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Sub-kelvin optical cooling of a micromechanical resonator

Nature volume 444, pages 75–78 (2006)Cite this article

Abstract

Micromechanical resonators, when cooled down to near their ground state, can be used to explore quantum effects such as superposition and entanglement at a macroscopic scale1,2,3. Previously, it has been proposed to use electronic feedback to cool a high frequency (10 MHz) resonator to near its ground state4. In other work, a low frequency resonator was cooled from room temperature to 18 K by passive optical feedback5. Additionally, active optical feedback of atomic force microscope cantilevers has been used to modify their response characteristics6, and cooling to approximately 2 K has been measured7. Here we demonstrate active optical feedback cooling to 135 ± 15 mK of a micromechanical resonator integrated with a high-quality optical resonator. Additionally, we show that the scheme should be applicable at cryogenic base temperatures, allowing cooling to near the ground state that is required for quantum experiments—near 100 nK for a kHz oscillator.

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Figure 1: The experimental system.
Figure 2: Single-sided thermal vibration spectrum of the cantilever as it is cooled.
Figure 3: Temporal response of the cantilever to cooling pulses.
Figure 4: Response of the cantilever to an external intensity-modulated laser.

References

  1. Bose, S., Jacobs, K. & Knight, P. L. Scheme to probe the decoherence of a macroscopic object. Phys. Rev. A 59, 3204–3210 (1999)

    Article  ADS  CAS  Google Scholar 

  2. Mancini, S., Vitali, D., Giovannetti, V. & Tombesi, P. Stationary entanglement between macroscopic mechanical oscillators. Eur. Phys. J. D 22, 417–422 (2003)

    Article  ADS  CAS  Google Scholar 

  3. Marshall, W., Simon, C., Penrose, R. & Bouwmeester, D. Towards quantum superpositions of a mirror. Phys. Rev. Lett. 91, 130401 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  4. Hopkins, A., Jacobs, K., Habib, S. & Schwab, K. Feedback cooling of a nanomechanical resonator. Phys. Rev. B 68, 235238 (2003)

    Article  ADS  Google Scholar 

  5. Metzger, C. H. & Karrai, K. Cavity cooling of a microlever. Nature 432, 1002–1005 (2004)

    Article  ADS  CAS  Google Scholar 

  6. Mertz, J., Marti, O. & Mlynek, K. Regulation of a microcantilever response by force feedback. Appl. Phys. Lett. 62, 2344–2346 (1993)

    Article  ADS  Google Scholar 

  7. Bruland, K. J., Garbini, J. L., Dougherty, W. M. & Sidles, J. A. Optimal control of force microscope cantilevers. II. Magnetic coupling implementation. J. Appl. Phys. 80, 1959–1964 (1996)

    Article  ADS  CAS  Google Scholar 

  8. Kleckner, D. et al. High finesse opto-mechanical cavity with a movable thirty-micron-size mirror. Phys. Rev. Lett. 96, 173901 (2006)

    Article  ADS  Google Scholar 

  9. Cohadon, P. F., Heidmann, A. & Pinard, M. Cooling of a mirror by radiation pressure. Phys. Rev. Lett. 83, 3174–3177 (1999)

    Article  ADS  CAS  Google Scholar 

  10. Turner, L. D., Weber, W. P., Hawthorn, C. J. & Scholten, R. E. Frequency noise characterisation of narrow linewidth diode lasers. Opt. Commun. 201, 391–397 (2002)

    Article  ADS  CAS  Google Scholar 

  11. Vitali, B. D., Mancini, S., Ribichini, L. & Tombesi, P. Mirror quiescence and high-sensitivity position measurements with feedback. Phys. Rev. A 65, 063803 (2002)

    Article  ADS  Google Scholar 

  12. Joos, E. et al. Decoherence and the Appearance of a Classical World in Quantum Theory 2nd edn (Springer, New York, 2003)

  13. Zurek, W. H. Decoherence and the transition from quantum to classical. Phys. Today 44, 36–44 (1991)

    Article  Google Scholar 

  14. Parpia, J. M. et al. Optimization procedure for the cooling of liquid 3He by adiabatic demagnetization of praseodymium nickel. Rev. Sci. Instrum. 56, 437–443 (1985)

    Article  ADS  CAS  Google Scholar 

  15. Moussy, N., Courtois, A. & Pannetier, B. A very low temperature scanning tunnelling microscope for the local spectroscopy of mesoscopic structures. Rev. Sci. Instrum. 71, 128–131 (2001)

    Article  ADS  Google Scholar 

  16. Mamin, H. J. & Rugar, D. Sub-attonewton force detection at millikelvin temperatures. Appl. Phys. Lett. 79, 3358–3360 (2001)

    Article  ADS  CAS  Google Scholar 

  17. Courty, J. M., Heidman, A. & Pinard, M. Quantum limits of cold damping with optomechanical coupling. Eur. Phys. J. D 17, 399–408 (2001)

    Article  ADS  CAS  Google Scholar 

  18. Schwab, K., Henriksen, E. A., Worlock, J. M. & Roukes, M. L. Measurement of the quantum of thermal conductance. Nature 404, 974–977 (2000)

    Article  ADS  CAS  Google Scholar 

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Acknowledgements

This work was supported by the National Science Foundation. We thank M. de Dood, H. Eisenberg, S. Hastings, W. Irvine, A. Kahl, G. Khoury, W. Marshall and C. Simon for their contributions at earlier stages of this work.

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  1. Department of Physics, University of California, Santa Barbara, California, 93106, USA

    Dustin Kleckner & Dirk Bouwmeester

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  1. Dustin Kleckner
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Correspondence to Dustin Kleckner.

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Kleckner, D., Bouwmeester, D. Sub-kelvin optical cooling of a micromechanical resonator. Nature 444, 75–78 (2006). https://doi.org/10.1038/nature05231

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