Entropic uncertainty in two two-level atoms interacting with a cavity field in presence of degenerate parametric amplifier

Khalil, E. M.; Abdalla, M. Sebawe; Obada, A.‐S. F.; Peřina, Jan

doi:10.1364/josab.27.000266

Cited by 49 publications

(12 citation statements)

References 52 publications

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“…Many previous studies dealt with time dependence in different ways, including [35]. The time dependence of this model was derived without the nonlinearity of termes in [36,37]. Under the rotating-wave approximation, The system Hamiltonian can be written aŝ…”

Section: System Hamiltonian and Dynamicsmentioning

confidence: 99%

Quantumness Measures for a System of Two Qubits Interacting with a Field in the Presence of the Time-Dependent Interaction and Kerr Medium

Abdel‐Khalek

Berrada

Khalil

et al. 2021

Entropy

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In this work, we introduce the standard Tavis-Cummings model to describe two-qubit system interacting with a single-mode field associated to power-law (PL) potentials. We explore the effect of the time-dependent interaction and the Kerr-like medium. We solve the Schrödinger equation to obtain the density operator that allows us to investigate the dynamical behaviour of some quantumness measures, such as von Neumann entropy, negativity and Mandel’s parameter. We provide how these entanglement measures depend on the system parameters, which paves the way towards better control of entanglement generation in two-qubit systems. We find that the enhancement and preservation of the atoms-field entanglement and atom-atom entanglement can be achieved by a proper choice of the initial parameters of the field in the absence and presence of the time-dependent interaction and Kerr medium. We examine the photons distribution of the field and determine the situations for which the field exhibits super-poissonian, poissonian or sub-poissonian distribution.

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Section: System Hamiltonian and Dynamicsmentioning

confidence: 99%

Quantumness Measures for a System of Two Qubits Interacting with a Field in the Presence of the Time-Dependent Interaction and Kerr Medium

Abdel‐Khalek

Berrada

Khalil

et al. 2021

Entropy

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“…This argument has been discussed by the authors of ref. [28,[30][31][32][33][34][35][36]. It is well known that for a quantum-mechanical system with two physical observables represented by the Hermitian operatorsÂ andB satisfying the commutation relation [Â,B] = iĈ, one can write the Heisenberg uncertainty relation in the form…”

Section: The Entropy and Variance Squeezingmentioning

confidence: 99%

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

et al. 2015

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Abstract.A quantum optics model is considered where the cavity field interacts with two coupled atoms. The time-dependent wave function is obtained and used to derive the density matrix from which we discussed some statistical properties for the present system. The atom-atom entanglement, atoms-cavity entanglement, entropy and variance squeezing, the Pegg-Barrnet phase and the fidelity are discussed with the effects of the initial conditions, atom-atom coupling and the detuning parameter displayed. It is shown that an increase in the value of the atom-atom coupling parameter leads to an increase in the degree of entanglement. Numerical results show that under some conditions the phenomena of entanglement and the collapses and the revivals emerge. Nonclassical properties are demonstrated by means of the field quantum statistical characteristics, such as photon-number distribution, Husimi, Wigner and Glauber-Sudarshan quasidistributions and the corresponding variances.

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“…As known, there are three essential interesting models in the quantum optics field. These models are the atom-atom interaction [17][18][19][20][21][22][23][24], the field-field interaction [25][26][27][28][29][30][31][32][33] and atom-field interaction [34][35][36][37][38][39][40][41][42][43][44][45][46]. In this paper, our aim is to study the effects of two of these types of the interaction between atoms and field which are atom-atom and atom-field interactions.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion

Nahla

Ahmed

2019

Journal of Taibah University for Science

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A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes.

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Entropic uncertainty in two two-level atoms interacting with a cavity field in presence of degenerate parametric amplifier

Cited by 49 publications

References 52 publications

Quantumness Measures for a System of Two Qubits Interacting with a Field in the Presence of the Time-Dependent Interaction and Kerr Medium

Quantumness Measures for a System of Two Qubits Interacting with a Field in the Presence of the Time-Dependent Interaction and Kerr Medium

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion

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