Abstract
In this chapter, we consider surpassing the Standard Quantum Limit (SQL) for measuring a weak force with a mechanical oscillator. By using a time-dependent variational readout, we can measure the mechanical quadrature—a conserved quantity of the oscillator motion—and evade measurement-induced back-action. This is motivated by the pioneering work of Vyatchanin et al. [7, 8], in which such a back-action-evading variational scheme is proposed to detect a force signal with known arrival time.
Keywords
- Readout Quadrature
- Standard Quantum Limit (SQL)
- Resonance Gain
- Oscillator Position
- Stroboscopic Measurements
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© 2012 Springer-Verlag Berlin Heidelberg
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Miao, H. (2012). Measuring a Conserved Quantity: Variational Quadrature Readout. In: Exploring Macroscopic Quantum Mechanics in Optomechanical Devices. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25640-0_5
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DOI: https://doi.org/10.1007/978-3-642-25640-0_5
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Online ISBN: 978-3-642-25640-0
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