量子多体吸引子
Quantum many-body attractors
AI总结：
本文提出动态量子代数线（D-QAT）理论条件，使系统能在微观和宏观尺度上展示自主复杂量子相干动力学，该动力学对现实缺陷具有鲁棒性，并适用于一般初始状态，为量子存储和相干量子比特等应用开辟新可能。
摘要：
复杂动力学在自主发生时，即没有外部驱动的情况下，通常与日常长度尺度和经典物理相关，例如生物体。这种动力学不是量子相干的。相比之下，量子相干动力学被假设为简单的周期振荡（特别是自主时，例如自旋进动）或随机的量子涨落。在微观长度尺度上结合自主复杂动力学和量子相干动力学，可能允许无需外部时间依赖驱动的新型相干量子机器工作。受此启发，我们在此提供了一个精确的理论条件，使系统能够在微观和宏观长度尺度上展示复杂的量子相干动力学，我们称之为动态量子代数线（D-QAT）。由于D-QAT，我们的自主量子相干动力学对现实中的不完美（包括低掺杂无序）具有鲁棒性，并且存在于一般初始状态中，从而允许在实验中实现。我们给出了一个自旋花边模型的例子，其结构类似于磁性蓝铜矿和某些最近实验实现的具有长相干时间的大型单分子磁体。我们的工作为许多潜在应用开辟了可能性，包括量子存储器的超密集存储和操作、创建巨型量子相干量子比特，或微观量子机制执行复杂运动。
英文摘要：
Complex dynamics when occurring autonomously, i.e. without external driving, is usually associated with everyday length scales and classical physics, e.g. living organisms. This dynamics is \emph{not} quantum coherent. Quantum coherent dynamics is, by contrast, assumed to be either simple periodic oscillation in particular when autonomous, e.g. spin precession, or random quantum fluctuations. Combining autonomous complex and quantum coherent dynamics on microscopic length-scales could allow for novel coherent quantum machines working without external time-dependent driving. Motivated by this, here we provide an exact theoretical condition for a system to display complex quantum coherent dynamics on both microscopic and macroscopic length scales that we call a \emph{dynamical quantum algebraic thread} (D-QAT). Due to D-QATs our autonomous quantum coherent dynamics is robust to realistic imperfections (including low-doped disorder) and present for generic initial states, allowing for potential realisations in experiments. We give an example of a \emph{spin lace} model structurally similar to magnetic azurite and certain recently experimentally realized large single-molecular magnets with long coherence times. Our work opens the possibility for many potential applications including ultra-dense storage and manipulation of quantum memories, creating \emph{giant} quantum coherent qubits, or microscopic quantum mechanism perform complicated motion.
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