https://doi.org/10.1140/epjp/s13360-020-00264-4
Regular Article
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
* e-mail: f.kheirandish@uok.ac.ir
Received:
10
June
2019
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
