Many Body Localization and quantum information

提出一种与现有物质具有非常不同性质的新物质状态并不常见，但在2005年，Basko， Aleiner和Altshuler严格地证明了多体局域化（MBL）状态的行为方式与量子统计物理学中已知的所有状态完全不同。一个关键的概念是特征态热化假说（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不再工作，平衡统计力学的概念不再成立，产生许多变革性效应，例如抑制限制传统量子信息的退相干机制。信息现在包含在局域电子群中，称为l位或局部运动积分，liom，并且电子和区域之间的纠缠可以被调制。本文的目的是在凝聚态领域对这一新概念进行详细的研究，以增强对凝聚态的理解和发现新的物理现象。原则上，利用半导体技术，凝聚态系统为探索新物理提供了更大、更重要的机会。研究结果将影响量子信息、拓扑物理、统计力学和涉及局域化的现象等领域。”

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."