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arXiv · 2312.15898

Simultaneous ground-state cooling of two levitated nanoparticles by coherent scattering

Yi Xu·Yu-Hong Liu·Cheng Liu·Jie-Qiao Liao
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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 $y$-direction motions of the two particles are decoupled from the cavity field and both the $x$- and $z$-direction motions, and that the $z$-direction motions can be further decoupled from the cavity field and the $x$-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.

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Yi Xu, Yu-Hong Liu, Cheng Liu, Jie-Qiao Liao. 2024-05-20. Simultaneous ground-state cooling of two levitated nanoparticles by coherent scattering. https://doi.org/10.1103/physreva.109.053521

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