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EAGER: Fluctuations and dissipation in nonlinear mesoscopic vibrational systems

EAGER：非线性介观振动系统中的波动和耗散

基本信息

批准号：
1514591
负责人：
Mark Dykman
金额：
$ 28万
依托单位：
Michigan State University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2015
资助国家：
美国
起止时间：
2015-08-01 至 2018-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1514591&HistoricalAwards=false
关键词：
EAGER Fluctuations dissipation nonlinear mesoscopic

项目摘要

Non-technical abstract Today's technology allows the fabrication of devices with sizes on the order of nanometers that are used in a variety of applications such as light modulation and mass measurements in labs-on-a-chip. The functioning of these nano electro-mechanical systems, or NEMS, can currently be fairly well understood using the laws of classical mechanics first developed by Newton. However, as the device size continues to shrink new effects will emerge that govern their behavior. For very small devices Newton's laws are no longer valid and the more mysterious and counterintuitive laws of quantum mechanics will govern the behavior. In addition, fluctuations and non-linearity's in the device will become more important. This EAGER brings together an experimental and theoretical physicist to develop new analytical tools and experimental methods to understand, predict and control NEMS when fluctuations and non-linear behavior become important. This will have important practical consequences as these devices are used for mass, charge and force measurements, accurate frequency sources and electro-optic modulators. Graduate students involved in this project will learn state of the art experimental and theoretical techniques and will gain valuable experience working in an experimental-theoretical collaboration.Technical abstract NEMS are the best characterized platform for studies of quantum and classical fluctuations far from equilibrium, including such phenomena as interstate switching and optomechanical cooling and heating. However, there remain major questions concerning the very origin of the fluctuations and the mechanisms of dissipation in these systems, as well as the interplay of fluctuations, dissipation, and nonlinearity. Conventional theories of open quantum and classical systems are insufficient, as they do not adequately describe substantially nonlinear vibrations and the effects of non-Gaussian fluctuations. The research supported by this grant will develop theoretical and experimental means for separating and identifying eigenfrequency fluctuations and studying their statistics and spectra. In turn, this will make it possible to establish their microscopic mechanism. In a broader context, the proposed studies pave the way to understanding general features of classical and quantum fluctuations away from thermal equilibrium using nonlinear NEMS driven by strong periodic fields.

非技术摘要今天的技术允许制造尺寸在纳米量级的器件，这些器件用于各种应用，例如光调制和芯片实验室中的质量测量。这些纳米机电系统（NEMS）的功能目前可以使用牛顿首次提出的经典力学定律来很好地理解。然而，随着设备尺寸的不断缩小，将出现新的影响，控制他们的行为。对于非常小的设备，牛顿定律不再有效，更神秘和违反直觉的量子力学定律将支配其行为。此外，器件中的波动和非线性将变得更加重要。 EAGER汇集了实验和理论物理学家，开发新的分析工具和实验方法，以了解，预测和控制NEMS时，波动和非线性行为变得重要。这将有重要的实际后果，因为这些设备用于质量，电荷和力的测量，精确的频率源和电光调制器。参与该项目的研究生将学习最先进的实验和理论技术，并将获得在实验-理论合作中工作的宝贵经验。技术摘要NEMS是研究远离平衡的量子和经典波动的最佳特征平台，包括状态间切换和光机械冷却和加热等现象。然而，仍然有重大的问题，在这些系统中的波动和耗散机制的起源，以及波动，耗散和非线性的相互作用。开放量子和经典系统的传统理论是不够的，因为它们不能充分描述实质上的非线性振动和非高斯波动的影响。该研究将开发理论和实验手段，用于分离和识别本征频率波动，并研究其统计和光谱。反过来，这将使建立其微观机制成为可能。在更广泛的背景下，所提出的研究铺平了道路，以了解经典和量子波动远离热平衡的一般特征，使用非线性NEMS驱动的强周期性字段。