Exotic Synchronisation of Time Crystals Outside Symmetric Subspaces

In this talk, Dr. Sai Vinjanampathy will be exploring continuous time crystals (CTCs) within the symmetric subspace of spin systems which has been a subject of intensive research in recent times. Thus far, the stability of the time-crystal phase outside the symmetric subspace in such spin systems has gone largely unexplored. Here, he will show the effect of including the asymmetric subspaces on the dynamics of CTCs in a driven dissipative spin model. This results in multistability, and the dynamics become dependent on the initial state. Remarkably, this multistability leads to exotic synchronization regimes such as chimera states and cluster synchronization in an ensemble of coupled identical CTCs.