Analytical Solution of the Quantum Master Equation for the Jaynes–Cummings Model


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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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N. Viktorova

Russian State University of Humanities and Institute of Information Sciences and Security Technologies, Department of Applied Mathematics

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Email: nbvictorova@list.ru
俄罗斯联邦, Moscow

Yu. Ozhigov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Email: nbvictorova@list.ru
俄罗斯联邦, Moscow

N. Skovoroda

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Email: nbvictorova@list.ru
俄罗斯联邦, Moscow

K. Skurat

Faculty of Information Systems and Security, Russian State University of Humanities, Department of Applied Mathematics

Email: nbvictorova@list.ru
俄罗斯联邦, Moscow

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