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Lindblad dynamics of the damped and forced quantum harmonic oscillator: General solution

Quantum Physics 2019-09-10 v1 Mathematical Physics math.MP

Abstract

The quantum dynamics of a damped and forced harmonic oscillator described by a Lindblad master equation is analyzed. The master equation is converted into a matrix-vector representation and the resulting non-Hermitian Schr\"odinger equation is solved by Lie-algebraic techniques allowing the construction of the general solution for the density operator.

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Cite

@article{arxiv.1909.03206,
  title  = {Lindblad dynamics of the damped and forced quantum harmonic oscillator: General solution},
  author = {H. J. Korsch},
  journal= {arXiv preprint arXiv:1909.03206},
  year   = {2019}
}

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15 pages