Interaction of a superconducting qubit and a nonlinear field under energy dissipative effect: entanglement and nonclassi
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Interaction of a superconducting qubit and a nonlinear field under energy dissipative effect: entanglement and nonclassical properties S. A. Aldaghfag1 · Z. M. Elqahtani1 · K. Berrada2 · S. Abdel‑Khalek3,4 Received: 2 May 2020 / Accepted: 15 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The present manuscript studies the temporal behavior of quantum entanglement and nonclassical properties for a superconducting-qubit ( SCqubit )- field system in the framework of deformed f-oscillator formalism. We introduce the nonlinear Jaynes-Cummings model by using the deformation of the mode field operators. Such a generalization of the Jaynes Cummings model that considers the interaction of a SCqubit with an electromagnetic field in the presence of a nonlinear Kerr-like medium and energy dissipation. We examine the effect of the detuning and decay parameters on the degree of the quantum entanglement, population inversion and field photon statistics. Finally, the relationship among quantum quantifiers is explored according to the optimal choice of the main parameters of the physical model. Keywords Kerr-like medium · Energy dissipation · Superconducting-qubit · Quantum entanglement · Mandel’s parameter
1 Introduction Superconducting (SC) circuits, in the concept of Josephson junctions, are eventuality good prospects to perform qubits, examine the physical properties of the Cooper-pair box (charge qubit) and supply an appropriate controlling on qubits in various fields of quantum information processing (QIP) Makhlin et al. (2001); You and Nori (2005); Clarke and Wilhelm (2008); Schoelkopf and Girvin (2008); Astafiev et al. (2004); Pashkin et al. (2003). Quantum entanglement (QE) has been considered as an interesting topic from the time the * S. Abdel‑Khalek [email protected] 1
Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
2
Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
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Mathematics and Statistics Department, Faculty of Science, Taif University, Taif, Saudi Arabia
4
Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt
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groundbreaking study was introduced by Einstein et al. Einstein et al. (1935). The phenomenon of QE is a kind of nonlocal correlation existing in the nonseparability of quantum states, and as a physical measure, it has played a significant part in the growth of QIP Nielsen and Chuang (2000). Recently, several studies of this correlation in solid state systems have been introduced. Such studies consider the interaction between SC-qubits and fields. An interesting proposition is a possible realization of various areas of QIP in the context of quantum circuits in the cavity QED Alexandre et al. (2004). The experimental results of the quantum features of such system having already stated, such as the phenomena of the coherent oscill
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