Simultaneous ground-state cooling of identical mechanical oscillators by Lyapunov control

The simultaneous cooling of multiple mechanical oscillators in the cavity optomechanical system has aroused people's attention and may be applicable in the quantum information process. In this paper, a scheme to realize the simultaneous ground-state cooling of two identical mechanical oscillators is proposed, where the frequency of one of the oscillators is designed according to Lyapunov control. By this method, the dark mode can effectively couple with the bright mode so that the two identical oscillators can be simultaneously cooled to their ground state. Extending this scheme into multiple identical mechanical oscillators, we show that simultaneous cooling can also be achieved. (C) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement

Automated summary

A scheme for simultaneously cooling multiple identical mechanical oscillators is proposed, where the frequency of one oscillator is designed using Lyapunov control. By effectively coupling the dark mode with the bright mode, the two identical oscillators can be simultaneously cooled to their ground state. This scheme can also be extended to achieve simultaneous cooling of multiple identical mechanical oscillators.