Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator

Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator

Labadze, G. (External organisation; Kavli institute of nanoscience Delft)
Dukalski, M.S. (External organisation; Kavli institute of nanoscience Delft)
Blanter, Y.M. (TU Delft QN/Blanter Group; Kavli institute of nanoscience Delft)

2016

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.

Nano- and opto-mechanics
Non-linear systems
Parametric resonance
Quantum effects

http://resolver.tudelft.nl/uuid:0cc9f9bd-4454-4e4f-a8de-5e0c3e7845fa

https://doi.org/10.1016/j.physe.2015.10.028

2017-10-26

1386-9477

Physica E: Low-Dimensional Systems and Nanostructures, 76, 181-186

Accepted Author Manuscript

Institutional Repository

journal article

© 2016 G. Labadze, M.S. Dukalski, Y.M. Blanter