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Condensed Matter Physics in Time Crystals
New Journal of Physics ( IF 3.3 ) Pub Date : 2020-08-03 , DOI: 10.1088/1367-2630/ab9d54 Lingzhen Guo 1 , Pengfei Liang 2, 3
New Journal of Physics ( IF 3.3 ) Pub Date : 2020-08-03 , DOI: 10.1088/1367-2630/ab9d54 Lingzhen Guo 1 , Pengfei Liang 2, 3
Affiliation
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.
中文翻译:
时间晶体中的凝聚态物理
时间晶体是其时间平移对称性自发破坏的物理系统。尽管静态系统中连续时间平移对称性的自发破缺对于平衡状态是不可能的,但允许周期性驱动(Floquet)系统中的离散时间平移对称性自发破缺,导致所谓的 Floquet 或离散时间结晶。虽然迄今为止寻找时间晶体的大多数工作都集中在对称破坏过程和可能的稳定机制上,但尚未充分探索来自对称破坏状态相互作用的多体物理,我们称之为时间晶体中的凝聚态物理然而。本综述旨在用固体凝聚态理论的类似结构总结这一新研究领域的初步结果。整个理论建立在时间晶体中隐藏的对称性之上,即相空间晶格对称性,这使我们能够开发相空间晶格中的能带理论、拓扑和强相关模型。最后,我们概述了未来研究的可能主题和方向。
更新日期:2020-08-03
中文翻译:
时间晶体中的凝聚态物理
时间晶体是其时间平移对称性自发破坏的物理系统。尽管静态系统中连续时间平移对称性的自发破缺对于平衡状态是不可能的,但允许周期性驱动(Floquet)系统中的离散时间平移对称性自发破缺,导致所谓的 Floquet 或离散时间结晶。虽然迄今为止寻找时间晶体的大多数工作都集中在对称破坏过程和可能的稳定机制上,但尚未充分探索来自对称破坏状态相互作用的多体物理,我们称之为时间晶体中的凝聚态物理然而。本综述旨在用固体凝聚态理论的类似结构总结这一新研究领域的初步结果。整个理论建立在时间晶体中隐藏的对称性之上,即相空间晶格对称性,这使我们能够开发相空间晶格中的能带理论、拓扑和强相关模型。最后,我们概述了未来研究的可能主题和方向。