发表机构
The University of Manchester（曼彻斯特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在边界共形场论中推导出精确且可饱和的基于功涨落的速度极限，揭示了功涨落作为快速控制资源的作用，并建立了普适的功精度-时间权衡关系。
AI 中文摘要
我们探索了由边界共形场论描述的量子临界系统中有限时间驱动的根本极限。我们表明，由外部驱动引起的随机功涨落是快速控制的资源，并在有限温度下弱驱动的边界共形场论中推导出一个精确且可饱和的基于涨落的速度极限。该界限和饱和协议可以完全用普适标度维度来表示，并且结果在时间关联强烈非局域的Kibble-Zurek区间和线性驱动变为最优的绝热区间之间进行插值。对于小的标度维度，增强的时间关联导致与线性协议的显著偏离以及更大的优化优势。这些结果确立了边界临界控制的普适功精度-时间权衡，适用于量子杂质、分数量子霍尔和超导电路平台。
英文摘要
We explore the fundamental limits on finite-time driving in quantum critical systems described by boundary conformal field theory. We show that stochastic work fluctuations arising from external driving are a resource for speedy control, and derive an exact, saturable fluctuation-based speed limit in weakly driven boundary conformal field theories at finite temperature. The bound and saturating protocol can be expressed entirely in terms of the universal scaling dimension, and the result interpolates between the Kibble--Zurek regime,where temporal correlations are strongly nonlocal, and an adiabatic regime where linear driving becomes optimal. For small scaling dimension, the enhanced temporal correlations produce pronounced departures from linear protocols and a larger optimization advantage. These results establish a universal work precision--time tradeoff for boundary-critical control, applicable to quantum impurity, fractional quantum Hall, and superconducting-circuit platforms.
