Abstract

We present the experimental observation of an optical spring without the use of an optical cavity. The optical spring is produced by interference at a beam splitter and, in principle, does not have the damping force associated with optical springs created in detuned cavities. The experiment consists of a Michelson–Sagnac interferometer (with no recycling cavities) with a partially reflective GaAs microresonator as the beam splitter that produces the optical spring. Our experimental measurements at input powers of up to 360 mW show the shift of the optical spring frequency as a function of power and are in excellent agreement with theoretical predictions. In addition, we show that the optical spring is able to keep the interferometer stable and locked without the use of external feedback.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Observation of optical spring effect in a microtoroidal optomechanical resonator

Mani Hossein-Zadeh and Kerry J. Vahala
Opt. Lett. 32(12) 1611-1613 (2007)

Designing optical circuits using plasmonic beam splitters

Sachin Kasture
Opt. Lett. 43(11) 2547-2550 (2018)

Electro-mechanical control of an on-chip optical beam splitter containing an embedded quantum emitter

Z. K. Bishop, A. P. Foster, B. Royall, C. Bentham, E. Clarke, M. S. Skolnick, and L. R. Wilson
Opt. Lett. 43(9) 2142-2145 (2018)

References

  • View by:
  • |
  • |
  • |

  1. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
    [Crossref]
  2. V. B. Braginsky and I. I. Minakova, Moscow Univ. Phys. Bull. 1, 83 (1964).
  3. V. B. Braginsky and A. B. Manukin, Sov. Phys. JETP 25, 653 (1967).
  4. B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
    [Crossref]
  5. T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
    [Crossref]
  6. J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
    [Crossref]
  7. O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
    [Crossref]
  8. T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
    [Crossref]
  9. T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
    [Crossref]
  10. 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).
    [Crossref]
  11. R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
    [Crossref]
  12. D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
    [Crossref]
  13. P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
    [Crossref]
  14. LIGO Scientific Collaboration, Classical Quantum Gravity 32, 074001 (2015).
    [Crossref]
  15. VIRGO Collaboration, Classical Quantum Gravity 32, 024001 (2015).
    [Crossref]
  16. A. Buonanno and Y. Chen, Classical Quantum Gravity 19, 1569 (2002).
    [Crossref]
  17. A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002).
    [Crossref]
  18. J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
    [Crossref]
  19. A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
    [Crossref]
  20. A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
    [Crossref]
  21. A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
    [Crossref]
  22. S. L. Danilishin and F. Y. Khalili, Living Rev. Relativity 15, 5 (2012).
    [Crossref]
  23. G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
    [Crossref]
  24. G. D. Cole, Proc. SPIE 8458, 845807 (2012).
    [Crossref]
  25. T. Corbitt, Y. Chen, and N. Mavalvala, Phys. Rev. A 72, 013818 (2005).
    [Crossref]
  26. H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
    [Crossref]

2018 (1)

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

2017 (1)

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

2016 (1)

R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
[Crossref]

2015 (5)

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

LIGO Scientific Collaboration, Classical Quantum Gravity 32, 074001 (2015).
[Crossref]

VIRGO Collaboration, Classical Quantum Gravity 32, 024001 (2015).
[Crossref]

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
[Crossref]

2014 (1)

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
[Crossref]

2012 (2)

G. D. Cole, Proc. SPIE 8458, 845807 (2012).
[Crossref]

S. L. Danilishin and F. Y. Khalili, Living Rev. Relativity 15, 5 (2012).
[Crossref]

2011 (1)

A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
[Crossref]

2008 (3)

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

2007 (1)

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).
[Crossref]

2006 (3)

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

2005 (2)

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

T. Corbitt, Y. Chen, and N. Mavalvala, Phys. Rev. A 72, 013818 (2005).
[Crossref]

2004 (1)

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

2002 (2)

A. Buonanno and Y. Chen, Classical Quantum Gravity 19, 1569 (2002).
[Crossref]

A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002).
[Crossref]

1967 (1)

V. B. Braginsky and A. B. Manukin, Sov. Phys. JETP 25, 653 (1967).

1964 (1)

V. B. Braginsky and I. I. Minakova, Moscow Univ. Phys. Bull. 1, 83 (1964).

Abbott, B.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Adhikari, R.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Aggarwal, N.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

Altin, P. A.

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

Aspelmeyer, M.

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
[Crossref]

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

Ballmer, S. W.

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

Bork, R.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Braginsky, V. B.

V. B. Braginsky and A. B. Manukin, Sov. Phys. JETP 25, 653 (1967).

V. B. Braginsky and I. I. Minakova, Moscow Univ. Phys. Bull. 1, 83 (1964).

Buonanno, A.

A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002).
[Crossref]

A. Buonanno and Y. Chen, Classical Quantum Gravity 19, 1569 (2002).
[Crossref]

Busby, D.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Carmon, T.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

Chen, Y.

