Stability of emergent time periodicity in a few-body interacting system iopscience.iop.org/article/1… We examine the onset and resilience of emergent #timeperiodicity in a few-body all-to-all interacting Lipkin–Meshkov–Glick #manybody model, where one of the constituents is locally in contact with a thermal bath. Employing both a #collisionmodelframework and a suitable #timecontinuousdescription, we show that stable time-periodic behavior can only be exhibited when the bath acts as a purely #dissipative channel. We assess the role that the microscopic interactions within the system play, establishing that for the all-to-all model the introduction of temperature leads to a melting of the emergent time periodicity, in contrast to stable long-time behavior which can be maintained for nearest neighbor XXZ type interactions. I am happy to see this out in the @NJPhysics.