Generalized measure of quantum synchronization

Michal Hajdusek, Keio University, Japan

Synchronization is a ubiquitous dynamical phenomenon that has been investigated in classical systems of length scales spanning many orders of magnitude such as firing neurons, beating heart cells, blinking fireflies or orbit adjustment of astronomical objects. The ever improving experimental techniques of controlling quantum systems have lead to a natural question, whether synchronization extends to the shortest of length scales as well. This lead to the investigation of synchronization in numerous quantum systems. A central question in quantum synchronization is how to witness and quantify it. Many approaches used in the pioneering works used system-specific techniques of quantifying synchronization which were either impractical or impossible to adopt to other systems or scenarios.

In this talk, I will introduce an information-theoretic approach to quantifying synchronization in quantum systems. This method is suited for finite- and infinite-dimensional systems and scenarios where a single quantum system is being entrained to an external drive as well as mutual synchronization. Furthermore, it is immediately applicable to quantifying synchronization of disparate quantum systems. I will discuss the close connection between the theory of coherence and synchronization and highlight the cases when the two are different.

Recording of the talk