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arXiv:2005.08172

Wigner distribution function of atomic system interacts locally with a deformed cavity

Mahmoud Youssef Abd‐Rabbou, NASSER METWALLY, M. M. A. Ahmed, A.‐S. F. Obada

Published May 17, 2020• 0 citations
arXivHTMLPDF

Abstract

Wigner distribution function of atomic system interacts locally with a deformed cavity is discussed. It is shown that, the deformed cavity has a destructive effect on the Wigner distribution function, where it decreases as one increases the deformation strength. The upper and lower bounds of the Wigner distribution function depends on the initial state settings of atomic system (entangled/product), the initial values of the dipole-dipole interaction's and detuning parameters, and the external distribution weight and the phase angles. The possibility of suppressing the decay induced by the deformed cavity may be increased by increasing the dipole's strength or the detuning parameter. We show that the distribution angles may be considered as a control external parameters, that maximize/ minimize the Wigner distribution function. This means that by controlling on the distribution angles, one can increase the possibility of suppressing the decoherence induced by the deformed cavity.

DOI
10.48550/arxiv.2005.08172

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Wigner distribution function of atomic system interacts locally with a deformed cavity is discussed. It is shown that, the deformed cavity has a destructive effect on the Wigner distribution function, where it decreases as one increases the deformation strength. The upper and lower bounds of the Wigner distribution function depends on the initial state settings of atomic system (entangled/product), the initial values of the dipole-dipole interaction's and detuning parameters, and the external distribution weight and the phase angles. The possibility of suppressing the decay induced by the deformed cavity may be increased by increasing the dipole's strength or the detuning parameter. We show that the distribution angles may be considered as a control external parameters, that maximize/ minimize the Wigner distribution function. This means that by controlling on the distribution angles, one can increase the possibility of suppressing the decoherence induced by the deformed cavity.
Abstract The possibility of generating of some quantum correlations of the entangled or separable initial two-qubit system interacting with a deformed cavity mode in the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability and steering degrees which are quantifiers by using l1 l_1 l1​ l 1 norm of coherence, Entanglement of Formation and Einstein–Podolsky–Rosen -steering. It is shown that maximizing or minimizing the quantum correlations depends on the initial setting states of the two-qubit system. To maximize the quantum correlations on the presence of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of the deformation parameter.
Abstract The possibility of generating of some quantum correlations of entangled or separable initial two-qubit system interacts with a deformed cavity mode on the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability, and steering degrees, which are quantifiers by using l1 norm of coherence, Entanglement of Formation (EoF), and Einstein-Podolsky-Rosen (EPR)-steering. It is shown that, maximizing or minimizing the quantum correlations depend on the initial settings states of the two-qubit system. To maximize the quantum correlations on the presences of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of deformation parameter.
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We explore a superconducting charge qubit interacting with a dissipative microwave cavity field. Wigner distribution and its non-classicality are investigated analytically under the effects of the qubit–cavity interaction, the qubit–cavity detuning, and the dissipation. As the microwave cavity field is initially in an even coherent state, we investigate the non-classicality of the Wigner distributions. Partially and maximally frozen entanglement are produced by the qubit–cavity interaction, depending on detuning and cavity dissipation. It is found that the amplitudes and frequency of the Wigner distribution can be controlled by the phase space parameters, the qubit–cavity interaction and the detuning, as well as by the dissipation. The cavity dissipation reduces the non-classicality; this process can be accelerated by the detuning.
We have investigated the influence of dipole-dipole interaction and initial atomic coherence on dynamics of two-atom systems. We have considered a model, in which only one atom is trapped in a cavity, and the other one can be spatially moved freely outside the cavity. We have shown the possibility of disappearance of the entanglement sudden death effect in the presence of the dipole interaction of atoms. We have also derived that the initial atomic coherence can be used for effective control of the degree of the atom-atom entanglement.
Considering the adiabatical approximation and the large detuning condition, we give the effective Hamiltonian of a ladder-type three levels atom interacting with a bimodal cavity field. If two identical three-level atoms are sent through the cavity one by one, a two-atom entangled state can be generated. With the choice of the appropriate interaction time, a maximally entangled state of two atoms can be obtained if decoherence effect is ignored. Moreover, we discuss the effect of cavity decay on four physical quantities including atomic population probability, residual entanglement of the first atom and the cavity field, concurrence between the two atoms, and fidelity for generating atomic EPR state, all of which decrease with the increase of cavity decay when the other parameters are fixed.