We add memory effects to the master equation describing a harmonic oscillator embedded in a reservoir. Solving the time evolution exactly, we show that the model is sensible only in the Markovian limit. Thus we issue a warning against indiscriminate introduction of memory effects in master equations and call for a systematic method to obtain corrections to Markovian time evolution
It is shown that response properties of a quantum harmonic oscillator are in essence those of a classical oscillator, and that, paradoxical as it may be, these classical properties underlie all quantum dynamical properties of the system. The results are extended to non-interacting bosonic fields, both neutral and charged.
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