Simultaneous ground-state cooling of two levitated nanoparticles by coherent scattering
arXiv:2312.15898 · doi:10.1103/PhysRevA.109.053521
Abstract
Simultaneous ground-state cooling of two levitated nanoparticles is a crucial prerequisite for investigation of macroscopic quantum effects such as quantum entanglement and quantum correlation involving translational motion of particles. Here we consider a coupled cavity-levitated-particle system and present a detailed derivation of its Hamiltonian. We find that the -direction motions of the two particles are decoupled from the cavity field and both the - and -direction motions, and that the -direction motions can be further decoupled from the cavity field and the -direction motions by choosing proper locations of the particles. We study the simultaneous cooling of these mechanical modes in both the three-mode and five-mode cavity-levitated optomechanical models. It is found that there exists the dark-mode effect when the two tweezers have the same powers, which suppress the simultaneous ground-state cooling. Nevertheless, the simultaneous ground-state cooling of these modes can be realized by breaking the dark-mode effect under proper parameters. Our system provides a versatile platform to study quantum effects and applications in cavity-levitated optomechanical systems.
18 pages, 8 figures
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