Quantum motion of a squeezed mechanical oscillator attained via an optomechanical experiment
P. Vezio (European Laboratory for Non-linear Spectroscopy (LENS))
A. Chowdhury (Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche)
M. Bonaldi (Trento Institute for Fundamental Physics and Applications, Institute of Materials for Electronics and Magnetism - Nanoscience-Trento-FBK Division)
Antonio Borrielli (Institute of Materials for Electronics and Magnetism - Nanoscience-Trento-FBK Division, Trento Institute for Fundamental Physics and Applications)
F. Marino (Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche, Istituto Nazionale di Fisica Nucleare - Sezione di Firenze)
B. Morana (TU Delft - Electronic Components, Technology and Materials, Institute of Materials for Electronics and Magnetism - Nanoscience-Trento-FBK Division)
G.A. Prodi (Trento Institute for Fundamental Physics and Applications, UniversitĂ degli Studi di Trento)
P.M. Sarro (TU Delft - Electronic Components, Technology and Materials)
E. Serra (Trento Institute for Fundamental Physics and Applications, TU Delft - Electronic Components, Technology and Materials)
F. Marin (Istituto Nazionale di Fisica Nucleare - Sezione di Firenze, European Laboratory for Non-linear Spectroscopy (LENS), University of Florence, Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche)
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Abstract
We experimentally investigate a mechanical squeezed state realized in a parametrically modulated membrane resonator embedded in an optical cavity. We demonstrate that a quantum characteristic of the squeezed dynamics can be revealed and quantified even in a moderately warm oscillator, through the analysis of motional sidebands. We provide a theoretical framework for quantitatively interpreting the observations and present an extended comparison with the experiment. A notable result is that the spectral shape of each motional sideband provides a clear signature of a quantum mechanical squeezed state without the necessity of absolute calibrations, in particular in the regime where residual fluctuations in the squeezed quadrature are reduced below the zero-point level.