Reaction-Limited Quantum Reaction-Diffusion Dynamics.
Reaction-Limited Quantum Reaction-Diffusion Dynamics.
复制标题
反应限制量子反应扩散动力学。
DOI：
10.1103/physrevlett.130.210402
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发表时间：
2022
影响因子：
8.6
通讯作者：
I. Lesanovsky
中科院分区：
文献类型：
--
作者：
G. Perfetto;F. Carollo;J. P. Garrahan;I. Lesanovsky
我们考虑量子非平衡动力学的系统中，费米子粒子相干跳跃的一维晶格，并受到耗散过程类似于经典的反应扩散模型。粒子既可以成对湮灭，A+A→0，也可以在接触时凝聚，A+A→A，还可能出现分支，A→A+A。在经典环境中，这些过程和粒子扩散之间的相互作用导致临界动力学以及吸收态相变。在这里，我们分析相干跳跃和量子叠加的影响，专注于所谓的反应限制制度。在这里，由于快速跳跃，空间密度波动很快被平滑，这对于经典系统是由平均场方法描述的。利用含时广义Gibbs系综方法，我们证明了量子相干性和相消干涉在这些系统中起着至关重要的作用，并对局部保护暗态和超越平均场的集体行为的出现负责。这可以表现在平稳性和弛豫动力学期间。我们的分析结果突出了经典非平衡动力学和量子动力学之间的根本差异，并表明量子效应确实改变了集体普遍行为。
We consider the quantum nonequilibrium dynamics of systems where fermionic particles coherently hop on a one-dimensional lattice and are subject to dissipative processes analogous to those of classical reaction-diffusion models. Particles can either annihilate in pairs, A+A→0, or coagulate upon contact, A+A→A, and possibly also branch, A→A+A. In classical settings, the interplay between these processes and particle diffusion leads to critical dynamics as well as to absorbing-state phase transitions. Here, we analyze the impact of coherent hopping and of quantum superposition, focusing on the so-called reaction-limited regime. Here, spatial density fluctuations are quickly smoothed out due to fast hopping, which for classical systems is described by a mean-field approach. By exploiting the time-dependent generalized Gibbs ensemble method, we demonstrate that quantum coherence and destructive interference play a crucial role in these systems and are responsible for the emergence of locally protected dark states and collective behavior beyond mean field. This can manifest both at stationarity and during the relaxation dynamics. Our analytical results highlight fundamental differences between classical nonequilibrium dynamics and their quantum counterpart and show that quantum effects indeed change collective universal behavior.
具有扩散南部-戈德斯通模式的动态临界现象
DOI：
--
发表时间：
2021
期刊：
影响因子：
--
作者：
中村 真; 棚橋典大; 高橋大介; 曽我部紀之
通讯作者：
曽我部紀之