Abstract
We investigate strategies to monitor the dynamics and determine the characteristics of a dissipative harmonic oscillator coupled to a finite temperature heat bath. For this purpose we use a single qubit coupled via dephasing to the oscillator. The whole system is described by a quantum master equation, which can be solved analytically. The solution is surprisingly simple and allows one to read off all relevant parameters from the behavior of the qubit coherence as a function of time. Analyzing the qubit coherence for a short time, turns out to be sufficient to predict the complete dynamics of the oscillator, including its asymptotic state at thermal equilibrium.
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