Abstract
In this chapter, we will discuss the approach to surpassing the free-mass Standard Quantum Limit (SQL) by modifying the the test-mass dynamics with double optical springs. We explore the frequency dependence of the optical spring effect. In particular, we show that the frequency dependence of double optical springs allows us to create a “negative inertia”, which cancels the positive inertia of the test-mass with the mechanical response significantly enhanced.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
V.B. Braginsky, Classical and quantum restrictions on the detection of weak disturbances of a macroscopic oscillator. JETP 26, 831 (1968)
V.B. Braginsky, F.Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1992)
A. Buonanno, Y. Chen, Signal recycled laser-interferometer gravitational-wave detectors as optical springs. Phys. Rev. D 65, 042001 (2002)
A. Buonanno, Y. Chen, Scaling law in signal recycled laserinterferometer gravitational-wave detectors. Phys. Rev. D 67, 062002 (2003)
C.M. Caves, K.S. Thorne, R.W. Drever, V.D. Sandberg, M. Zimmermann, On the measurement of a weak classical force coupled to a quantummechanical oscillator. I. Issues of principle. Rev. Mod. Phys. 52, 341 (1980)
Y. Chen, S.L. Danilishin, F.Y. Khalili, H. Mller-Ebhardt, QND measurements for future gravitational-wave detectors, arXiv:0910.0319, 2009
H.J. Kimble, Y. Levin, A.B. Matsko, K.S. Thorne, S.P. Vyatchanin, Conversion of conventional gravitational-wave interferometers into quantum nondemolition interferometers by modifying their input and/or output optics. Phys. Rev. D 65, 022002 (2001)
J. Mizuno, Comparison of optical configurations for laser-interferometric gravitational-wave detectors. Ph.D. thesis, Max-Planck Institut für Quantenoptik, Garching, Germany, 1995
H. Mueller-Ebhardt, On quantum effects in the dynamics of macroscopic test masses. Ph.D. thesis, Leibniz University Hannover, 2009
H. Rehbein, H. Müller-Ebhardt, K. Somiya, S.L. Danilishin, R. Schnabel, K. Danzmann, Y. Chen, Double optical spring enhancement for gravitational-wave detectors. Phys. Rev. D 78, 062003 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Miao, H. (2012). Modifying Test-Mass Dynamics: Double Optical Spring. In: Exploring Macroscopic Quantum Mechanics in Optomechanical Devices. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25640-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-25640-0_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25639-4
Online ISBN: 978-3-642-25640-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)