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Mohamed ABA, Rahman AU, Eleuch H. Measurement Uncertainty, Purity, and Entanglement Dynamics of Maximally Entangled Two Qubits Interacting Spatially with Isolated Cavities: Intrinsic Decoherence Effect. ENTROPY 2022; 24:e24040545. [PMID: 35455208 PMCID: PMC9030500 DOI: 10.3390/e24040545] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/07/2022] [Revised: 03/26/2022] [Accepted: 03/31/2022] [Indexed: 02/04/2023]
Abstract
In a system of two charge-qubits that are initially prepared in a maximally entangled Bell’s state, the dynamics of quantum memory-assisted entropic uncertainty, purity, and negative entanglement are investigated. Isolated external cavity fields are considered in two different configurations: coherent-even coherent and even coherent cavity fields. For different initial cavity configurations, the temporal evolution of the final state of qubits and cavities is solved analytically. The effects of intrinsic decoherence and detuning strength on the dynamics of bipartite entropic uncertainty, purity and entanglement are explored. Depending on the field parameters, nonclassical correlations can be preserved. Nonclassical correlations and revival aspects appear to be significantly inhibited when intrinsic decoherence increases. Nonclassical correlations stay longer and have greater revivals due to the high detuning of the two qubits and the coherence strength of the initial cavity fields. Quantum memory-assisted entropic uncertainty and entropy have similar dynamics while the negativity presents fewer revivals in contrast.
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Affiliation(s)
- Abdel-Baset A. Mohamed
- Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
- Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt
- Correspondence:
| | - Atta Ur Rahman
- Key Laboratory of Aerospace Information Security and Trusted Computing, Wuhan University, Wuhan 430072, China;
| | - Hichem Eleuch
- Department of Applied Physics and Astronomy, University of Sharjah, Sharjah P.O. Box 26666, United Arab Emirates;
- College of Arts and Sciences, Abu Dhabi University, Abu Dhabi P.O. Box 59911, United Arab Emirates
- Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA
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