H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
[Crossref]

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).
[Crossref]

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

T. Corbitt, Y. Chen, and N. Mavalvala, Phys. Rev. A 72, 013818 (2005).
[Crossref]

A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002).
[Crossref]

A. Buonanno and Y. Chen, Classical Quantum Gravity 19, 1569 (2002).
[Crossref]

Clerk, A. A.

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Cole, G. D.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
[Crossref]

G. D. Cole, Proc. SPIE 8458, 845807 (2012).
[Crossref]

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

Corbitt, T.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
[Crossref]

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).
[Crossref]

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

T. Corbitt, Y. Chen, and N. Mavalvala, Phys. Rev. A 72, 013818 (2005).
[Crossref]

Cripe, J.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
[Crossref]

Danilishin, S. L.

S. L. Danilishin and F. Y. Khalili, Living Rev. Relativity 15, 5 (2012).
[Crossref]

Evans, M.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Gigan, S.

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

Girvin, S. M.

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

Gray, M. B.

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

Gröblacher, S.

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

Gugler, K.

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

Hammerer, K.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
[Crossref]

Harris, J. G. E.

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

Heefner, J.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Innerhofer, E.

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).
[Crossref]

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

Ivanov, A.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Jayich, A. M.

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Kaufer, H.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

Kawamura, S.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Kawazoe, F.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Kelley, D.

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

Khalili, F.

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

Khalili, F. Y.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

S. L. Danilishin and F. Y. Khalili, Living Rev. Relativity 15, 5 (2012).
[Crossref]

Kippenberg, T. J.

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
[Crossref]

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

Lanza, R.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

Libson, A.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

Lough, J.

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

Ma, Y.

H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
[Crossref]

Mangaña Sandoval, F.

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

Manukin, A. B.

V. B. Braginsky and A. B. Manukin, Sov. Phys. JETP 25, 653 (1967).

Marquardt, F.

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
[Crossref]

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Mavalvala, N.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

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).
[Crossref]

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

T. Corbitt, Y. Chen, and N. Mavalvala, Phys. Rev. A 72, 013818 (2005).
[Crossref]

McClelland, D. E.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

Miao, H.

H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
[Crossref]

Minakova, I. I.

V. B. Braginsky and I. I. Minakova, Moscow Univ. Phys. Bull. 1, 83 (1964).

Miyakawa, O.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Mow-Lowry, C.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Mow-Lowry, C. M.

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

Müller-Ebhardt, H.

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).
[Crossref]

Nguyen, T. T.-H.

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

Nia, R. M.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

Ottaway, D.

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).
[Crossref]

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

Pelc, J.

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

Perreca, A.

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

Rehbein, H.

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).
[Crossref]

Rokhsari, H.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

Sakata, S.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Sankey, J. C.

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Sawadsky, A.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

Scherer, A.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

Schnabel, R.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
[Crossref]

Shaddock, D. A.

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

Sheard, B. S.

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

Sigg, D.

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).
[Crossref]

Singh, R.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
[Crossref]

Slagmolen, B. J. J.

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

Smith, M.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Tarabrin, S. P.

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

Taylor, R.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Thompson, J. D.

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

Vahala, K. J.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

Varvella, M.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Vass, S.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Vyatchanin, S.

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

Ward, R.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Ward, R. L.

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

Weinstein, A.

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

Whitcomb, S.

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).
[Crossref]

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

Whitcomb, S. E.

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

Wipf, C.

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).
[Crossref]

Xuereb, A.

A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
[Crossref]

Yang, C.

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Yap, M. J.

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

Zhao, C.

H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
[Crossref]

Zwickl, B. M.

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Appl. Phys. Lett. (1)

G. D. Cole, S. Gröblacher, K. Gugler, S. Gigan, and M. Aspelmeyer, Appl. Phys. Lett. 92, 261108 (2008).
[Crossref]

Classical Quantum Gravity (3)

LIGO Scientific Collaboration, Classical Quantum Gravity 32, 074001 (2015).
[Crossref]

VIRGO Collaboration, Classical Quantum Gravity 32, 024001 (2015).
[Crossref]

A. Buonanno and Y. Chen, Classical Quantum Gravity 19, 1569 (2002).
[Crossref]

Living Rev. Relativity (1)

S. L. Danilishin and F. Y. Khalili, Living Rev. Relativity 15, 5 (2012).
[Crossref]

Moscow Univ. Phys. Bull. (1)

V. B. Braginsky and I. I. Minakova, Moscow Univ. Phys. Bull. 1, 83 (1964).

Nature (1)

J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008).
[Crossref]

New J. Phys. (1)

A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, New J. Phys. 10, 095008 (2008).
[Crossref]

Phys. Rev. A (5)

T. Corbitt, Y. Chen, and N. Mavalvala, Phys. Rev. A 72, 013818 (2005).
[Crossref]

B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, D. E. McClelland, and S. E. Whitcomb, Phys. Rev. A 69, 051801 (2004).
[Crossref]

