Dynamical effects and non-equilibrium in correlated quantum systems within the framework of matrix product states and renormalization group

矩阵乘积态和重正化群框架内相关量子系统的动力学效应和非平衡

• 批准号: 183054568
• 负责人: Dr. Andreas Weichselbaum, Ph.D.
• 金额: --
• 依托单位: Brookhaven National Laboratory
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2011
• 资助国家: 德国
• 起止时间: 2010-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/183054568?language=en
• 关键词: Dynamical; effects; non; equilibrium; correlated

This proposal is targeted towards dynamical effects such as real-time evolution and nonequilibrium effects in strongly correlated quantum-many-body systems. The emphasis lies on periodically driven quantum impurity systems as well as transport through quantum systems coupled to leads at finite voltage bias. In both cases, the system is driven towards a non-equilibrium steady state, the properties of which are strongly debated in current literature given the very limited number of tools for their analysis. My expertise lies within numerical renormalization group theories. The numerical codes in that respect I have developed through the past few years on the broad and general basis of matrix product states strongly discussed also in the context of quantum information science. The projects outlined here therefore can clearly build on this existing expertise. Given the complexity of the topics described, it would be considered a clear milestone in the description of these systems if a reliable non-perturbative treatment of non-equilibrium steady states emerges that can go beyond simple models for very specific parameter settings.

这个建议是针对动力学效应，如实时演化和强关联量子多体系统中的非平衡效应。重点在于周期性驱动的量子杂质系统，以及通过量子系统耦合到导致有限的电压偏置的输运。在这两种情况下，该系统被驱动到一个非平衡的稳定状态，其属性是强烈的争论，在目前的文献中给出了非常有限的数量的工具，他们的分析。我的专长在于数值重整化群理论。在这方面，我在过去几年中在矩阵乘积态的广泛和一般基础上开发的数字代码也在量子信息科学的背景下进行了有力的讨论。因此，这里概述的项目显然可以利用现有的专门知识。考虑到所述专题的复杂性，如果能对非平衡稳态进行可靠的非微扰处理，超越非常具体的参数设置的简单模型，将被视为描述这些系统的一个明确的里程碑。

项目成果

Identifying symmetry-protected topological order by entanglement entropy

• DOI: 10.1103/physrevb.88.245121
• 发表时间: 2013-06
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Wei Li;A. Weichselbaum;J. Delft

Proposed Rabi-Kondo correlated state in a laser-driven semiconductor quantum dot.

激光驱动半导体量子点中提出的拉比-近藤相关态

• DOI: 10.1103/physrevlett.111.157402
• 发表时间: 2013
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: B. Sbierski;M. Hanl;A. Weichselbaum;H. E. Türeci;M. Goldstein;L. I. Glazman;J. von Delft;A. Imamoglu
• 通讯作者: A. Imamoglu

Tensor networks and the numerical renormalization group

• DOI: 10.1103/physrevb.86.245124
• 发表时间: 2012-09
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: A. Weichselbaum

Non-abelian symmetries in tensor networks: A quantum symmetry space approach

• DOI: 10.1016/j.aop.2012.07.009
• 发表时间: 2012-02
• 期刊: Annals of Physics
• 影响因子: 3
• 作者: A. Weichselbaum