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Lindblad dynamics of the damped and forced quantum harmonic oscillator: General solution (1909.03206v1)

Published 7 Sep 2019 in quant-ph, math-ph, and 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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