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

2019/09/07 by H. J. Korsch, Korsch, H. J.
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1909.03206

openalex publication_date 2019/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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