随机重置下一维晶格上的离散时间行走:量子比经典场景的优势。

IF 2.4 3区 物理与天体物理 Q1 Mathematics
Przemysław Chełminiak, Jan Wójcik, Antoni Wójcik
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引用次数: 0

摘要

我们研究了随机重启/重置对离散时间量子行走的影响,研究了随机重启/重置对以一对完全吸收点终止的一维晶格上行走时的吸收时间的影响。这两个不同的位置也起到了检测量子行走到达这些边界的时刻的装置的作用。我们的研究结果揭示了量子行走与经典行走之间的显著差异。具体来说,我们关注的是经典随机漫步的实例,其中随机重置不能减少吸收时间。相反,我们表明随机重置可以用来有效地减少量子版本的吸收时间。我们将观测到的量子与经典情况的差异与重新启动量子态不仅改变位置分布而且不可避免地改变互补准动量分布的事实联系起来。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Discrete-time walk on one-dimensional lattice under stochastic resetting: Advantage of quantum over classical scenario.

We investigate the effect of stochastic restart/resetting on discrete-time quantum walks concerning its impact on the meantime to absorption in the walk on the one-dimensional lattice terminated by a pair of totally absorbing sites. The two distinguished sites also play the role of an apparatus that detects the moment of time when a quantum walk reaches these boundaries. Our results reveal a notable difference between the quantum walk and its classical counterpart. Specifically, we focus on instances of classical random walks in which stochastic resetting fails to reduce the meantime to absorption. Conversely, we show that stochastic resetting can be utilized to effectively diminish the meantime to absorption in the quantum version of this walk. We relate the observed difference between quantum and classical cases to the fact that restarting the quantum state not only changes position distribution but inevitably changes complementary quasimomentum distribution.

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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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