论文标题

动力量子相转换中的旋转$ s $ $ \ mathrm {u}(1)$量子链接模型

Dynamical quantum phase transitions in spin-$S$ $\mathrm{U}(1)$ quantum link models

论文作者

Van Damme, Maarten, Zache, Torsten V., Banerjee, Debasish, Hauke, Philipp, Halimeh, Jad C.

论文摘要

动力学量子相变(DQPTS)是探测量子多体系统中远程平衡关键的有力概念。随着强大的持续实验驱动器以量子模拟的晶格计理论,研究这些模型中的DQPT变得重要,以便更好地了解其远程平衡性能。在这项工作中,我们使用无限矩阵产品状态技术来研究spin-$ s $ $ \ mathrm {u}(1)$量子链接模型的DQPTS。尽管我们能够在$ s = 1/2 $的情况下直接将DQPTS连接到动态顺序参数的符号变化,但从真空初始状态开始,我们发现,对于链接旋转长度的不同值$ s> 1/2的不同值不再存在这种直接连接。特别是,我们发现有大量不同类型的DQPT与订单参数的任何符号更改没有直接相关。我们的发现表明,dqpts在威尔逊(Kogut-susskind限制及其通过量子链接形式主义的表示)之间从根本上有所不同。

Dynamical quantum phase transitions (DQPTs) are a powerful concept of probing far-from-equilibrium criticality in quantum many-body systems. With the strong ongoing experimental drive to quantum-simulate lattice gauge theories, it becomes important to investigate DQPTs in these models in order to better understand their far-from-equilibrium properties. In this work, we use infinite matrix product state techniques to study DQPTs in spin-$S$ $\mathrm{U}(1)$ quantum link models. Although we are able to reproduce literature results directly connecting DQPTs to a sign change in the dynamical order parameter in the case of $S=1/2$ for quenches starting in a vacuum initial state, we find that for different quench protocols or different values of the link spin length $S>1/2$ this direct connection is no longer present. In particular, we find that there is an abundance of different types of DQPTs not directly associated with any sign change of the order parameter. Our findings indicate that DQPTs are fundamentally different between the Wilson--Kogut--Susskind limit and its representation through the quantum link formalism.

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