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Quantum Damped Harmonic Oscillator

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arxiv 1209.1437 v1 pith:XXKUS6WD submitted 2012-09-07 quant-ph math-phmath.MP

Kazuyuki Fujii (Yokohama City University) This is my paper · ORCID
classification quant-phmath-phmath.MP
keywords quantumconditiondampedharmonicinitialmodeloscillatorcase
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In this chapter we treat the quantum damped harmonic oscillator, and study mathematical structure of the model, and construct general solution with any initial condition, and give a quantum counterpart in the case of taking coherent state as an initial condition. This is a simple and good model of Quantum Mechanics with dissipation which is important to understand real world, and readers will get a powerful weapon for Quantum Physics.

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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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