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耦合，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，量子信息可以通过将相互作用与一般的无序相结合来定位。这个项目的目的是将这幅图转移到更广泛的背景下，例如动态演化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。