CAREER: Theory of Feedback and Entanglement with Continuous Quantum Measurement in the Solid State

该奖项是根据2009年《美国复苏和再投资法案》(公法111-5)提供资金的。技术总结这个职业奖项支持一个综合研究和教育计划，重点是固态系统中反馈控制和纠缠产生的连续量子测量的理论研究。将开发一种描述量子态演化的理论。它应用随机路径积分来解释对量子系统的实时反馈。这一理论将为量子控制理论、非么正量子动力学和测量问题提供新的启示。还将为制作的量子霍尔几何结构的实验提供理论建议。该奖项支持的工作为研究生提供了一个良好的环境，使他们能够接触到理论物理的前沿领域，并与平行实验活动密切相关。这一职业奖项的教育部分包括为当地高中生开发一门量子陌生感课程，该课程建立在成功和长期存在的罗切斯特学者计划的基础上。还将开发一系列迷你讲座和演示，以使当地高中生对量子物理基础更感兴趣。这项针对当地高中生的课程在学校放假和暑假期间提供，感兴趣的本科生将参与设备设置，协助演示，并与来访的高中生单独工作。该系列讲座将教育高中生，并使他们对量子物理中一些最令人兴奋和感兴趣的领域感兴趣。非技术总结这个职业奖项支持一个关于如何控制材料中的量子力学状态和促进对量子力学对测量结果的理解的综合理论研究和教育计划。最近的实验进展导致了放置原子和制造比人类头发小十几到十万倍的结构的能力。这为操纵量子力学状态来制造新的设备技术打开了可能性。在这个微小的世界中，量子力学与描述我们宏观世界的更熟悉的经典力学相反，提供了适当的描述。这个研究项目集中在量子力学如何纠缠形成纠缠态，量子力学对测量的影响，以及如何在量子力学世界中发展反馈的模拟。许多基于经典力学的设备使用输出信号来控制它们的操作，并实现所需的结果。量子力学限制了测量以及反馈的可能性。控制材料中的量子力学状态的能力将构成一项重大的技术突破，并为进入量子世界提供了一个新的窗口。这项工作对量子工程和量子信息科学的新兴领域做出了贡献，这可能会导致新的设备技术，特别是信息技术。这一职业奖项的教育部分包括为当地高中生开发一门量子陌生感课程，该课程建立在成功和长期的罗切斯特学者计划的基础上。还将开发一系列迷你讲座和演示，以使当地高中生对量子物理基础更感兴趣。这项针对当地高中生的课程是在学校放假和暑假期间提供的，感兴趣的本科生将参与设备安装，协助演示，并与来访的高中生单独工作。该系列讲座将教育高中生，并使他们对量子物理中一些最令人兴奋和感兴趣的领域感兴趣。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5). TECHNICAL SUMMARY This CAREER award supports an integrated research and education program emphasizing the theoretical study of feedback control and entanglement production with continuous quantum measurement in solid state systems. A theory will be developed that describes quantum state evolution. It applies stochastic path integrals to account for real-time feedback on the quantum system. This theory should shed new light on quantum control theory, non-unitary quantum dynamics, and the measurement problem. Theoretical proposals for experiments in fabricated quantum Hall geometries will also be developed. The work supported under this award provides a good environment to introduce graduate students to a frontier area of theoretical physics, intimately connected with parallel experimental activity. The educational component of this CAREER award includes the development of a quantum strangeness course for local high school students that builds on the successful and long-standing Rochester Scholars programs. A series of mini-lectures and demonstrations will also be developed to get local high school students more interested in the basics of quantum physics. This program for local high-school students is offered during the school breaks and the summer, and interested undergraduate physics students will be involved in equipment set-up, assist in the demonstrations, and work individually with visiting high school students. The lecture series will educate and interest high school students in some of the most exciting and intriguing areas of quantum physics. NONTECHNICAL SUMMARY This CAREER award supports an integrated theoretical research and education program on how to control quantum mechanical states in materials and to advance understanding of the consequences of quantum mechanics on measurement. Recent experimental advances have led to the ability to place atoms and make structures that are some ten to a hundred thousand times smaller than a human hair. This opens the possibility of manipulating quantum mechanical states to make new device technologies. In this world of the tiny, quantum mechanics as opposed to the more familiar classical mechanics that describes our macroscopic world, provides the appropriate description. This research project focuses on how quantum mechanical states entwine to form entangled states, the consequences of quantum mechanics on measurement, and how to develop the analog of feedback in the quantum mechanical world. Many devices based on classical mechanics use the output signal to control their operation and enable a desired result. Quantum mechanics places constraints on measurement and how feedback might be possible. The ability to control quantum mechanical states in materials would constitute a major technological breakthrough and provides a new window into the quantum world. This work contributes to the emerging areas of quantum engineering and quantum information science which may lead to new device technologies, particularly information technologies.The educational component of this CAREER award includes the development of a quantum strangeness course for local high school students that builds on the successful and long-standing Rochester Scholars programs. A series of mini-lectures and demonstrations will also be developed to get local high school students more interested in the basics of quantum physics. This program for local high-school students is offered during the school breaks and the summer, and interested undergraduate physics students will be involved in equipment set-up, assist in the demonstrations, and work individually with the visiting high school students. The lecture series will educate and interest high school students in some of the most exciting and intriguing areas of quantum physics.