Generating non-locality correlation via 2-photon resonant interaction of dissipative two-qubit system with coherent fiel
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Generating non-locality correlation via 2-photon resonant interaction of dissipative two-qubit system with coherent field Abdel-Baset A. Mohamed1,2,a , Mostafa Hashem2 , Moataz M. Elkhateeb2 , and Abdel-Shafy F. Obada3 1
2 3
Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia Faculty of Science, Assiut University, Assiut, Egypt Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt Received 25 February 2020 / Received in final form 10 April 2020 Published online 23 June 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. In this paper, we introduce analytically the TC-model of two qubits interacting with a coherent cavity field via 2-photon process under the intrinsic dissipation effect. The interaction between the coherent cavity field and the two qubits, which are initially in an uncorrelated state, leads to generate non-locality qubit-qubit correlations. These correlations are investigated by using trace-norm measurement-induced nonlocality and Bures distance entanglement. It is found that the sudden appearance and sudden disappearance of the qubit-qubit entanglement depend not only on the intrinsic noise but also on the initial coherence intensity. The generated non-locality correlations and their stationary values may be controlled by the physical parameters of the intrinsic noise and the initial coherent field state.
1 Introduction Non-locality correlations (NLCs) are important sources for quantum information [1–3]. Quantum entanglement (QE) is one of the most popular NLCs in the quantum information. In more physical systems [4,5], the control of the generation of the entanglement as kind of non-locality correlations was studied. It is found that the QE is not the only types of NLCs. Other types of NLCs [6–10] are also resources for quantum information such as: measurementinduced nonlocality (MIN) [11], quantum discord [12,13], and geometric quantum discord (GQD) [14], which were firstly defined using the Hilbert–Schmidt norm (HSD) as measures to quantifies the NLCs [15]. It is proved that the HSD may increase under local operations over the unmeasured party. Therefore, the geometrical non-locality measures, MIN and GQD, which are based on the HSD, may not be regarded as good NLC measures [16]. Some modified versions of the MIN and GQD were introduced [17] as those based on the trace distance (trace norm) [18,19], and Bures distance [20]. Such modified versions are more difficult to compute [18]. By now, the explicit formulas for GQD are known only in the twoqubit X-state [21], whereas, for the trace norm MIN , it is known for a general two-qubit state [17,22,23]. Trace norm MIN may be used to quantify the local invariant measurement effect on the overall state of a quantum system. It vanishes when the system state cannot a
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be disturbed by any locally invariant m
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