Cooling and entanglement of multimode graphene resonators via vacuum fluctuations

摘要: Sympathetic laser cooling of a single mode graphene membrane coupled to an atomic cloud interacting via Casimir-Polder forces has been recently proposed. Here, we extend this study the effect secondary whose frequency may be far or close resonance. We show that if two mechanical modes are together, it is possible simultaneously cool both modes. Conversely, frequencies set apart, does not affect first one. also entanglement properties steady-state using logarithmic negativity. how stationary between sheets can generated by means vacuum fluctuations. Moreover, find that, within feasible experimental parameters, large acoustomechanical entanglement, i.e. phononic and mode, $E_N \approx 5$, generated.