Noise suppression for micromechanical resonator
via intrinsic dynamic feedback

doi:10.1007/s11467-008-0025-z

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Front. Phys. ›› 2008, Vol. 3 ›› Issue (3) : 294-305. DOI: 10.1007/s11467-008-0025-z

Frontiers of Plasmonics (Ed. Hong-Xing Xu)

Noise suppression for micromechanical resonator via intrinsic dynamic feedback

IAN Hou, GONG Zhi-rui, SUN Chang-pu

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Abstract

We study a dynamic mechanism to passively suppress the thermal noise of a micromechanical resonator through an intrinsic self-feedback that is genuinely non-Markovian. We use two coupled resonators, one as the target resonator and the other as an ancillary resonator, to illustrate the mechanism and its noise reduction effect. The intrinsic feedback is realized through the dynamics of coupling between the two resonators: the motions of the target resonator and the ancillary resonator mutually influence each other in a cyclic fashion. Specifically, the states that the target resonator has attained earlier will affect the state it attains later due to the presence of the ancillary resonator. We show that the feedback mechanism will bring forth the effect of noise suppression in the spectrum of displacement, but not in the spectrum of momentum.

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IAN Hou, GONG Zhi-rui, SUN Chang-pu. Noise suppression for micromechanical resonator via intrinsic dynamic feedback. Front. Phys., 2008, 3(3): 294‒305 https://doi.org/10.1007/s11467-008-0025-z

References

1. K.Karrai, Nature, 2006, 444: 41. doi: 10.1038/444041a
2. S.Mancini, D.Vitali, and P.Tombesi, Phys. Rev. Lett., 1998, 80: 688. doi: 10.1103/PhysRevLett.80.688
3. A.Hopkins, K.Jacobs, S.Habib, and K.Schwab, Phys. Rev. B, 2003, 68: 235328. doi: 10.1103/PhysRevB.68.235328
4. B.D'Urso, B.Odom, and G.Gabrielse, Phys. Rev. Lett., 2003, 90: 043001. doi: 10.1103/PhysRevLett.90.043001
5. P. F.Cohadon, A.Heidmann, and M.Pinard, Phys. Rev. Lett., 1999, 83: 3174. doi: 10.1103/PhysRevLett.83.3174
6. A.Naik, O.Buu, M. D.LaHaye, A. D.Armour, A. A.Clerk, M. P.Blencowe, and K. C.Schwab, Nature, 2006, 443: 193. doi: 10.1038/nature05027
7. M. D.LaHaye, O.Buu, B.Camarota, and K. C.Schwab, Science, 2004, 304: 74. doi: 10.1126/science.1094419
8. P.Zhang, Y. D.Wang, and C. P.Sun, Phys. Rev. Lett., 2005, 95: 097204. doi: 10.1103/PhysRevLett.95.097204
9. C. H.Metzger and K.Karrai, Nature, 2004, 432: 1002. doi: 10.1038/nature03118
10. O.Arcizet, P.Cohadon, T.Briant, M.Pinard, and A.Heidmann, Nature, 2006, 444: 71. doi: 10.1038/nature05244
11. S.Gigan, H. R.Boehm, M.Paternostro, F.Blaser, G.Langer, J. B.Hertzberg, K. C.Schwab, D.Baeuerle, M.Aspelmeyer, and A.Zeilinger, Nature, 2006, 444: 67. doi: 10.1038/nature05273
12. D.Kleckner and D.Bouwmeester, Nature, 2006, 444: 75. doi: 10.1038/nature05231
13. M.Bhattacharya and P.Meystre, arXiv: quant-ph/0704.2425
14. F.Xue, Y. D.Wang, C. P.Sun, H.Okamoto, H.Yamaguchi, and K.Semba, New J. Phys., 2007, 9: 35. doi: 10.1088/1367‐2630/9/2/035
15. Y. D.Wang, K.Semba and H.Yamaguchi, arXiv: condmat/0704.2462
16. F.Xue, Y. D.Wang, Y.-X.Liu, and F.Nori, arXiv: quant-ph/0706.3100
17. N.Zhao, D. L.Zhou, J. L.Zhu, and C. P.Sun, arXiv:condmat. mes-hall/0705.1964
18. R.Kubo, M.Toda, and N.Hashitsume, Statistical PhysicsII, Berlin, Heidelberg: Springer, 1985