Kumar N Pradeep, Banerjee Subhashish, Chandrashekar C M
The Institute of Mathematical Sciences, C. I. T campus, Taramani, Chennai, 600113, India.
Indian Institute of Technology, Jodhpur, 342037, India.
Sci Rep. 2018 Jun 11;8(1):8801. doi: 10.1038/s41598-018-27132-7.
Non-Markovian quantum effects are typically observed in systems interacting with structured reservoirs. Discrete-time quantum walks are prime example of such systems in which, quantum memory arises due to the controlled interaction between the coin and position degrees of freedom. Here we show that the information backflow that quantifies memory effects can be enhanced when the particle is subjected to uncorrelated static or dynamic disorder. The presence of disorder in the system leads to localization effects in 1-dimensional quantum walks. We shown that it is possible to infer about the nature of localization in position space by monitoring the information backflow in the reduced system. Further, we study other useful properties of quantum walk such as entanglement, interference and its connection to quantum non-Markovianity.
非马尔可夫量子效应通常在与结构化库相互作用的系统中被观测到。离散时间量子行走就是这类系统的典型例子，其中，由于硬币和位置自由度之间的受控相互作用而产生量子记忆。在这里我们表明，当粒子受到不相关的静态或动态无序影响时，量化记忆效应的信息回流可以增强。系统中无序的存在会导致一维量子行走中的局域化效应。我们表明，通过监测约化系统中的信息回流，可以推断位置空间中的局域化性质。此外，我们研究了量子行走的其他有用特性，如纠缠、干涉及其与量子非马尔可夫性的联系。
