Theoretical study of detection and control of quantum coherence using a multi-dimensional spectrum

利用多维光谱检测和控制量子相干性的理论研究

• 批准号: 22350006
• 负责人: TANIMURA Yoshitaka
• 金额: $ 12.06万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22350006/
• 关键词: 散逸系の量子階層方程式; 多次元分光; 励起子; 量子情報; 共鳴トンネルダイオード; 量子ラチェット

We theoretically investigate a role of quantum coherence under a dissipative environment by means of the reduced hierarchy equations of motion approach. The set of equations treats the bath in a nonperturbative manner and is applicable to a low-temperature system with taking into account the non-Markovian correlation time of noise. In addition, this formalism allows us to treat both the classical limit and the tunneling regimes, and it is helpful for identifying purely quantum mechanical effects. By employing the Caldeira-Leggett Hamiltonian, we rigorously calculated the quantum dissipative dynamics of a ratchet system described by a periodic potential model and resonant tunneling problems. We then extended the reduced hierarchy equations of motion approach to include both overdamped and underdamped Drude to study electron transfer processes. Non-Markovianity was also studied from this approach. Nonlinear response functions were also utilized to analyze a role of quantum coherence.

我们从理论上研究了量子相干性在耗散环境中的作用。该方程组以非微扰的方式处理浴，并考虑到噪声的非马尔可夫关联时间，适用于低温系统。此外，这种形式允许我们同时处理经典极限和隧道区域，并且有助于识别纯粹的量子力学效应。利用Caldeira-Leggett哈密顿量，我们严格计算了由周期势模型描述的棘轮系统的量子耗散动力学和共振隧穿问题。然后，我们扩展了减少层次运动方程的方法，包括过阻尼和欠阻尼德鲁德研究电子转移过程。非马尔可夫性也从这个方法进行了研究。非线性响应函数也被用来分析量子相干性的作用。

项目成果

Dephasing by a continuous-time random walk process.

通过连续时间随机游走过程进行移相。

• DOI: 10.1103/physreve.86.011130
• 发表时间: 2012
• 期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
• 作者: Daniel M. Packwood;Y. Tanimura
• 通讯作者: Y. Tanimura

Non-Markovianity: initial correlations and nonlinear optical measurements.

• DOI: 10.1098/rsta.2011.0203
• 发表时间: 2012-08-13
• 期刊: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
• 作者: Dijkstra AG;Tanimura Y
• 通讯作者: Tanimura Y

Quantum Ratchet Rectification in a Brownian System Driven by Biharmonic Force

双调和力驱动的布朗系统中的量子棘轮整流

• 作者: 近藤弘隆;平岡秀一;森田靖;斉藤真司;采女俊介,影山拓哉,高瀬雅祥,野村琴広,西長 亨;鈴木正樹;(A. Kato) and Y. Tanimura
• 通讯作者: (A. Kato) and Y. Tanimura

低振動分光に対応した新しい分極水モデルの開発

开发与低振动光谱兼容的新型极化水模型

• 发表时间: 2013
• 作者: 伊藤広伸;谷村吉隆
• 通讯作者: 谷村吉隆

NonMarkovian, nonpurtabative, nonsecular quantum hierarchy equations of motion approach

非马尔可夫、非purtabative、非世俗量子层次运动方程方法

• 发表时间: 2011
• 作者: Y. Morita ;S. Fukuzumi;他12人;Y.Tanimura
• 通讯作者: Y.Tanimura