Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator |
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| Affiliation: | 1. College of Science, Xian University of Science and Technology, Xian 710054, Shaanxi, PR China;2. Shaanxi Key Laboratory of Condensed Matter Structures and Properties, Northwestern Polytechnical University, Xian 710129, Shaanxi, PR China;1. Université de Nice Sophia-Antipolis, INLN, CNRS, 06560 Valbonne, France;2. Institut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands;3. Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France;4. Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France;1. Functional Materials Division, CSIR-Central Electrochemical Research Institute, Karaikudi 630006, India;2. Department of Physics, The American College, Madurai 625002, India;1. Shahrekord University of medical Sciences, Shahrekord, Iran;2. Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, Iran;3. Mechanical Engineering Group, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran;4. Physics Department, Shiraz University, Shiraz 71454, Iran |
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| Abstract: | We investigate the behaviour of two non-linearly coupled flexural modes of a doubly clamped suspended beam (nanomechanical resonator). One of the modes is externally driven. We demonstrate that classically, the behavior of the non-driven mode is reminiscent of that of a parametrically driven linear oscillator: it exhibits a threshold behavior, with the amplitude of this mode below the threshold being exactly zero. Quantum-mechanically, we were able to access the dynamics of this mode below the classical parametric threshold. We show that whereas the mean displacement of this mode is still zero, the mean squared displacement is finite and at the threshold corresponds to the occupation number of 1/2. This finite displacement of the non-driven mode can serve as an experimentally verifiable quantum signature of quantum motion. |
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| Keywords: | Nano- and opto-mechanics Parametric resonance Quantum effects Non-linear systems |
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