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


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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.

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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