Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator

Details Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator

2010-09-25

arxiv.org/abs/1009.5020v2

EPL 94, 68007 (2011)

Physics

Quantum Physics

replaced with published version. Corrected fig. 1 + some minor changes

Scientific paper

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.

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