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

Published: 01 January 2019 Publication History

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.

References

[1]
N. B. Viktorova, Yu. I. Ozhigov, and N. A. Skovoroda, "Non-Rabi quantum revivals in the Jaynes---Cumming model," Teoreticheskaya i Matematicheskaya Fizika, 189, No. 2, 312---320 (2016).
[2]
E. T. Jaynes and F. W. Cummings, "Comparison of quantum and semiclassical radiation theories with application to the beam maser," Proc. IEEE, 51, No. 1, 89---109 (1963).
[3]
Yu. I. Ozhigov and N. A. Skovoroda, "Atomic excitation conductivity in a system of optical cavities," Matem. Modelirovanie, 29, No. 12, 123---134 (2017).

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Published In

cover image Computational Mathematics and Modeling
Computational Mathematics and Modeling  Volume 30, Issue 1
January 2019
97 pages

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 January 2019

Author Tags

  1. Jaynes---Cummings model
  2. Lindblad equation
  3. density matrix

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