论文标题

具有可编程障碍的量子晶体在较高的维度

Quantum time crystals with programmable disorder in higher dimensions

论文作者

Kshetrimayum, A., Goihl, M., Kennes, D. M., Eisert, J.

论文摘要

我们提供了在两个空间维度中存在离散量子时间晶体的新证据。离散的时间晶体是复杂的量子系统,它破坏了经历非平衡动力学的驱动量子多体系统中的离散时间翻译对称性。它们是由因障碍引起的多体定位而稳定的。我们使用无限张量网络状态的实例直接针对热力学极限,并通过在每个站点引入辅助系统在翻译不变的环境中实现障碍。我们讨论如何在可编程量子模拟器中实现这种疾病:这引起了有趣的情况,在这种情况下,经典的张量网络仿真可以有助于设计具有量子模拟器的蓝图,这些量子模拟器具有以热时间结晶动力学的形式,最终将必须构建该阶段的稳定性,以探索这一阶段的稳定性。

We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. Discrete time crystals are intricate quantum systems that break discrete time translation symmetry in driven quantum many-body systems undergoing non-equilibrium dynamics. They are stabilized by many-body localization arising from disorder. We directly target the thermodynamic limit using instances of infinite tensor network states and implement disorder in a translationally invariant setting by introducing auxiliary systems at each site. We discuss how such disorder can be realized in programmable quantum simulators: This gives rise to the interesting situation in which a classical tensor network simulation can contribute to devising a blueprint of a quantum simulator featuring pre-thermal time crystalline dynamics, one that will yet ultimately have to be built in order to explore the stability of this phase of matter for long times.

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