Constructing Formula of Nonequilibrium Physics by using Quantum Continuous Measurement and Quantum Field Theory

利用量子连续测量和量子场论构造非平衡物理公式

• 批准号: 24840015
• 负责人: YU Watanabe
• 金额: $ 1.91万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Research Activity Start-up
• 财政年份: 2012
• 资助国家: 日本
• 起止时间: 2012-08-31 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-24840015/
• 关键词: 量子エレクトロニクス; 量子情報; 物性基礎論; 情報基礎; 量子情報理論; 量子測定理論; 量子統計力学

We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers outcomes of the measurement. The generalized second law of thermodynamics under measurement and feedback control is reproduced from these equalities. We also show that entanglement can be utilized to extract the thermodynamic work beyond classical correlation via feedback control. We propose new hypothesis for thermalization of isolated quantum systems, and show the hypothesis gives larger contribution than well known hypothesis to the thermalization. We also show that the system thermalize even if it is integrable.We analyze a simultaneous continuous measurement of photon-counting and homodyne detection. A formula for the expectation values of the homodyne records conditioned on a photon-counting event is also derived, which quantitatively describes the measurement backaction of photon-counting on the homodyne output.

我们推导出积分量子涨落定理和量子Jarzynski等式的反馈控制系统和存储器的记录结果的测量。从这些等式中再现了测量和反馈控制下的广义热力学第二定律。我们还表明，纠缠可以用来提取超过经典关联通过反馈控制的热力学功。我们提出了孤立量子系统热化的新假设，并证明了该假设对热化的贡献比已知的假设更大。我们还证明了即使系统是可积的，系统也会热化。我们分析了光子计数和零差探测的同时连续测量。导出了光子计数事件条件下零差记录的期望值公式，定量地描述了光子计数对零差输出的测量反作用。

项目成果

Formulation of Uncertainty Relations by using Quantum Estimation Theory

使用量子估计理论建立不确定性关系

• 发表时间: 2012
• 作者: Sakie Suzuki;渡辺優
• 通讯作者: 渡辺優

Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory

• DOI: 10.1007/978-4-431-54493-7
• 发表时间: 2013-12
• 作者: Yu Watanabe

量子推定論―基礎から不確定性関係への応用まで―

量子估计理论——从基础到应用再到不确定性关系——

• 发表时间: 2013
• 作者: 藤嶋陽平;渡辺優
• 通讯作者: 渡辺優

Eigenstate Randomization Hypothesis : a thermalization mechanism on isolated quantum systems

本征态随机化假说：孤立量子系统的热化机制

• 发表时间: 2013
• 作者: 澤木佑介;他6名;Yu Watanabe
• 通讯作者: Yu Watanabe

Formulation of Uncertainty Relation by using Quantum Information Geometry

使用量子信息几何表述不确定性关系

• 作者: Robert J Geller;Kenji Kawai;Kensuke Konishi;and Nobuaki Fuji;渡辺 優
• 通讯作者: 渡辺 優