绝热和不可逆经典离散时间晶体
Adiabatic and irreversible classical discrete time crystals
摘要：
我们模拟顺磁性胶体粒子的动力学，放置在一个磁性六边形图案，并暴露于外部磁场周期性地改变其方向沿控制回路。一个晶胞上方的三个胶体粒子的构象以任意低频率的外场频率的一半响应时间晶体。绝热时间晶体的出现是因为静止流形的非平凡拓扑。当胶体粒子在不同的单胞中耦合时，许多体效应导致拓扑孤立的时间晶体的形成以及不同绝热可逆和非绝热不可逆时空晶体排列之间的动力学相变。
英文摘要：
We simulate the dynamics of paramagnetic colloidal particles that are placed above a magnetic hexagonal pattern and exposed to an external field periodically changing its direction along a control loop. The conformation of three colloidal particles above one unit cell adiabatically responds with half the frequency of the external field creating a time crystal at arbitrary low frequency. The adiabatic time crystal occurs because of the non-trivial topology of the stationary manifold. When coupling colloidal particles in different unit cells, many body effects cause the formation of topologically isolated time crystals and dynamical phase transitions between different adiabatic reversible and non-adiabatic irreversible space-time-crystallographic arrangements.
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