论文标题
间隙/间隙保护理性时空晶体系统的拓扑分类
Topological Classification of Gapped/Gap-preserving Rational Space-Time Crystal Systems
论文作者
论文摘要
在凝结物理学中研究的传统系统始终具有空间翻译对称性。但是，对于时空晶体系统，空间翻译对称性不再保留，而晶格电位则具有时空翻译对称性。我们表明，理性的时空水晶系统等于传统的浮雕系统。然后，我们找到了一种分析浮力方程并构建有效的时空晶体系统的哈密顿量的方法。通过这种有效的哈密顿素化，我们获得了间隙和差距有理时空晶体系统的拓扑分类。我们的作品揭示了时空晶体系统和浮雕系统之间的相关性，并提供了一种系统的方法来探索理性时空晶体系统的属性。
The traditional systems researched in condensed matter physics always have spatial translation symmetry. However for space-time crystal systems, the spatial translation symmetry is no longer preserved and the lattice potential have space-time translation symmetry instead. We show that a rational space-time crystal system is equal to a traditional floquet system. Then, we find a way to solve the floquet equation analytically and construct an effective Hamiltonian of the rational space-time crystal system. By this effective Hamiltonian, we obtain the topological classification of gapped and gap-preserving rational space-time crystal systems. Our works reveal the correlation between space-time crystal systems and floquet systems and give a systematic method to explore the properties of rational space-time crystal systems.
