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arXiv · 1006.2402

Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities

M. I. Dykman·M. Khasin·J. Portman·S. W. Shaw
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Abstract

We study an underdamped oscillator with shot-noise frequency fluctuations. The oscillator spectrum is determined by the interference of the susceptibilities for different eigenfrequencies. Depending on the parameters, it has a fine structure or displays a single asymmetric peak. For nano-mechanical resonators with a fluctuating number of attached molecules, the spectrum is found in a simple analytical form. The results bear on various types of systems where the reciprocal correlation time of frequency fluctuations can be comparable to the typical frequency jumps.

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M. I. Dykman, M. Khasin, J. Portman, S. W. Shaw. 2010-06-11. Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities. https://doi.org/10.1103/physrevlett.105.230601

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