Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator
Quantum Physics
2012-07-23 v3 Mesoscale and Nanoscale Physics
Abstract
Nano-mechanical resonators have a large potential as sensors of very small adsorbed masses, down to the atomic level and beyond. Here I establish the fundamental lower bound on the mass that can be measured with a nano-mechanical oscillator in a given quantum state based on the quantum Cram\'er--Rao bound, limited only by the laws of quantum mechanics, and identify the quantum states which will allow the largest sensitivity for a given maximum energy.
Keywords
Cite
@article{arxiv.1009.5020,
title = {Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator},
author = {Daniel Braun},
journal= {arXiv preprint arXiv:1009.5020},
year = {2012}
}
Comments
Corrected a mistake in the formula for coherent states. Fig.1 and some numerical values changed