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arXiv 2006.00650cond-mat.mes-hall
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线性反馈和参量泵浦对谐振腔频率稳定性的影响

On the effect of linear feedback and parametric pumping on a resonators frequency stability

Zohreh Mohammadi, Toni L. Heugel, James M. L. Miller, Dongsuk D. Shin, Hyun-Keun Kwon, Thomas W. Kenny, Ramasubramanian Chitra, Oded Zilberberg, Luis Guillermo Villanueva

摘要:

基于微纳机电系统(M/NEMS)的谐振传感器由于其出色的性能能力而在许多传感应用中无处不在,所述性能能力与设备的品质因数(Q)成正比。我们在这里解决一个经常性的问题,在该领域:动态技术,修改有效的Q(即参数泵浦和直接驱动速度反馈)的影响所述传感器的性能?我们开发这两种情况下的分析模型,同时保持在线性制度,并引入噪声在系统中从两个不同的来源:热机械和放大器(读出)噪声。我们观察到,参量泵浦提高了谐振腔振幅响应的品质因数,但却降低了相位响应的品质因子。在反馈的情况下,我们发现Q在这两种情况下都得到了增强。然后,我们建立了一个解决方案的噪声问题的直接驱动和参数泵浦同时进行。我们还发现,在热机械噪声占主导地位的情况下,没有任何好处可以从人工Q增强技术。然而,在放大器噪声占主导地位的情况下,我们惊讶地观察到,一个显着的优势,只能使用参量泵浦的压缩区域。

英文摘要:

Resonant sensors based on Micro- and Nano-Electro Mechanical Systems (M/NEMS) are ubiquitous in many sensing applications due to their outstanding performance capabilities, which are directly proportional to the quality factor (Q) of the devices. We address here a recurrent question in the field: do dynamical techniques that modify the effective Q (namely parametric pumping and direct drive velocity feedback) affect the performance of said sensors? We develop analytical models of both cases, while remaining in the linear regime, and introduce noise in the system from two separate sources: thermomechanical and amplifier (read-out) noise. We observe that parametric pumping enhances the quality factor in the amplitude response, but worsens it in the phase response on the resonator. In the case of feedback, we find that Q is enhanced in both cases. Then, we establish a solution for the noisy problem with direct drive and parametric pumping simultaneously. We also find that, in the case when thermomechanical noise dominates, no benefit can be obtained from neither artificial Q-enhancement technique. However, in the case when amplifier noise dominates, we surprisingly observe that a significant advantage can only be achieved using parametric pumping in the squeezing region.

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