Abstract

We analyze the features of the output field of a generic optomechanical system that is driven by a control field and a nanosecond driven pulse, and find a robust high-order sideband generation in optomechanical systems. The typical spectral structure, plateau and cutoff, confirms the nonperturbative nature of the effect, which is similar to high-order harmonic generation in atoms or molecules. Based on the phenomenon, we show that the carrier-envelope phase of laser pulses that contain huge numbers of cycles can cause profound effects.

© 2013 Optical Society of America

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  1. T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
    [CrossRef]
  2. C. P. J. Martiny and L. B. Madsen, Phys. Rev. Lett. 97, 093001 (2006).
    [CrossRef]
  3. G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
    [CrossRef]
  4. V. Roudnev, B. D. Esry, and I. Ben-Itzhak, Phys. Rev. Lett. 93, 163601 (2004).
    [CrossRef]
  5. G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
    [CrossRef]
  6. F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
    [CrossRef]
  7. Y. Wu and X. Yang, Phys. Rev. A 76, 013832 (2007).
    [CrossRef]
  8. P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
    [CrossRef]
  9. J.-Q. Liao, H. K. Cheung, and C. K. Law, Phys. Rev. A 85, 025803 (2012).
    [CrossRef]
  10. F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
    [CrossRef]
  11. J.-Q. Liao and C. K. Law, Phys. Rev. A 84, 053838 (2011).
    [CrossRef]
  12. J. Hofer, A. Schliesser, and T. J. Kippenberg, Phys. Rev. A 82, 031804 (2010).
    [CrossRef]
  13. S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
    [CrossRef]
  14. S. Huang and G. S. Agarwal, Phys. Rev. A 81, 053810 (2010).
    [CrossRef]
  15. J. Zhu and G. Li, Phys. Rev. A 86, 053828 (2012).
    [CrossRef]
  16. J.-Q. Zhang, Y. Li, M. Feng, and Y. Xu, Phys. Rev. A 86, 053806 (2012).
    [CrossRef]
  17. E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
    [CrossRef]
  18. H. Xiong, L.-G. Si, A.-S. Zheng, X. Yang, and Y. Wu, Phys. Rev. A 86, 013815 (2012).
    [CrossRef]
  19. Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
    [CrossRef]
  20. J. P. Marangos, Nat. Phys. 7, 97 (2011).
    [CrossRef]
  21. J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
    [CrossRef]
  22. J. J. Macklin, J. D. Kmetec, and C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993).
    [CrossRef]
  23. N. Bloembergen, Rev. Mod. Phys. 71, S283 (1999).
    [CrossRef]
  24. P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
    [CrossRef]
  25. B. Zaks, R. B. Liu, and M. S. Sherwin, Nature 483, 580 (2012).
    [CrossRef]

2012 (7)

J.-Q. Liao, H. K. Cheung, and C. K. Law, Phys. Rev. A 85, 025803 (2012).
[CrossRef]

F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
[CrossRef]

J. Zhu and G. Li, Phys. Rev. A 86, 053828 (2012).
[CrossRef]

J.-Q. Zhang, Y. Li, M. Feng, and Y. Xu, Phys. Rev. A 86, 053806 (2012).
[CrossRef]

E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
[CrossRef]

H. Xiong, L.-G. Si, A.-S. Zheng, X. Yang, and Y. Wu, Phys. Rev. A 86, 013815 (2012).
[CrossRef]

B. Zaks, R. B. Liu, and M. S. Sherwin, Nature 483, 580 (2012).
[CrossRef]

2011 (4)

Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
[CrossRef]

J. P. Marangos, Nat. Phys. 7, 97 (2011).
[CrossRef]

J.-Q. Liao and C. K. Law, Phys. Rev. A 84, 053838 (2011).
[CrossRef]

P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
[CrossRef]

2010 (3)

J. Hofer, A. Schliesser, and T. J. Kippenberg, Phys. Rev. A 82, 031804 (2010).
[CrossRef]

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

S. Huang and G. S. Agarwal, Phys. Rev. A 81, 053810 (2010).
[CrossRef]

2009 (2)

F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
[CrossRef]

P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
[CrossRef]

2007 (1)

Y. Wu and X. Yang, Phys. Rev. A 76, 013832 (2007).
[CrossRef]

2006 (2)

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

C. P. J. Martiny and L. B. Madsen, Phys. Rev. Lett. 97, 093001 (2006).
[CrossRef]

2004 (1)

V. Roudnev, B. D. Esry, and I. Ben-Itzhak, Phys. Rev. Lett. 93, 163601 (2004).
[CrossRef]

2001 (1)

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

2000 (1)

T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

1999 (1)

N. Bloembergen, Rev. Mod. Phys. 71, S283 (1999).
[CrossRef]

1993 (1)

J. J. Macklin, J. D. Kmetec, and C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993).
[CrossRef]

1992 (1)

J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
[CrossRef]

Agarwal, G. S.

