论文标题

一般量子系统上时间翻译对称性的自发对称性分解的不存在:任何宏观顺序参数都不会移动!

Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!

论文作者

Moriya, Hajime

论文摘要

这篇综述告知,自1970年代以来,在C* - 代数量子统计力学中已经知道了真正的量子时间晶体的不可能。 KMS条件表明,在一般量子系统中,时间翻译对称性的自发分解是不可能的。特别是,任何非平凡的顺序,例如周期性,准周期和混乱秩序,都不能在平衡状态的时间方向上存在,这意味着从一开始就排除了真正的量子时间晶体。

This review informs that the impossibility of genuine quantum time crystals has been known in the C*-algebraic quantum statistical mechanics since 1970s. The KMS condition implies that spontaneous breakdown of time-translation symmetry is impossible in general quantum systems. In particular, any non-trivial order, such as periodic, quasi-periodic, and chaotic order cannot exist in the time direction of equilibrium states, meaning that genuine quantum time crystals are excluded from the outset.

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