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）资助的。该职业奖支持综合研究和教育计划，强调反馈控制和纠缠产生的理论研究，并在固态系统中进行连续量子测量。一个描述量子态演化的理论将被发展出来。它应用随机路径积分来解释量子系统的实时反馈。这一理论将为量子控制理论、非幺正量子动力学和测量问题提供新的思路。还将开发用于制造量子霍尔几何结构的实验的理论建议。该奖项支持的工作提供了一个良好的环境，将研究生引入理论物理的前沿领域，与并行实验活动密切相关。这个职业奖的教育部分包括为当地高中生开发一个量子陌生感课程，该课程建立在成功和长期的罗切斯特学者项目的基础上。还将开发一系列小型讲座和演示，以使当地高中生对量子物理学的基础知识更感兴趣。该计划为当地高中学生提供在学校休息和夏季，感兴趣的本科物理学生将参与设备设置，协助演示，并与来访的高中学生单独工作。该系列讲座将教育和兴趣的高中学生在量子物理学的一些最令人兴奋和有趣的领域。该职业奖支持关于如何控制材料中的量子力学状态的综合理论研究和教育计划，并促进对量子力学测量后果的理解。最近的实验进展已经使人们能够放置原子，并制造出比人类头发小一万到十万倍的结构。这开启了操纵量子力学状态以制造新设备技术的可能性。在这个微小的世界里，量子力学与我们更熟悉的描述宏观世界的经典力学相反，提供了适当的描述。该研究项目的重点是量子力学态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开发反馈的模拟。许多基于经典力学的设备使用输出信号来控制其操作并实现所需的结果。量子力学对测量以及反馈的可能性提出了限制。控制材料中量子力学状态的能力将构成一项重大技术突破，并为量子世界提供一个新的窗口。这项工作有助于量子工程和量子信息科学的新兴领域，这可能会导致新的设备技术，特别是信息技术。这个职业奖的教育部分包括为当地高中生开发量子奇异课程，该课程建立在成功和长期的罗切斯特学者计划的基础上。还将开发一系列小型讲座和演示，以使当地高中生对量子物理学的基础知识更感兴趣。该计划为当地高中学生提供在学校休息和夏季，感兴趣的本科物理学生将参与设备设置，协助演示，并与来访的高中学生单独工作。该系列讲座将教育和兴趣的高中学生在量子物理学的一些最令人兴奋和有趣的领域。

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.