Stationary Gaussian Entanglement between Levitated Nanoparticles
Anil Kumar Chauhan, Ond\v{r}ej \v{C}ernot\'ik, and Radim Filip

TL;DR
This paper demonstrates a method for generating strong Gaussian entanglement between two levitated nanoparticles using coherent photon scattering, advancing quantum optomechanics with multiple particles.
Contribution
It introduces a novel entanglement scheme leveraging coherent scattering in levitated nanoparticles, enabling deterministic Gaussian entanglement with realistic experimental parameters.
Findings
Efficient generation of Gaussian entanglement between nanoparticles.
Ground state cooling of a mechanical Bogoliubov mode.
Strong entanglement verified by logarithmic negativity and Duan criterion.
Abstract
Coherent scattering of photons is a novel mechanism of optomechanical coupling for optically levitated nanoparticles promising strong, versatile interactions with light and between nanoparticles. We show that it allows efficient deterministic generation of Gaussian entanglement between two particles in separate tweezers. A combination of red- and blue-detuned tweezers brings a mechanical Bogoliubov mode to its ground state. An additional, dispersively coupled cavity mode can reduce noise in the orthogonal mode, resulting in strong entanglement as quantified by the logarithmic negativity and verifiable with the Duan criterion for realistic experimental parameters. Such an important resource for quantum sensing and quantum simulations is pivotal for current experiments and presents an important step towards optomechanics with multiple particles in the quantum regime.
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