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Stable optical spring in the Advanced LIGO detector with unbalanced arms and in the Michelson-Sagnac interferometer

Nikita Vostrosablin* and Sergey P. Vyatchanin

  • Physics Department, Moscow State University, Moscow 119992, Russia

  • *vostrosablin@physics.msu.ru
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Phys. Rev. D 89, 062005 – Published 24 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.062005

Abstract

Optical rigidity in the Advanced LIGO gravitational-wave detector, operated on the dark port regime, is unstable. We show that the same interferometer with excluded symmetric mechanical mode but with unbalanced arms allows us to get stable optical spring for the antisymmetric mechanical mode. The arm detuning necessary to get stability is shown to be a small one—it corresponds to small power in the signal port. We show that stable optical spring may be also obtained in the Michelson-Sagnac interferometer with both power and signal recycling mirrors and unbalanced arms.

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References (43)

  1. B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, R. S. Amin, S. B. Anderson, W. G. Anderson, M. A. Arain et al., Rep. Prog. Phys. 72, 076901 (2009).
  2. G. M. Harry (the LIGO Scientific Collaboration), Classical Quantum Gravity 27, 084006 (2010).
  3. T. Accadia, F. Acernese, M. Alshourbagy, P. Amico, F. Antonucci, S. Aoudia, N. Arnaud, C. Arnault, K. G. Arun, P. Astone et al., JINST 7, P03012 (2012).
  4. H. Grote, Classical Quantum Gravity 27, 084003 (2010).
  5. The Virgo Collaboration, Advanced Virgo Baseline Design, Report No. VIR027A09, 2009.
  6. M. Punturo, M. Abernathy, F. Acernese, B. Allen, N. Andersson, K. Arun, F. Barone, B. Barr, M. Barsuglia, M. Beker et al., Classical Quantum Gravity 27, 084007 (2010).
  7. S. Hild, M. Abernathy, F. Acernese, P. Amaro-Seoane, N. Andersson, K. Arun, F. Barone, B. Barr, M. Barsuglia, M. Beker et al., Classical Quantum Gravity 28, 094013 (2011).
  8. B. Willke et al., Classical Quantum Gravity 23, S207 (2006).
  9. K. Somiya, Classical Quantum Gravity 29, 124007 (2012).
  10. V. B. Braginsky, Sov. Phys. JETP 26, 831 (1968).
  11. V. B. Braginsky and Yu. I. Vorontsov, Sov. Phys. Usp. 17, 644 (1975).
  12. V. B. Braginsky, Yu. I. Vorontsov, and F. Ya. Khalili, Sov. Phys. JETP 46, 705 (1977).
  13. V. B. Braginsky and F. Ya. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, England, 1992).
  14. V. B. Braginsky and I. I. Minakova, Vestnik Moskovskogo Universiteta, Fizika i Astronomiya 1, 83 (1967).
  15. V. Braginsky and A. Manukin, Sov. Phys. JETP 25, 653 (1967).
  16. V. B. Braginskii, Physical experiments with test bodies (National Aeronautics and Space Administration, NASA technical translation: F-672, 1972).
  17. V. Braginsky and F. Khalili, Phys. Lett. A 257, 241 (1999).
  18. F. Ya. Khalili, Phys. Lett. A 288, 251 (2001).
  19. A. Buonanno and Y. Chen, Phys. Rev. D 64, 042006 (2001).
  20. A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002).
  21. V. I. Lazebny and S. P. Vyatchanin, Phys. Lett. A 344, 7 (2005).
  22. F. Ya. Khalili, V. I. Lazebny, and S. P. Vyatchanin, Phys. Rev. D 73, 062002 (2006).
  23. A. Nishizawa, M. Sakagami, and S. Kawamura, Phys. Rev. D 76, 042002 (2007).
  24. M. Rakhmanov, Ph.D. thesis, California Institute of Technology, 2000.
  25. A. A. Rakhubovsky and S. P. Vyatchanin, Phys. Lett. A 376, 1405 (2012).
  26. A. Buonanno and Y. Chen, Phys. Rev. D 67, 062002 (2003).
  27. H. Rehbein, H. Müller-Ebhardt, K. Somiya, S. L. Danilishin, C. Li, R. Schnabel, K. Danzmann, and Y. Chen, Phys. Rev. D 78, 062003 (2008).
  28. A. A. Rakhubovsky, S. Hild, and S. P. Vyatchanin, Phys. Rev. D 84 (2011).
  29. T. Corbitt, Y. Chen, E. Innerhofer, H. Müller-Ebhardt, D. Ottaway, H. Rehbein, D. Sigg, S. Whitcomb, C. Wipf, and N. Mavalvala, Phys. Rev. Lett. 98, 150802 (2007).
  30. S. P. Tarabrin, H. Kaufer, F. Ya. Khalili, R. Schnabel, and K. Hammerer, Phys. Rev. A 88, 023809 (2013).
  31. D. Friedrich, H. Kaufer, T. Westphal, K. Yamamoto, A. Sawadsky, F. Khalili, S. Danilishin, S. Gothler, K. Danzmann, and R. Schnabel, New J. Phys. 13, 093017 (2011).
  32. K. Yamamoto, D. Friedrich, T. Westphal, S. Goáßler, K. Danzmann, K. Somiya, S. Danilishin, and R. Schnabel, Phys. Rev. A 81, 033849 (2010).
  33. A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
  34. F. Khalili, S. Danilishin, H. Miao, H. Müller-Ebhardt, H. Yang, and Y. Chen, Phys. Rev. Lett. 105, 1 (2010).
  35. J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature (London) 452, 72 (2008).
  36. E. Verhagen, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature (London) 482, 63 (2012).
  37. M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, Nature (London) 462, 78 (2009).
  38. M. R. Vanner, I. Pikovski, G. D. Cole, M. S. Kim, C. Brukner, K. Hammerer, G. J. Milburn, and M. Aspelmeyer, Proc. Natl. Acad. Sci. U.S.A. 108, 16182 (2011).
  39. S. Danilishin and F. Y. Khalili, Living Rev. Relativity 15, 5 (2012).
  40. S. P. Vyatchanin, Sov. Phys. Dokl. 23, 321 (1977).
  41. F. Marquardt, A. A. Clerk, and S. M. Girvin, J. Mod. Opt. 55, 3329 (2008).
  42. Advanced LIGO reference design, 2005, http://www.ligo.caltech.edu/advLIGO/scripts/ref_des.shtml.
  43. H. Kimble, Yu. Levin, A. Matsko, K. Thorne, and S. Vyatchanin, Phys. Rev. D 65, 022002 (2001).

Outline

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Phys. Rev. D 89, 062005– Published 24 March, 2014
  • Received 2 January 2014

© 2014 American Physical Society

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