Statistical descriptions of interacting disordered quantum system

相互作用的无序量子系统的统计描述

• 批准号: 2460758
• 金额: --
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2460758
• 关键词: Statistical; descriptions; interacting; disordered; quantum

Quantum systems can encode information, but this information quickly becomes inaccessible if the associated degrees of freedom coupled with the environment. A key recent realization points towards a mechanism whereby quantum information can be localised by combining interactions with the generic disorder. This turns previously undesired artefacts into a highly valuable resource.This project aims to transfer this picture to a wider context, such as dynamically evolving systems or systems with additional internal degrees of freedom or dimensions. In particular, the student will make use of flexible quantum-circuit models and explore statistical description based on random-matrix theory.

量子系统可以对信息进行编码，但如果相关的自由度与环境相结合，这些信息很快就会变得不可访问。最近的一个关键认识指向一种机制，通过这种机制，量子信息可以通过与一般无序的相互作用相结合来定位。这将以前不需要的人工制品变成了非常有价值的资源。该项目旨在将这种情况转移到更广泛的背景下，例如动态演化的系统或具有额外内部自由度或维度的系统。特别是，学生将利用灵活的量子电路模型并探索基于随机矩阵理论的统计描述。