Quantum dynamics of a driven damped harmonic oscillator in Heisenberg picture: exact results and possible generalizations
Department of Physics, Faculty of Science, University of Kurdistan, P.O. Box 66177-15175, Sanandaj, Iran
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Accepted: 4 February 2020
Published online: 11 February 2020
In the framework of the Heisenberg picture, an alternative derivation of the reduced density matrix of a driven dissipative quantum harmonic oscillator as the prototype of an open quantum system is investigated. The reduced density matrix for different initial states of the combined system is obtained from a general formula, and different limiting cases are studied. Exact expressions for the corresponding characteristic function in quantum thermodynamics and Wigner quasi-distribution function are found. A possible generalization based on the Magnus expansion of the evolution operator is presented.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020