论文标题
时间晶体中的凝结物理物理
Condensed Matter Physics in Time Crystals
论文作者
论文摘要
时间晶体是物理系统，其时间翻译对称性自发断裂。尽管事实证明，静态系统中连续的时间翻译对称性的自发断裂是不可能的，但平衡状态是不可能的，但允许允许自发驱动（floquet）系统中离散的时间翻译对称性自发破坏，从而导致所谓的floquet floquet或离散的时间晶体。尽管到目前为止，大多数工作都在搜索时间晶体集中在对称性破坏过程和可能的稳定机制上，但来自对称性破裂状态相互作用的多体物理学，我们称之为时间晶体中的凝结物理物理学，尚未得到充分探索。这篇综述旨在总结这个新的研究领域的非常初步的结果，并在固体中具有凝结物质理论的类似结构。整个理论建立在时间晶体中的隐藏对称性基础上，即相位空间晶格对称性，这使我们能够在相空间晶格中开发频带理论，拓扑和强烈相关的模型。最后，我们概述了未来研究的可能主题和方向。
Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the discrete time-translation symmetry in periodically driven (Floquet) systems is allowed to be spontaneously broken, resulting in the so-called Floquet or discrete time crystals. While most works so far searching for time crystals focus on the symmetry breaking process and the possible stabilising mechanisms, the many-body physics from the interplay of symmetry-broken states, which we call the condensed matter physics in time crystals, is not fully explored yet. This review aims to summarise the very preliminary results in this new research field with an analogous structure of condensed matter theory in solids. The whole theory is built on a hidden symmetry in time crystals, i.e., the phase space lattice symmetry, which allows us to develop the band theory, topology and strongly correlated models in phase space lattice. In the end, we outline the possible topics and directions for the future research.
