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

被引：0
作者：
Viktorova N.B. [1 ]
Ozhigov Y.I. [2 ]
Skovoroda N.A. [2 ]
Skurat K.N. [3 ]
机构：
[1] Russian State University of Humanities and Institute of Information Sciences and Security Technologies, Department of Applied Mathematics, Moscow
[2] Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow
[3] Faculty of Information Systems and Security, Russian State University of Humanities, Department of Applied Mathematics, Moscow
来源：
Computational Mathematics and Modeling | 2019年 / 30卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
density matrix; Jaynes–Cummings model; Lindblad equation;
D O I：
10.1007/s10598-019-09435-0
中图分类号：
学科分类号：
摘要：
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. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：68 / 79
页数：11
相关论文
共 3 条
  • [1] Viktorova N.B., Ozhigov Y.I., Skovoroda N.A., Non-Rabi quantum revivals in the Jaynes–Cumming model, Teoreticheskaya i Matematicheskaya Fizika, 189, 2, pp. 312-320, (2016)
  • [2] Jaynes E.T., Cummings F.W., Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proc. IEEE, 51, 1, pp. 89-109, (1963)
  • [3] Ozhigov Y.I., Skovoroda N.A., Atomic excitation conductivity in a system of optical cavities, Matem. Modelirovanie, 29, 12, pp. 123-134, (2017)
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