凝视搅拌：测量诱导的手性
Stirring by Staring: Measurement Induced Chirality
摘要：
在量子力学中，观察者必然在系统的动力学中扮演着积极的角色，这使得在不干扰系统的情况下探测系统变得困难。在这里，我们利用这个明显的困难作为一种工具，将一个最初微不足道的系统驱动到手征相。特别是，我们表明，通过利用一种模式的重复占领测量，我们可以产生手征边缘输运的费米子跳跃Lieb晶格。该过程在精神上类似于使用周期性驱动来诱导Floquet拓扑绝缘体中的手性边缘传输，同时还表现出由于量子测量的非幺正性质而导致的新现象。我们详细研究了测量频率的程序的依赖性，表明在芝诺极限的系统可以描述由一个经典的随机动力学，产生保护运输。随着测量频率的降低，电荷流减少，并且在不进行测量时消失。
英文摘要：
In quantum mechanics, the observer necessarily plays an active role in the dynamics of the system, making it difficult to probe a system without disturbing it. Here, we leverage this apparent difficulty as a tool for driving an initially trivial system into a chiral phase. In particular, we show that by utilizing a pattern of repeated occupation measurements we can produce chiral edge transport of fermions hopping on a Lieb lattice. The procedure is similar in spirit to the use of periodic driving to induce chiral edge transport in Floquet topological insulators, while also exhibiting novel phenomena due to the non-unitary nature of the quantum measurements. We study in detail the dependence of the procedure on measurement frequency, showing that in the Zeno limit the system can be described by a classical stochastic dynamics, yielding protected transport. As the frequency of measurements is reduced, the charge flow is reduced and vanishes when no measurements are done.
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