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arXiv 1807.00883cond-mat.mes-hallcond-mat.stat-mech
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作为数字信号检测器的驱动非线性纳米机械谐振器

Driven nonlinear nanomechanical resonators as digital signal detectors

Yukihiro Tadokoro, Hiroya Tanaka, M. I. Dykman

摘要:

共振驱动纳米机械系统的振动模式由于其非线性,在一定的驱动力振幅范围内,存在共存的受迫振动稳定态。根据其相位(编码二进制信息),相同频率的信号会增加或减少力的振幅。由此产生的力幅度可以在双稳态范围之外。模式振幅的值在双稳区域的相对侧上显著不同。因此,模式振幅对信号相位非常敏感。这建议使用驱动模式作为双向分叉放大器,其根据信号相位在相反方向上切换并提供基本上数字输出。我们研究了放大器在临界点附近的工作情况,在临界点处,双稳区的宽度趋于零,因此信号幅度的阈值较低。我们还开发了一种分析技术,并研究了阈值附近的错误率。结果适用于广泛的目前研究的系统,并扩展到微机械系统和非线性电磁腔。

英文摘要:

Because of their nonlinearity, vibrational modes of resonantly driven nanomechanical systems have coexisting stable states of forced vibrations in a certain range of the amplitude of the driving force. Depending on its phase, which encodes binary information, a signal at the same frequency increases or decreases the force amplitude. The resulting force amplitude can be outside the range of bistability. The values of the mode amplitude differ significantly on the opposite sides of the bistability region. Therefore the mode amplitude is very sensitive to the signal phase. This suggests using a driven mode as a bi-directional bifurcation amplifier, which switches in the opposite directions depending on the signal phase and provides an essentially digital output. We study the operation of the amplifier near the critical point where the width of the bistability region goes to zero and thus the threshold of the signal amplitude is low. We also develop an analytical technique and study the error rate near the threshold. The results apply to a broad range of currently studied systems and extend to micromechanical systems and nonlinear electromagnetic cavities.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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