Coupled harmonic oscillators for the measurement of a weak classical force at the standard quantum limit

Details Coupled harmonic oscillators for the measurement of a weak classical force at the standard quantum limit Coupled harmonic oscillators for the measurement of a weak classical force at the standard quantum limit

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007phrva..76f2101l&link_type=abstract

Physical Review A, vol. 76, Issue 6, id. 062101

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3

Foundations Of Quantum Mechanics, Measurement Theory, Gravitational Radiation Detectors, Mass Spectrometers, And Other Instrumentation And Techniques, Gravitational Wave Detectors And Experiments, Nonclassical States Of The Electromagnetic Field, Including Entangled Photon States, Quantum State Engineering And Measurements

Scientific paper

We discuss limitations in precision measurements of a weak classical force coupled to quantum mechanical systems, the so-called standard quantum limit (SQL). Among the several contexts exploiting the measurement of classical signals, gravitational wave (GW) detection is of paramount importance. In this framework, we analyze the quantum limited sensitivity of a free test mass, a quantum mechanical harmonic oscillator, two harmonic oscillators with equal masses and different resonance frequencies, and finally two mechanical oscillators with different masses and resonating at the same frequency. The sensitivity analysis of the latter two cases illustrates the potentialities of back-action reduction and classical impedance matching schemes, respectively. By examining coupled quantum oscillators as detectors of classical signals, we found a viable path to approach the SQL for planned or operating GW detectors, such as DUAL and AURIGA.

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