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

Journal Article · Sat Dec 15 04:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.062101· OSTI ID:21140602

Leaci, Paola ^[1]; Ortolan, Antonello ^[2]

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1. Department of Physics, University of Trento and INFN Trento, I-38100 Povo, Trento (Italy)
2. INFN Laboratori Nazionali di Legnaro, I-35020 Legnaro, Padova (Italy)

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.

• OSTI ID: 21140602
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
GRAVITATIONAL WAVES
HARMONIC OSCILLATORS
IMPEDANCE
MASS
QUANTUM MECHANICS
REDUCTION
RESONANCE
SENSITIVITY ANALYSIS