S. Huang and G. S. Agarwal, Phys. Rev. A 81, 053810 (2010).
[CrossRef]

Altucci, C.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Arcizet, O.

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

Avaldi, L.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Benedetti, E.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Ben-Itzhak, I.

V. Roudnev, B. D. Esry, and I. Ben-Itzhak, Phys. Rev. Lett. 93, 163601 (2004).
[CrossRef]

Bloembergen, N.

N. Bloembergen, Rev. Mod. Phys. 71, S283 (1999).
[CrossRef]

Brabec, T.

T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

Calegari, F.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Chen, J.

Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
[CrossRef]

Cheung, H. K.

J.-Q. Liao, H. K. Cheung, and C. K. Law, Phys. Rev. A 85, 025803 (2012).
[CrossRef]

De Silvestri, S.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Deléglise, S.

E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
[CrossRef]

Delglise, S.

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

Esry, B. D.

V. Roudnev, B. D. Esry, and I. Ben-Itzhak, Phys. Rev. Lett. 93, 163601 (2004).
[CrossRef]

Feng, M.

J.-Q. Zhang, Y. Li, M. Feng, and Y. Xu, Phys. Rev. A 86, 053806 (2012).
[CrossRef]

Flammini, R.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Fu, P.

Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
[CrossRef]

Gavartin, E.

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

Gordon, C. L.

J. J. Macklin, J. D. Kmetec, and C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993).
[CrossRef]

Grasbon, F.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Hofer, J.

J. Hofer, A. Schliesser, and T. J. Kippenberg, Phys. Rev. A 82, 031804 (2010).
[CrossRef]

Hong, F.-Y.

F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
[CrossRef]

Huang, P.

P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
[CrossRef]

Huang, S.

S. Huang and G. S. Agarwal, Phys. Rev. A 81, 053810 (2010).
[CrossRef]

Ivanov, M.

F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
[CrossRef]

Jha, P. K.

P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
[CrossRef]

Jiang, L.

F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
[CrossRef]

Kippenberg, T. J.

E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
[CrossRef]

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

J. Hofer, A. Schliesser, and T. J. Kippenberg, Phys. Rev. A 82, 031804 (2010).
[CrossRef]

Kmetec, J. D.

J. J. Macklin, J. D. Kmetec, and C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993).
[CrossRef]

Krause, J. L.

J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
[CrossRef]

Krausz, F.

F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
[CrossRef]

T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

Kulander, K. C.

J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
[CrossRef]

Law, C. K.

J.-Q. Liao, H. K. Cheung, and C. K. Law, Phys. Rev. A 85, 025803 (2012).
[CrossRef]

J.-Q. Liao and C. K. Law, Phys. Rev. A 84, 053838 (2011).
[CrossRef]

Li, G.

J. Zhu and G. Li, Phys. Rev. A 86, 053828 (2012).
[CrossRef]

Li, H.

P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
[CrossRef]

Li, J.

P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
[CrossRef]

Li, Y.

J.-Q. Zhang, Y. Li, M. Feng, and Y. Xu, Phys. Rev. A 86, 053806 (2012).
[CrossRef]

Liao, J.-Q.

J.-Q. Liao, H. K. Cheung, and C. K. Law, Phys. Rev. A 85, 025803 (2012).
[CrossRef]

J.-Q. Liao and C. K. Law, Phys. Rev. A 84, 053838 (2011).
[CrossRef]

Liu, R. B.

B. Zaks, R. B. Liu, and M. S. Sherwin, Nature 483, 580 (2012).
[CrossRef]

Lü, X.

P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
[CrossRef]

Macklin, J. J.

J. J. Macklin, J. D. Kmetec, and C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993).
[CrossRef]

Madsen, L. B.

C. P. J. Martiny and L. B. Madsen, Phys. Rev. Lett. 97, 093001 (2006).
[CrossRef]

Marangos, J. P.

J. P. Marangos, Nat. Phys. 7, 97 (2011).
[CrossRef]

Martiny, C. P. J.

C. P. J. Martiny and L. B. Madsen, Phys. Rev. Lett. 97, 093001 (2006).
[CrossRef]

Nisoli, M.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Paulus, G. G.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Poletto, L.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Priori, E.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Rivire, R.

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

Rostovtsev, Y. V.

P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
[CrossRef]

Roudnev, V.

V. Roudnev, B. D. Esry, and I. Ben-Itzhak, Phys. Rev. Lett. 93, 163601 (2004).
[CrossRef]

Sansone, G.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Sautenkov, V. A.

P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
[CrossRef]

Schafer, K. J.

J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
[CrossRef]

Schliesser, A.

