论文标题
在量子关键时,多体系统的测量引起的动力学
Measurement-induced dynamics of many-body systems at quantum criticality
论文作者
论文摘要
我们考虑了量子多体系统的动态协议,该协议能够研究单一的哈密顿驾驶与随机的局部投影测量之间的相互作用。虽然统一动力学倾向于增加纠缠,但局部测量往往会散开,因此有利于腐烂。靠近系统在与长度尺度不同的关键相关性的量子转换中,在动态缩放框架内分析了两个驱动器的竞争,从而使我们能够识别两种机制发展非琐事相互作用的制度(动态缩放限制)。我们在测量驱动的Ising链中对该协议进行数值分析,该链支持我们提出的缩放定律。局部测量过程通常倾向于抑制量子相关性,即使在动态缩放极限下也是如此。量子相关性的衰减的功率定律事实在量子过渡时得到增强。
We consider a dynamic protocol for quantum many-body systems, which enables to study the interplay between unitary Hamiltonian driving and random local projective measurements. While the unitary dynamics tends to increase entanglement, local measurements tend to disentangle, thus favoring decoherence. Close to a quantum transition where the system develops critical correlations with diverging length scales, the competition of the two drivings is analyzed within a dynamic scaling framework, allowing us to identify a regime (dynamic scaling limit) where the two mechanisms develop a nontrivial interplay. We perform a numerical analysis of this protocol in a measurement-driven Ising chain, which supports the scaling laws we put forward. The local measurement process generally tends to suppress quantum correlations, even in the dynamic scaling limit. The power law of the decay of the quantum correlations turns out to be enhanced at the quantum transition.