T. Corbitt, Y. Chen, F. Khalili, D. Ottaway, S. Vyatchanin, S. Whitcomb, and N. Mavalvala, Phys. Rev. A 73, 023801 (2006).
[Crossref]

J. Cripe, N. Aggarwal, R. Singh, R. Lanza, A. Libson, M. J. Yap, G. D. Cole, D. E. McClelland, N. Mavalvala, and T. Corbitt, Phys. Rev. A 97, 013827 (2018).
[Crossref]

T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, Phys. Rev. A 74, 021802 (2006).
[Crossref]

Phys. Rev. D (3)

O. Miyakawa, R. Ward, R. Adhikari, M. Evans, B. Abbott, R. Bork, D. Busby, J. Heefner, A. Ivanov, M. Smith, R. Taylor, S. Vass, A. Weinstein, M. Varvella, S. Kawamura, F. Kawazoe, S. Sakata, and C. Mow-Lowry, Phys. Rev. D 74, 022001 (2006).
[Crossref]

D. Kelley, J. Lough, F. Mangaña Sandoval, A. Perreca, and S. W. Ballmer, Phys. Rev. D 92, 062003 (2015).
[Crossref]

A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002).
[Crossref]

Phys. Rev. Lett. (6)

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[Crossref]

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).
[Crossref]

R. Singh, G. D. Cole, J. Cripe, and T. Corbitt, Phys. Rev. Lett. 117, 213604 (2016).
[Crossref]

H. Miao, Y. Ma, C. Zhao, and Y. Chen, Phys. Rev. Lett. 115, 211104 (2015).
[Crossref]

A. Xuereb, R. Schnabel, and K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011).
[Crossref]

A. Sawadsky, H. Kaufer, R. M. Nia, S. P. Tarabrin, F. Y. Khalili, K. Hammerer, and R. Schnabel, Phys. Rev. Lett. 114, 043601 (2015).
[Crossref]

Proc. SPIE (1)

G. D. Cole, Proc. SPIE 8458, 845807 (2012).
[Crossref]

Rev. Mod. Phys. (1)

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
[Crossref]

Sci. Rep. (1)

P. A. Altin, T. T.-H. Nguyen, B. J. J. Slagmolen, R. L. Ward, D. A. Shaddock, and D. E. McClelland, Sci. Rep. 7, 14546 (2017).
[Crossref]

Sov. Phys. JETP (1)

V. B. Braginsky and A. B. Manukin, Sov. Phys. JETP 25, 653 (1967).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1. Schematic of the experimental optomechanical setup. The Nd:YAG laser is split into two beams by a BSC and directed towards the partially reflective microresonator. One arm of the interferometer contains a steering mirror attached to a piezoelectric device that generates a phase difference ϕ between the two arms of the interferometer. Both arms contain partially transmissive steering mirrors (M1 and M2) that allow some of the reflected and transmitted light to be detected for locking the interferometer. The two reflected and two transmitted beams from the microresonator interfere at the BSC and are detected by a photodetector (PDDP). (b) Fields a and d are incident on the microresonator from opposite sides. The input fields are supplied by a laser of power P0 and frequency ω0 with a and d each receiving about half the total power. The microresonator has power reflectivity Rosc=ρ2=65%. (c) Photomicrograph of the microresonator with a diameter of 140 μm supported by a 200 μm long by 20 μm wide cantilever structure.
Fig. 2.
Fig. 2. Plot of the normalized power at the side photodetectors and of the normalized KOS as a function of ϕ. The interferometer is locked at approximately ϕ=π/2, where the optical spring effect is largest.
Fig. 3.
Fig. 3. Measurements (solid) and theoretical model (dashed) of the optical spring at input powers of 50, 100, 200, and 360 mW. The measured transfer function is taken by injecting a signal to the PID controller connected to the piezo mirror in one arm of the interferometer and measuring its effect at PDDP. The dip at about 850 Hz corresponds to the fundamental mechanical resonance of the microresonator, and the feature at 4.2 kHz is the optical spring coupled to the yaw mode of the microresonator.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

a=P02,
b=ρa+τd,
c=τaρd,
d=P02eiϕ,
ϕ=Lω0c,
Pnet=|b|2|c|2=2ρτP0cosϕ.
Fnet=(Pa+PbPcPd)/c.
δFRP=1cdPnetdLδL,
KOS=1cdPnetdL=2c2ωP0ρτsin(ϕ).
Gcl=11+GOS=Ωmf2Ω2+iΩΓmf(Ω)Ωmf2Ω2+iΩΓmf(Ω)+ΩOS2,
+Ωmy2Ω2+iΩΓmyΩmy2Ω2+iΩΓmy+ΩOS2,
1GclΩOS2Ωm24,

Metrics