E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
[CrossRef]

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

J. Hofer, A. Schliesser, and T. J. Kippenberg, Phys. Rev. A 82, 031804 (2010).
[CrossRef]

Scully, M. O.

P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
[CrossRef]

Sherwin, M. S.

B. Zaks, R. B. Liu, and M. S. Sherwin, Nature 483, 580 (2012).
[CrossRef]

Si, L.-G.

H. Xiong, L.-G. Si, A.-S. Zheng, X. Yang, and Y. Wu, Phys. Rev. A 86, 013815 (2012).
[CrossRef]

Silvestri, D. D.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Stagira, S.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Stagiral, S.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Tang, W. H.

F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
[CrossRef]

Velotta, R.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Verhagen, E.

E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
[CrossRef]

Villoresi, P.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Vozzi, C.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagiral, S. De Silvestri, and M. Nisoli, Science 314, 443 (2006).
[CrossRef]

Walther, H.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and D. D. Silvestri, Nature 414, 182 (2001).
[CrossRef]

Wang, B.

Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
[CrossRef]

Weis, S.

E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Nature 482, 63 (2012).
[CrossRef]

S. Weis, R. Rivire, S. Delglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010).
[CrossRef]

Wu, L.

F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
[CrossRef]

Wu, Y.

H. Xiong, L.-G. Si, A.-S. Zheng, X. Yang, and Y. Wu, Phys. Rev. A 86, 013815 (2012).
[CrossRef]

Y. Wu and X. Yang, Phys. Rev. A 76, 013832 (2007).
[CrossRef]

Xiang, Y.

F.-Y. Hong, Y. Xiang, W. H. Tang, Z.-Y. Zhu, L. Jiang, and L. Wu, Phys. Rev. A 85, 012309 (2012).
[CrossRef]

Xie, X.-T.

P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
[CrossRef]

Xiong, H.

H. Xiong, L.-G. Si, A.-S. Zheng, X. Yang, and Y. Wu, Phys. Rev. A 86, 013815 (2012).
[CrossRef]

Xu, Y.

J.-Q. Zhang, Y. Li, M. Feng, and Y. Xu, Phys. Rev. A 86, 053806 (2012).
[CrossRef]

Yan, Z.-C.

Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
[CrossRef]

Yang, X.

H. Xiong, L.-G. Si, A.-S. Zheng, X. Yang, and Y. Wu, Phys. Rev. A 86, 013815 (2012).
[CrossRef]

P. Huang, X.-T. Xie, X. Lü, J. Li, and X. Yang, Phys. Rev. A 79, 043806 (2009).
[CrossRef]

Y. Wu and X. Yang, Phys. Rev. A 76, 013832 (2007).
[CrossRef]

Zaks, B.

B. Zaks, R. B. Liu, and M. S. Sherwin, Nature 483, 580 (2012).
[CrossRef]

Zhai, Z.

Z. Zhai, Q. Zhu, J. Chen, Z.-C. Yan, P. Fu, and B. Wang, Phys. Rev. A 83, 043409 (2011).
[CrossRef]

Zhang, J.-Q.

J.-Q. Zhang, Y. Li, M. Feng, and Y. Xu, Phys. Rev. A 86, 053806 (2012).
[CrossRef]

Zheng, A.-S.

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Figures (3)

Fig. 1.
Fig. 1.

(a) Schematic diagram of a traditional optomechanical system. The optomechanical system is driven by a strong control field with frequency ω1 and a probe field. Here the probing light is replaced by a strong nanosecond pulse. (b) Effective driven pulse of an optomechanical system. The driven pulse contains huge numbers of cycles in reality. However, in a frame rotating at ω1, the effective driven pulse contains only a few cycles. The solid and dotted curves show the electric fields with different CEPs, ϕ=0 (solid curve) and ϕ=π/2 (dotted curve). (c) Frequency spectrogram of a traditional optomechanical system. The frequency of the control field is shown by the yellow line, while the probe field is shown green. The cavity resonance frequency ωc which has a linewidth of κ, is detuned by Δ¯ from the control field. There are second-, third-, and higher-order sidebands.

Fig. 2.
Fig. 2.

HSG spectra output from the optomechanical system is shown with different CEPs: (a) ϕ=0, (b) ϕ=π/2, (c) ϕ=π, and (d) ϕ=3π/2.

Fig. 3.
Fig. 3.

Dependence of amplitude of the (a) first-, (b) second-, (c) third-, and (d) fourth-order sidebands on maximum amplitude of the probe pulse. A fit to the appropriate perturbative scaling law, spn, is plotted with dashed curves for each sideband. The power of the control field is P1=s12ω1=0.373W here.

Equations (3)

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a˙=(iΔ¯κ/2)a+ηcκ[s1+spE(t)ei(Ωt+ϕ)],
x˙=p/m,
p˙=mΩm2xGa*aΓmp,

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