TY - JOUR
T1 - Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator
AU - Labadze, G.
AU - Dukalski, M.
AU - Blanter, Ya M.
N1 - Accepted Author Manuscript
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Nano- and opto-mechanics
KW - Non-linear systems
KW - Parametric resonance
KW - Quantum effects
UR - http://resolver.tudelft.nl/uuid:0cc9f9bd-4454-4e4f-a8de-5e0c3e7845fa
UR - http://www.scopus.com/inward/record.url?scp=84945965647&partnerID=8YFLogxK
U2 - 10.1016/j.physe.2015.10.028
DO - 10.1016/j.physe.2015.10.028
M3 - Article
VL - 76
SP - 181
EP - 186
JO - Physica E: Low-Dimensional Systems and Nanostructures
JF - Physica E: Low-Dimensional Systems and Nanostructures
SN - 1386-9477
ER -