Strongly Interacting Quantum Dynamics

强相互作用的量子动力学

• 批准号: EP/Y00468X/1
• 负责人: Mike Blake
• 金额: $ 159.52万
• 依托单位: University of Bristol
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FY00468X%2F1
• 关键词: Strongly; Interacting; Quantum; Dynamics

The dynamics of interacting quantum systems is central to many fundamental questions in modern physics, including understanding the transport properties of strongly correlated materials and the role of entanglement and chaos in thermalizing quantum systems. Further, due to the holographic correspondence, the dynamics of strongly interacting quantum field theories is intimately connected to key aspects of black hole physics including Hawking's information paradox. Nevertheless, progress in addressing these questions has been severely limited by a lack of techniques to study quantum dynamics outside of weakly interacting systems. This project will make progress on fundamental and long-standing questions concerning entanglement, chaos and transport in many-body quantum systems and quantum field theory, by building on connections between these fields that have recently emerged in studies of holographic quantum field theories and random quantum circuits. In particular: (i) We will develop effective field theory descriptions of many-body quantum chaos, which currently only exist for the special case of `maximally chaotic' systems. These theories would provide a universal framework for describing chaos across a wide range of systems. (ii) We will use connections between diffusion and chaos originally identified in holographic theories to develop fundamental bounds on transport in many-body quantum systems and quantum field theory. Such bounds would provide a general tool for understanding transport in strongly correlated materials, and could explain the existence of anomalous transport properties such as the linear resistivity found in strange metals. (iii) We will develop a coarse-grained description of entanglement dynamics in quantum field theory by generalising `entanglement membrane' techniques that arise in random quantum circuits, and apply these to gravitational systems to address the fate of quantum information during the black hole evaporation.

相互作用的量子系统的动力学对于现代物理学中的许多基本问题至关重要，包括了解强相关材料的运输特性以及纠缠和混乱在热量子系统中的作用。此外，由于全息对应关系，强烈相互作用的量子场理论的动力学与包括霍金的信息悖论在内的黑洞物理学的关键方面密切相关。然而，解决这些问题的进展受到了缺乏研究量子动态弱相互作用系统之外的量子动态的严重限制。该项目将在多体量子系统和量子场理论中的基本和长期问题上取得进展，并通过建立这些田间之间的连接，这些田间在全息图量子田间理论和随机量子电路的研究中都出现。特别是：（i）我们将开发多体量子混乱的有效现场理论描述，目前仅适用于“最大混乱”系统的特殊情况。这些理论将为描述各种系统的混乱提供一个通用框架。 （ii）我们将使用最初在全息理论中鉴定出的扩散与混乱之间的联系，以在多体量子系统和量子场理论中发展基本界限。这样的界限将为理解密切相关的材料中的运输提供一种通用工具，并可以解释异常运输特性的存在，例如在奇怪金属中发现的线性电阻率。 （iii）我们将通过概括在随机量子电路中出现的“纠缠膜”技术来开发量子场理论中纠缠动态的粗粒描述，并将其应用于引力系统以解决黑洞蒸发期间量子信息的命运。