Advertisement

Modifying Test-Mass Dynamics: Double Optical Spring

  • Haixing Miao
Chapter
Part of the Springer Theses book series (Springer Theses)

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.

Keywords

Test Mass Friction Term Feedback Control Method Standard Quantum Limit Intracavity Power 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    V.B. Braginsky, Classical and quantum restrictions on the detection of weak disturbances of a macroscopic oscillator. JETP 26, 831 (1968)ADSGoogle Scholar
  2. 2.
    V.B. Braginsky, F.Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1992)CrossRefzbMATHGoogle Scholar
  3. 3.
    A. Buonanno, Y. Chen, Signal recycled laser-interferometer gravitational-wave detectors as optical springs. Phys. Rev. D 65, 042001 (2002)CrossRefADSGoogle Scholar
  4. 4.
    A. Buonanno, Y. Chen, Scaling law in signal recycled laserinterferometer gravitational-wave detectors. Phys. Rev. D 67, 062002 (2003)CrossRefADSGoogle Scholar
  5. 5.
    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)CrossRefADSGoogle Scholar
  6. 6.
    Y. Chen, S.L. Danilishin, F.Y. Khalili, H. Mller-Ebhardt, QND measurements for future gravitational-wave detectors, arXiv:0910.0319, 2009Google Scholar
  7. 7.
    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)CrossRefADSGoogle Scholar
  8. 8.
    J. Mizuno, Comparison of optical configurations for laser-interferometric gravitational-wave detectors. Ph.D. thesis, Max-Planck Institut für Quantenoptik, Garching, Germany, 1995Google Scholar
  9. 9.
    H. Mueller-Ebhardt, On quantum effects in the dynamics of macroscopic test masses. Ph.D. thesis, Leibniz University Hannover, 2009Google Scholar
  10. 10.
    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)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Caltech M350-17Theoretical AstrophysicsPasadenaUSA

Personalised recommendations