@article{rakhubovsky_stroboscopic_2019, title = {Stroboscopic High-Order Nonlinearity in Quantum Optomechanics}, author = {Rakhubovsky, Andrey A. and Filip, Radim}, date = {2019-04-01}, url = {http://arxiv.org/abs/1904.00773}, abstract = {High-order quantum nonlinearity is an important prerequisite for the advanced quantum technology leading to universal quantum processing with large information capacity of continuous variables. We devise a method of stroboscopic application of a highly nonlinear potential to an initial squeezed thermal state of a mechanical oscillator. The mechanical states generated by the protocol clearly exhibit nonclassicality and the squeezing of a nonlinear quadrature, proving the higher-order quantum nonlinearity and rendering them a useful resource for the mechanical quantum technology. We analyze the main sources of decoherence and estimate possible achievable nonlinearities in the systems that are within reach. We test the method numerically on the cubic potential using the relevant parameters of a typical levitated optomechanical experiment and prove its feasibility.}, archivePrefix = {arXiv}, eprint = {1904.00773}, eprinttype = {arxiv}, primaryClass = {quant-ph} }