigner functions. We also study the phase space information and the quantum coherence via the Q-function, Wehrl density, and Wehrl entropy. It is found that the robustness of the non-classicality for the superposition of coherent states, is highly sensitive to the coupling constants. The phase space quantum information and the matter-light quantum coherence can be controlled by the two-qubit coupling, initial cavity-field and the intrinsic decoherence.

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 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.

scholarly journals Quantum Fisher Information and Bures Distance Correlations of Coupled Two Charge-Qubits Inside a Coherent Cavity with the Intrinsic Decoherence

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 352
Author(s):  
Abdel-Baset A. Mohamed ◽  
Eied. M. Khalil ◽  
Mahmoud M. Selim ◽  
Hichem Eleuch
Keyword(s):  
Fisher Information ◽  
Coherent States ◽  
Quantum Fisher Information ◽  
Quantum Correlations ◽  
Freezing Behavior ◽  
Intrinsic Decoherence ◽  
Decoherence Rate ◽  
Local Quantum ◽  
Decoherence Effect ◽  
Bures Distance

The dynamics of two charged qubits containing Josephson Junctions inside a cavity are investigated under the intrinsic decoherence effect. New types of quantum correlations via local quantum Fisher information and Bures distance norm are explored. We show that we can control the quantum correlations robustness by the intrinsic decoherence rate, the qubit-qubit coupling as well as by the initial coherent states superposition. The phenomenon of sudden changes and the freezing behavior for the local quantum Fisher information are sensitive to the initial coherent state superposition and the intrinsic decoherence.

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.

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