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通过 Trotterization 调整量子过程的普适类

Tuning the universality class of a quantum process by Trotterization

Robin Prampain dit Boulan, Jerom Jebai, Hendrik Weimer

arXiv 2607.14663首次发表:更新:

AI 中文总结

研究量子接触过程离散版本,通过数值分析发现其与连续时间版本相变所属普适类不同,差异源于离散化细节,构建插值方法,证明普适类修改源于相消干涉效应,揭示量子力学起源。

AI 中文摘要

我们对量子接触过程的离散版本进行了数值分析,这是一个非平衡模型,存在相干感染过程和耗散恢复过程之间的竞争。此前,连续时间版本被认为在一个新的量子普适类中存在相变,而相关过程的实验研究表明该相变属于经典定向渗流类。我们证明这些差异源于过程离散化的细节,并构建了一种系统方法来在这些结果之间进行连续插值。最后,我们提供证据表明普适类的修改是由于相消干涉效应,显示出明显的量子力学起源。

英文摘要

We numerically analyze a discretized version of the quantum contact process, a non-equilibrium model having a competition between a coherent infection process and a dissipative recovery process. Previously, the continuous-time version has been discussed to have a phase transition in a novel quantum universality class, while experimental investigations of a related process have pointed towards the transition being in the classical directed percolation class. We demonstrate that these differences stem from details of the discretization of the process and construct a systematic way to continuously interpolate between these results. Finally, we provide evidence that the modification of the universality class is due to destructive interference effects, showing a clear quantum-mechanical origin.

Comments6 pages, 4 figures

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