Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator
arXiv:1009.5020 · doi:10.1209/0295-5075/94/68007
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 Cramér--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.
Corrected a mistake in the formula for coherent states. Fig.1 and some numerical values changed
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