Non-Equilibrium Dynamics in Closed Interacting Quantum Systems
封闭相互作用量子系统中的非平衡动力学
基本信息
- 批准号:0907039
- 负责人:
- 金额:$ 24.06万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2009
- 资助国家:美国
- 起止时间:2009-09-15 至 2012-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).TECHNICAL SUMMARYThis award supports theoretical research and education focused on understanding fundamental aspects of quantum many-particle dynamics and their experimental consequences. A key goal is to develop a general formalism representing time evolution near various classical limits, for example particle, wave, mixed, rotational, etc., and apply it to various non-equilibrium systems. This work should significantly build on the PI's earlier work which proved the feasibility of this approach. The PI aims to pursue the possibility of analyzing the crossover from classical to quantum nonequilibrium behavior in various contexts. The PI intends to extend this formalism to fermionic systems and open systems coupled to a thermal bath. This representation of quantum dynamics will be contrasted with other existing approaches like the Keldysh technique and phase space methods. The PI's formalism together with other methods will be applied to specific problems of fundamental interest, including: thermalization in closed systems, dynamics of integrable and nonintegrable systems, formation of topological defects, perturbation of time evolution by external measurements, and slow and fast dynamics especially in low-dimensional systems. Special emphasis will be given to those applications, which can be tested in experiments. The research should lead to a better understanding of the role of the exponentially large Hilbert space on many-particle dynamics, how this exponential complexity becomes less and less relevant if one approaches the classical limit, and whether integrability of the system qualitatively affects various aspects of the quantum to classical crossover. The PI will also address other fundamental problems, including the conditions of existence and violation of adiabatic processes in closed systems. The PI will explore possibilities of using non-linear dynamical probes in closed systems to detect quasi-particle statistics, detect entanglement in low-dimensional systems, understand properties of asymptotic ensembles and connect them to statistics of work fluctuations and entropy generation. The role of nonintegrability, thermalization, and dimensionality of the system, which all likely play the crucial role in slow dynamics will be addressed. All major general theoretical results will be supplemented by specific proposals to experimentally test them in condensed matter, material, and cold atom systems.The PI will be engaged in educational activities at the graduate level and higher to develop, refine, and enhance courses in quantum mechanics, statistical physics, many-body physics, and physics of cold atoms; contribute pedagogical review articles; and participate in international schools on advanced topics. NON-TECHNICAL SUMMARYThis award supports theoretical research and education focused on understanding the dynamics of quantum mechanical interacting many-particle systems. Examples of such systems include electrons in materials and specialized semiconductor structures and atoms cooled to very low temperatures and trapped by light. This research seeks to develop a theory for these kinds of system. Part of the research focuses on analyzing the dynamics of quantum systems using entirely the language of the trajectories given by classical mechanics. This work highlights nontrivial connections between quantum dynamics, classical dynamics, and statistical physics. The PI also aims to advance understanding of driven quantum mechanical interacting many-body systems.The understanding of the dynamics of quantum mechanical many-body systems has broad consequences and contributes to intellectual foundations that may lead to future technologies.The PI plans to develop educational materials intended for a broad audience of non-specialists and to actively participate in domestic and international conferences, workshops, and schools.
