Quantum Synchronization in Interacting Non-linear Oscillators

Abstract

Synchronisation is well studied in Classical limit cycle systems, but synchronisation in the quantum limit cycle systems remains less explored. One such quantum limit cycle oscillator, VanderPol oscillator has received much attention in recent years, and a modified version of this oscillator is proposed. We study Synchronisation in two such modified coupled oscillators. There is much literature on the study of the Open quantum systems, the systems that interact with reservoir. However, the study of such systems in non-markovian conditions remains relatively unexplored. We describe a new way to solve an open quantum system in non-markovian conditions.