Quantum Synchronization and Superconductivity

Synchronization is a phenomenon whereby weak interactions between oscillators enables a macroscopic phase coherence to develop. While this phenomenon is well known in the context of classical dynamical systems, its extension to quantum oscillators has been relatively un-explored. In this talk we will consider a model where the quantum oscillators are realized by a local superconducting order parameter. We will then study under what circumstances interactions lead to synchronization of the phase, enhancing the phase coherence and superconductivity of the sample.