该奖项由2009年美国复苏和再投资法案(公法111-5)资助。技术总结该奖项支持专注于理解量子多粒子动力学的基本方面及其实验结果的理论研究和教育。一个关键的目标是发展一种表示各种经典极限附近的时间演化的一般形式,例如粒子、波、混合、旋转等,并将其应用于各种非平衡系统。这项工作应该在PI早期工作的基础上进行,后者证明了这种方法的可行性。PI旨在探索在不同背景下分析从经典非平衡行为到量子非平衡行为交叉的可能性。PI打算将这种形式主义扩展到费米子系统和与热浴耦合的开放系统。量子动力学的这种表示将与其他现有的方法,如凯尔德什技术和相空间方法进行对比。PI的形式将与其他方法一起应用于基本感兴趣的具体问题,包括:封闭系统中的热化、可积系统和不可积系统的动力学、拓扑缺陷的形成、外部测量对时间演化的扰动,以及特别是在低维系统中的慢和快动力学。将特别强调那些可以在实验中测试的应用。这项研究应该能更好地理解指数大的希尔伯特空间在多粒子动力学中的作用,当一个人接近经典极限时,这种指数复杂性是如何变得越来越不相关的,以及系统的可积性是否定性地影响了量子到经典交叉的各个方面。PI还将解决其他基本问题,包括封闭系统中绝热过程的存在条件和破坏。PI将探索在封闭系统中使用非线性动力学探测器来检测准粒子统计、检测低维系统中的纠缠、了解渐近系综属性并将它们与功涨落和熵产生的统计联系起来的可能性。不可积性、热化和系统的维度的作用,所有这些都可能在慢速动力学中起到关键作用,将被讨论。所有主要的一般理论成果都将得到在凝聚态、材料和冷原子系统中进行实验测试的具体建议的补充。国际和平研究所将从事研究生及以上教育活动,开发、完善和加强量子力学、统计物理、多体物理和冷原子物理的课程;撰写教学评论文章;参加高级主题的国际学校。非技术总结该奖项支持专注于理解量子力学相互作用的多粒子系统的动力学的理论研究和教育。这类系统的例子包括材料和特殊半导体结构中的电子,以及冷却到极低温度并被光捕获的原子。本研究试图为这类制度发展出一套理论。部分研究集中于完全使用经典力学给出的轨迹语言来分析量子系统的动力学。这项工作突出了量子动力学、经典动力学和统计物理之间的重要联系。PI还旨在促进对受驱动的量子力学相互作用多体系统的理解。对量子力学多体系统动力学的理解具有广泛的后果,并有助于为未来的技术提供智力基础。PI计划开发面向广大非专业受众的教材,并积极参加国内和国际会议、研讨会和学校。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Anatoli Polkovnikov其他文献
水溶液系における液体・液体転移の 普遍的性質
水性体系中液-液转变的普遍性质
- DOI:
- 发表时间:
- 期刊:
- 影响因子:0
- 作者:
Ippei Danshita;Rafael Hipolito;Vadim Oganesyan;Anatoli Polkovnikov;村田 憲一郎 - 通讯作者:
村田 憲一郎
強く周期駆動された量子多体系における加熱過程を記述するフェルミの黄金率
费米黄金比例描述了强周期性驱动的量子多体系统中的加热过程
- DOI:
- 发表时间:
2021 - 期刊:
- 影响因子:0
- 作者:
池田達彦;Anatoli Polkovnikov - 通讯作者:
Anatoli Polkovnikov
Localized phase structures growing out of quantum fluctuations in a quench of tunnel-coupled atomic condensates.
隧道耦合原子凝聚体淬灭中量子涨落产生的局域相结构
- DOI:
10.1103/physrevlett.109.085304 - 发表时间:
2012 - 期刊:
- 影响因子:8.6
- 作者:
Clemens Neuenhahn;Anatoli Polkovnikov;Florian Marquardt - 通讯作者:
Florian Marquardt
正方晶PrZn11の一重項基底状態
四方 PrZn11 的单线态基态
- DOI:
- 发表时间:
2015 - 期刊:
- 影响因子:0
- 作者:
Roberta Citro;Emanuele G Dalla Torre;Luca D’Alessio;Anatoli Polkovnikov;Mehrtash Babadi;Takashi Oka;Eugene Demler;二宮博樹,佐藤嵩晃,松本裕司,大原繁男,河野洋平,橘高俊一郎,榊原俊郎 - 通讯作者:
二宮博樹,佐藤嵩晃,松本裕司,大原繁男,河野洋平,橘高俊一郎,榊原俊郎
「学界展望国際政治」Christopher S. Parker, Fighting for Democracy : Black Veterans and the Struggle against White Supremacy in the Postwar South
“国际政治的学术视角”克里斯托弗·帕克(Christopher S. Parker),《为民主而战:黑人退伍军人和战后南方反对白人至上主义的斗争》
- DOI:
- 发表时间:
2014 - 期刊:
- 影响因子:0
- 作者:
Tatsuhiko N. Ikeda;Naoyuki Sakumichi;Anatoli Polkovnikov;and Masahito Ueda;三浦瑠麗 - 通讯作者:
三浦瑠麗
Anatoli Polkovnikov的其他文献
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{{ truncateString('Anatoli Polkovnikov', 18)}}的其他基金
Non-Equilibrium Dynamics in Closed Interacting Quantum Systems
封闭相互作用量子系统中的非平衡动力学
- 批准号:
2103658 - 财政年份:2021
- 资助金额:
$ 24.06万 - 项目类别:
Continuing Grant
Non-Equilibrium Dynamics in Closed Interacting Quantum Systems
封闭相互作用量子系统中的非平衡动力学
- 批准号:
1813499 - 财政年份:2018
- 资助金额:
$ 24.06万 - 项目类别:
Continuing Grant
Non-Equilibrium Dynamics in Closed Interacting Quantum Systems
封闭相互作用量子系统中的非平衡动力学
- 批准号:
1506340 - 财政年份:2015
- 资助金额:
$ 24.06万 - 项目类别:
Continuing Grant
Non-Equilibrium Dynamics in Closed Interacting Quantum Systems
封闭相互作用量子系统中的非平衡动力学
- 批准号:
1206410 - 财政年份:2012
- 资助金额:
$ 24.06万 - 项目类别:
Continuing Grant
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