We derive and discuss the dissipative effects of a heat bath on a nonlinear oscillator, excluding very low temperatures [kT{}(level width )] such that a Markovian master equation holds. For temperatures high enough for excited states of the oscillator to acquire noticeable thermal population we find the nonlinearity to have a drastic influence on transition rates and level shifts.
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Haake et al. (1986) studied this question.
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