Analytical Solution of the Quantum Master Equation for the Jaynes–Cummings Model
- Authors: Viktorova N.B.1, Ozhigov Y.I.2, Skovoroda N.A.2, Skurat K.N.3
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Affiliations:
- Russian State University of Humanities and Institute of Information Sciences and Security Technologies, Department of Applied Mathematics
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- Faculty of Information Systems and Security, Russian State University of Humanities, Department of Applied Mathematics
- Issue: Vol 30, No 1 (2019)
- Pages: 68-79
- Section: Article
- URL: https://journal-vniispk.ru/1046-283X/article/view/247833
- DOI: https://doi.org/10.1007/s10598-019-09435-0
- ID: 247833
Cite item
Abstract
The article considers the dynamics of resonator photon occupancy (the probability of finding a photon in the resonator), atom excitation, and sink photon occupancy when a single photon escapes into the sink from an optical resonator populated by an atom in the ground and excited states. The photon-occupancy dynamics of the cavity is investigated using the Lindblad equation.
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About the authors
N. B. Viktorova
Russian State University of Humanities and Institute of Information Sciences and Security Technologies, Department of Applied Mathematics
Author for correspondence.
Email: nbvictorova@list.ru
Russian Federation, Moscow
Yu. I. Ozhigov
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Email: nbvictorova@list.ru
Russian Federation, Moscow
N. A. Skovoroda
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Email: nbvictorova@list.ru
Russian Federation, Moscow
K. N. Skurat
Faculty of Information Systems and Security, Russian State University of Humanities, Department of Applied Mathematics
Email: nbvictorova@list.ru
Russian Federation, Moscow
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