论文标题
完全计数统计量作为测量诱导的量子链中的探针
Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
论文作者
论文摘要
在测量协议的效果下，多体量子系统的非平衡动力学吸引了越来越多的关注。最近已经显示，测量值可能引起不同的非平衡状态，并突然变化两部分纠缠熵。但是，我们对这些制度的出现方式，如何影响局部数量的统计数据以及最终是否在热力学限制中生存的理解要少得多。在这里，我们研究了测量诱导的量子链中的相变，耦合到监测环境。特别是我们表明，局部投影测量值诱导了局部磁化的不平衡概率分布函数的定量修改。从GHz状态开始，分析了顺磁性和铁磁顺序的松弛。特别是我们描述了前者的概率分布如何显示区域法和体积法律制度中的不同行为。
Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce different non-equilibrium regimes and an abrupt change in the scaling-law of the bipartite entanglement entropy. However, our understanding of how these regimes appear, how they affect the statistics of local quantities and, finally whether they survive in the thermodynamic limit, is much less established. Here we investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment. In particular we show that local projective measurements induce a quantitative modification of the out-of-equilibrium probability distribution function of the local magnetization. Starting from a GHZ state, the relaxation of the paramagnetic and the ferromagnetic order is analysed. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
