Many Body Localization and quantum information

多体定位和量子信息

• 批准号: 2243109
• 金额: --
• 依托单位: University College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2243109
• 关键词: Many; Body; Localization; quantum; information

It is not often that a new state of matter is proposed with very different properties to those presently existing but in 2005 Basko, Aleiner and Altshuler rigorously showed that a Many Body Localized (MBL) state would behave in a completely different manner to all states presently known in quantum statistical physics. A key concept is the Eigenstate Thermalisation Hypothesis (ETH) which encompasses mathematical treatments showing how systems evolve to equilibrium. In the MBL state the ETH is not operative and concepts of equilibrium statistical mechanics no longer hold, producing many transformative effects such as suppression of decoherence mechanisms limiting conventional quantum information. Information is now contained in localized groups of electrons termed l-bits or Local Integrals of Motion, LIOMs, and the entanglement between electrons and regions can be modulated. It is the purpose of this proposal to investigate in detail this new concept in the field of condensed matter in order to enhance understanding and find new physical phenomena. In principle, using semiconductor technology, condensed matter systems offer greater and more significant opportunities to explore the new physics. The results will impact fields such as quantum information, topological physics, statistical mechanics and phenomena involving localization."

一种新的物质状态被提出并具有与现有状态非常不同的性质，这是不常见的，但在2005年，Basko，Aleiner和Altshuler严格地证明了多体定域(MBL)状态的行为方式将与目前量子统计物理中已知的所有状态完全不同。一个关键的概念是本征态热化假说(ETH)，它包含了显示系统如何进化到平衡的数学处理。在MBL状态下，ETH不再起作用，平衡统计力学的概念不再成立，产生了许多变革性的效应，例如抑制了限制传统量子信息的消相干机制。现在，信息被包含在被称为L-比特或局部运动积分的局域电子群中，电子和区域之间的纠缠可以被调制。这项提议的目的是详细研究凝聚态领域的这一新概念，以增进理解并发现新的物理现象。原则上，利用半导体技术，凝聚态系统为探索新物理学提供了更大、更重要的机会。其结果将影响到量子信息、拓扑物理、统计力学和涉及局部化的现象等领域。