Monte Carlo Studies of entanglement and mutual information in interacting quantum many-body systems

相互作用量子多体系统中纠缠和互信息的蒙特卡罗研究

• 批准号: 225020562
• 负责人: Professor Stefan Wessel, Ph.D.
• 金额: --
• 依托单位: Institut für Theoretische Festkörperphysik C
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/225020562?language=en
• 关键词: Monte; Carlo; Studies; entanglement; mutual

The goal of this proposal is to provide a systematic exploration of the entanglement properties and mutual information at finite temperature in interacting quantum many-body systems in two and three dimensions based on recently developed, unbiased large scale quantum Monte Carlo simulation schemes. Universal sub-leading corrections to the area law in the entanglement entropy will be analyzed for magnetic models with conventional and topologically ordered phases as well as near and at quantum phase transitions. The universality of such correction terms and their relation to spontaneous symmetry breaking, edge and corner contributions will be assessed. The quantum Monte Carlo simulation algorithms required for these investigations will be augmented by extended ensemble methods.

该提案的目标是基于最近开发的无偏大规模量子蒙特卡罗模拟方案，对二维和三维相互作用的量子多体系统在有限温度下的纠缠特性和互信息进行系统探索。将针对具有常规相和拓扑有序相以及近量子相变和量子相变的磁模型，分析对纠缠熵中面积定律的通用次超前修正。将评估此类校正项的普遍性及其与自发对称破缺、边缘和角贡献的关系。这些研究所需的量子蒙特卡罗模拟算法将通过扩展系综方法得到增强。

项目成果

Ground state phase diagram of the half-filled bilayer Hubbard model

半填充双层哈伯德模型的基态相图

• DOI: 10.1103/physrevb.90.195131
• 发表时间: 2014
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: M. Golor;T. Reckling;L. Classen;M. M. Scherer;S. Wessel
• 通讯作者: S. Wessel

Nonlocal density interactions in auxiliary-field quantum Monte Carlo simulations: application to the square lattice bilayer and honeycomb lattice

• DOI: 10.1103/physrevb.92.195154
• 发表时间: 2015-09
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Michael Golor;S. Wessel

Entanglement entropy scaling in the bilayer Heisenberg spin system

• DOI: 10.1103/physrevb.89.245120
• 发表时间: 2014-06-13
• 期刊: PHYSICAL REVIEW B
• 影响因子: 3.7
• 作者: Helmes, Johannes;Wessel, Stefan
• 通讯作者: Wessel, Stefan

Spin dynamics of the bilinear-biquadratic S =1 Heisenberg model on the triangular lattice: A quantum Monte Carlo study

• DOI: 10.1103/physrevb.91.165128
• 发表时间: 2014-12
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: A. Voll;S. Wessel

Correlations and entanglement in quantum critical bilayer and necklace XY models

• DOI: 10.1103/physrevb.92.125120
• 发表时间: 2014-11
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: J. Helmes;S. Wessel