The Quantum-Classical Correspondence for Nonlinear Resonator Systems

非线性谐振器系统的量子经典对应

• 批准号: 1104790
• 负责人: Miles Blencowe
• 金额: $ 23.5万
• 依托单位: Dartmouth College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-09-01 至 2015-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1104790&HistoricalAwards=false
• 关键词: Quantum; Classical; Correspondence; Nonlinear; Resonator

TECHNICAL SUMMARYThis award supports theoretical research and education on nonlinear resonators and the how the microscopic quantum world leads to the macroscopic classical world of our everyday experience. Nonlinear resonator systems can exhibit qualitative differences between their derived quantum and classical dynamical behavior. Both the nature and extent of these corresponding quantum-classical differences depend crucially on the strength and type of environment and measurement probe to which the resonator couples. Recent advances in the development of low-decoherence electronic devices that are strongly coupled to high quality factor mechanical or superconducting microwave resonators present an ideal opportunity to investigate the quantum-classical correspondence for these nonlinear resonator-environment systems. Such an investigation is relevant for understanding how the macroscopic classical world emerges by approximation from the quantum world, as well as for the very practical task to develop quantum-limited measurement schemes that exploit the resonator system nonlinearities.The PI research consists of two nonlinear resonator projects. In project one, the PI will develop the theory for recent and planned experiments that investigate the dynamics of a macroscopic mechanical resonator interacting piezoelectrically with electrons tunneling through a quantum point contact that is embedded in the resonator. In project two, the PI will develop the theory for experiments underway that investigate the dynamics of a novel, low noise superconducting microwave resonator scheme with embedded Josephson junction device.The projects will provide training for one graduate student and two undergraduate students in the craft of theoretical physics, gaining expertise in such areas as many body theory, mesoscopic quantum physics, nonlinear dynamics, quantum optics, and advanced computing techniques.NONTECHNICAL SUMMARYThis award supports theoretical research and education to study the operation of resonators that lie precariously at the boundary of the world of quantum mechanics that governs the behavior electrons, atoms, and molecules, and the world of classical mechanics that we experience every day. Common examples of mechanical resonators include a pendulum that swings or a beam that vibrates at a characteristic frequency when plucked. To approach the quantum world, the mechanical resonators the PI will investigate are tiny beams some 10,000 times smaller than the width of a human hair. The PI will investigate more complex examples of resonators involving mechanical, electrical, and optical systems that are specially designed to probe the emergence of the classical world from the quantum mechanical world. The research is carried out in close connection to experiments and builds on fundamental principles of condensed matter and materials physics to test and to advance fundamental understanding of the world. One theme of the research is to advance our fundamental understanding of the limitations quantum mechanics places on how accurately physical quantities can be measured.

该奖项支持非线性谐振器的理论研究和教育，以及微观量子世界如何导致我们日常经验的宏观经典世界。非线性谐振器系统可以表现出其导出的量子和经典动力学行为之间的定性差异。这些相应的量子-经典差异的性质和程度都取决于谐振器耦合的环境和测量探针的强度和类型。最近的进展，在低退相干电子器件的发展，强耦合到高品质因数的机械或超导微波谐振器提供了一个理想的机会，调查这些非线性谐振器的环境系统的量子经典对应。这样的调查是相关的理解宏观经典世界如何出现从量子世界的近似，以及非常实际的任务，开发量子限制的测量方案，利用谐振器系统的非线性。PI研究包括两个非线性谐振器项目。在项目一中，PI将为最近和计划中的实验开发理论，这些实验研究宏观机械谐振器与嵌入谐振器中的量子点接触的电子隧穿压电相互作用的动力学。在项目二中，PI将为正在进行的实验开发理论，该实验研究了一种新型的低噪声超导微波谐振器方案，其中嵌入了约瑟夫森结器件。该项目将为一名研究生和两名本科生提供理论物理方面的培训，获得多体理论，介观量子物理，非线性动力学，量子光学，非技术性总结该奖项支持理论研究和教育，以研究谐振器的操作，谐振器位于量子力学世界的边界，控制电子，原子和分子的行为，以及我们每天经历的经典力学世界。机械共振器的常见例子包括摆动的钟摆或在拨动时以特征频率振动的梁。为了接近量子世界，PI将研究的机械谐振器是比人类头发宽度小10，000倍的微小光束。PI将研究涉及机械，电气和光学系统的谐振器的更复杂的例子，这些谐振器专门设计用于探测量子力学世界中经典世界的出现。该研究与实验密切相关，并建立在凝聚态和材料物理学的基本原理基础上，以测试和推进对世界的基本理解。 研究的一个主题是推进我们对量子力学在如何准确测量物理量方面的局限性的基本理解。