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Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

S. I. Ali

Published Sep 20, 2022• 2 citations
Publisher

Abstract

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.

DOI
10.21203/rs.3.rs-2031172/v1

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Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

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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 $$ l_1 $$ 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.

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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.
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.
The possibility of teleporting a single-qubit system in an atomic system that interacts with a deformed cavity mode is being discussed. The average fidelity is used to investigate the quality of the teleported information in either ideal or deformed cavity. The quantum Fisher information is used as an estimator for the weight and phase angle parameters of the initial input state. The study shows that maximizing/minimizing the estimation degree and fidelity depends on the initial state settings of the atomic system, dipole–dipole coupling, and the estimated parameters. To maximize the information in the presence of a deformed cavity, one has to set large values of the atomic coupling dipole subsystem and reduce the deformation parameter.
This study examines the analysis of the teleportation process in a two-qubit state, particularly scrutinizing the interplay of atomic dipole coupling interaction, the detuning parameter, photon count, and the surrounding environment. Our investigation assumes the existence of a teleportation channel comprising two-qubit systems interacting with a photon field enveloped by the dephasing environment. Within this framework, we closely examine the quantum correlations exhibited by the teleported state, encompassing dimensions of entanglement, steering, and non-locality. Our results underscore the pivotal role played by the initial state of the atomic and field subsystems in shaping quantum relations. The dipole coupling has a profound impact, significantly enhancing the three quantifiers. Particularly, the entanglement changes from a de-entangled state to a partially entangled state. On the other hand, the detuning parameter introduces distortion in the quantum correlations, a phenomenon that can be effectively mitigated by controlling the dipole coupling.
Quantum correlation is an important resource in quantum information, quantum computation, and quantum metrology. Quantum entanglement, Einstein-Podolsky-Rosen (EPR) quantum steering and Bell nonlocality are the major quantum correlations. For quantum entanglement and Bell nonlocality, two subsystems play the same significant roles. EPR quantum steering is stronger than entanglement and weaker than Bell nonlocality. It represents the ability of one subsystem to nonlocally affect another subsystem's states through local measurements. In this paper, the dynamic quantum correlation between the modes in the two-site Bose-Hubbard model is investigated. According to Hillery-Zubairy entanglement criterion and based on maximum mean quantum Fisher information, the influences of initial states on the quantum entanglement evolutions are explored. If the coupling between the modes is much greater than that of the particles at the same site, and the initial states are symmetric or anti-symmetric SU(2) coherent states, the quantum correlations show simple periodic evolutions. The oscillation amplitudes of the evolutions increase with the interaction between the particles at the same site. The oscillation period decreases with the coupling strength between the modes. The dependence of the period on the interaction of the particles at the same site is related to the initial states. In other words, the time evolutions of quantum correlation are closely related to the symmetry of the initial states. In the case of symmetric (anti-symmetric) SU(2) coherent state and repulsive (attractive) interaction of the particles at the same site, the system presents two-way quantum steering. When the subsystem exchange symmetry of the initial states is broken, the collapse and revival of quantum correlation appear, moreover one-way quantum steering emerges in the infancy. One-way quantum steering is asymmetric for two subsystems. So exchange asymmetry of the initial state is necessary condition of one-way quantum steering when the Hamiltonian of the system is symmetric for two subsystems.
We have investigated the influence of dipole-dipole interaction and initial atomic coherence on atomic entanglement dynamics of two qubits. We have considered a model, in which only one atom couples to a quantum electromagnetic field in a cavity, since one of them can move around the cavity. We have shown that the entanglement arises for all pure atomic state even when both atoms are initially in the excited states. We have also derived that degree of entanglement is enhanced in the presence of the atomic coherence.