Strong many-particle localization by constructed disorder
构造无序的强多粒子定位
基本信息
- 批准号:0555346
- 负责人:
- 金额:$ 27.4万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2006
- 资助国家:美国
- 起止时间:2006-06-01 至 2010-12-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
The goal of the proposed research is to study localization in a many-particle system. Of central interest is on-site localization of all many-particle states, with effective localization length smaller than the intersite distance. Besides localization of stationary states, it is proposed to study the localization lifetime. Bounded sequences of on-site energies will be constructed that efficiently suppress resonant hopping. For these sequences, the single-particle localization transition will be analyzed and sharp bounds on the decay length will be obtained. Strong on-site localization of all many-particle states will be studied for a finite length chain. For an infinite system and an arbitrary number of particles, of primary interest will be the localization lifetime. It will be shown to scale as a high power of the ratio of the bandwidth of site energies to the intersite hopping integral, both for weak and strong particle-particle interaction. For a finite chain, optimization of the energy sequence in order to obtain maximal lifetime for a given bandwidth will be considered. Stability with respect to errors in site energies, the effect of long-range interaction, and the role of decoherence due to coupling to an external reservoir will be studied. In addition to graduate training, carried out jointly by a physicist and a mathematician, the research topic includes undergraduate participation. The students involved in the proposed research should benefit from a weekly interdisciplinary seminar of the Institute for Quantum Sciences organized by the PI at MSU.
拟议的研究的目的是研究在许多粒子系统中的定位。中心利益的是所有许多粒子状态的现场定位,其有效定位长度小于站点距离。除了固定状态的定位外,还建议研究本地化寿命。将构建现场能量的有界序列,以有效抑制共振剂跳跃。对于这些序列,将分析单粒子定位跃迁,并在衰减长度上获得锋利的边界。将研究有限长度链的所有多粒子状态的强烈现场定位。对于无限系统和任意数量的粒子,主要兴趣的是本地化寿命。它将显示为缩放位置能量与跨站点跳的带宽比弱和强粒子粒子相互作用的高功率。对于有限的链,将考虑对能量序列的优化,以获得给定带宽的最大寿命。将研究对位点能量中的误差,远程相互作用的影响以及由于与外部储层耦合引起的反应作用的稳定性。除了由物理学家和数学家共同进行的研究生培训外,研究主题还包括本科参与。参与拟议研究的学生应受益于由PI在MSU组织的量子科学研究所的每周跨学科研讨会。
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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Mark Dykman其他文献
Mark Dykman的其他文献
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{{ truncateString('Mark Dykman', 18)}}的其他基金
Quantum Dynamics and Fluctuations in Nonlinear Nanomechanical Systems
非线性纳米机械系统中的量子动力学和涨落
- 批准号:
1806473 - 财政年份:2018
- 资助金额:
$ 27.4万 - 项目类别:
Continuing Grant
Collaborative Research: Nonlinear Coupling and Relaxation Mechanisms in Micro-mechanics
合作研究:微观力学中的非线性耦合和弛豫机制
- 批准号:
1661618 - 财政年份:2017
- 资助金额:
$ 27.4万 - 项目类别:
Standard Grant
EAGER: Fluctuations and dissipation in nonlinear mesoscopic vibrational systems
EAGER:非线性介观振动系统中的波动和耗散
- 批准号:
1514591 - 财政年份:2015
- 资助金额:
$ 27.4万 - 项目类别:
Continuing Grant
Workshop on Quantum Information Processing and Nanoscale Systems, Washington, DC; Sept 10-11,2007.
量子信息处理和纳米系统研讨会,华盛顿特区;
- 批准号:
0738338 - 财政年份:2007
- 资助金额:
$ 27.4万 - 项目类别:
Standard Grant
Conference on Quantum Information Science
量子信息科学会议
- 批准号:
0619244 - 财政年份:2006
- 资助金额:
$ 27.4万 - 项目类别:
Standard Grant
Large Fluctuations in Systems Lacking Time-reversal Symmetry
缺乏时间反转对称性的系统中的大波动
- 批准号:
0071059 - 财政年份:2000
- 资助金额:
$ 27.4万 - 项目类别:
Continuing Grant
Theory of Large Fluctuations in Systems Away From Thermal Equilibrium
远离热平衡系统的大波动理论
- 批准号:
9722057 - 财政年份:1997
- 资助金额:
$ 27.4万 - 项目类别:
Continuing Grant
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