跳频振子的谱与偏磁干扰
Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities
摘要：
研究了具有散粒噪声频率起伏的欠阻尼振子。不同本征频率下的谐振子频率的干涉决定了谐振子的频谱。取决于参数，它具有精细结构或显示单个不对称峰。对于纳米机械谐振器与一个波动的附加分子的数量，频谱被发现在一个简单的分析形式。这些结果适用于各种类型的系统，其中频率波动的互相关时间可以与典型的频率跳变相媲美。
英文摘要：
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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