Squeezing is a crucial resource for quantum information processing and quantum sensing. In levitated nanomechanics, squeezed states of motion can be generated via temporal control of the trapping frequency of a massive particle. However, the amount of achievable squeezing typically suffers from detrimental environmental effects. We analyze the performance of a scheme that, by embedding careful time-control of trapping potentials and fully accounting for the most relevant sources of noise -- including measurement backaction -- achieves significant levels of mechanical squeezing. The feasibility of our proposal, which is close to experimental state-of-the-art, makes it a valuable tool for quantum state engineering.
@article{arxiv.2403.18790,
title = {Squeezing below the ground state of motion of a continuously monitored levitating nanoparticle},
author = {Qiongyuan Wu and Diana A. Chisholm and Rafael Muffato and Tiberius Georgescu and Jack Homans and Hendrik Ulbricht and Matteo Carlesso and Mauro Paternostro},
journal= {arXiv preprint arXiv:2403.18790},
year = {2024}
}