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General Solution of the Quantum Damped Harmonic Oscillator II : Some Examples

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arxiv 0806.2169 v1 pith:D5UZ7NQ4 submitted 2008-06-13 quant-ph math-phmath.MP

Kazuyuki Fujii (Yokohama City University) , Tatsuo Suzuki (Shibaura Institute of Technology) This is my paper · ORCID
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keywords givensomecompactdampedgeneralharmonicinitialoscillator
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In the preceding paper (arXiv : 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level. In this paper we give the explicit and compact forms to solutions (density operators) for some initial values. In particular, the compact one for the initial value based on a coherent state is given, which has not been given as far as we know. Moreover, some related problems are presented.

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  1. Lindblad dynamics of the damped and forced quantum harmonic oscillator

    quant-ph 2019-08 conditional novelty 4.0 of 10

    A Gaussian displaced thermal ansatz is shown to be form-invariant under the Lindblad dynamics of a damped, forced harmonic oscillator, yielding an explicit quantum limit cycle.

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