Many Body Localisation in the Solid State for Finite Temperature Quantum Computing

这一建议建立在令人兴奋的发现一个外来的绝缘体-绝缘体转变的氧砷化物CeMnAsO 1-xFx（x = 0.035 - 0.075）。这种温度驱动的金属-绝缘体和绝缘体-绝缘体转变，其中电阻率在非常窄的温度范围内以数量级变化，已经引起了理论和实验研究人员的极大兴趣，并且具有新颖的应用，例如电阻随机存取存储器（RRAM）。CeMnAsO 1-xFx中绝缘体-绝缘体转变的起源尚未确定，但初步结果表明，这种转变可能是第一次观察到固体中的多体定位（MBL）。MBL系统最显著的特征是，在转变温度（TMBL）以下，它们变成完美的绝缘体，表现出零电子电导率。MBL相还充当量子存储器。此外，MBL系统的局部化可用于保护量子存储器，从而允许在有限温度下执行拓扑量子计算的诱人可能性。我们将进行重要测量以确认MBL阶段。如果得到证实，我们将成为世界上第一个报告固态MBL的小组。大量展示MBL的材料的发现将是变革性的，因为MBL阶段有可能彻底改变涉及量子传感器和计算的技术应用，提供非经典系统性能。它还将创造一个新的实验研究领域，允许通过非平衡跃迁实现量子物质的新形式。

This proposal builds on the exciting discovery of an exotic insulator-insulator transition in the oxyarsenide CeMnAsO1-xFx (x = 0.035 - 0.075). Such temperature driven metal-insulator and insulator-insulator transitions, in which the resistivity changes by orders of magnitude over a very narrow temperature range, have attracted considerable interest from both theoretical and experimental researchers and have novel applications such as Resistance Random Access Memory (RRAM). The origin of the insulator-insulator transition in CeMnAsO1-xFx is not yet established but preliminary results suggest that this transition could be the first observation of many body localisation (MBL) in the solid state. The most significant characteristic of MBL systems is that below a transition temperature (TMBL) they become perfect insulators, exhibiting zero electronic conductivity. The MBL phase also acts as a quantum memory. Moreover, the localisation of MBL systems can be used to protect quantum memory allowing the tantalising possibility of performing topological quantum computation at finite temperatures. We will perform the vital measurements to confirm the MBL phase. If verified, we will be the first group in the world to report MBL in the solid state. The discovery of a material exhibiting MBL in the bulk would be transformative, as the MBL phase has the potential to revolutionise technological applications involving quantum sensors and computing, offering non-classical system performance. It would also create a new experimental research field that will allow the realisation of fundamentally new forms of quantum matter through non-equilibrium transitions.