Classical and quantum theory of photothermal cavity cooling of a mechanical oscillator

Comptes Rendus Physique

Volumn 12, Issue 9-10, 2011, Pages 860-870

  Restrepo, Juan ^a   Gabelli, Julien ^b   Ciuti, Cristiano ^a   Favero, Ivan ^a  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

Mechanical oscillator; Optical cooling; Optomechanics; Photothermal; Quantum ground state; Quantum limit

Indexed keywords

EID: 82955236251     PISSN: 16310705     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crhy.2011.02.005     Document Type: Article

References (28)

1. Favero I., Karrai K. Optomechanics of deformable optical cavities. Nature Photon. 2009, 3:201.
2. Marquardt F., Girvin S. Optomechanics. Physics 2009, 2:40.
3. Aspelmeyer M., Gröblacher S., Hammerer K., Kiesel N. Quantum optomechanics-throwing a glance. J. Opt. Soc. Am. B 2010, 27:189.
4. O'Connell A.D., et al. Quantum ground state and single-phonon control of a mechanical resonator. Nature 2010, 464:697-703.
5. Thompson J.D., et al. Strong dispersive coupling of a high finesse cavity to a micromechanical membrane. Nature 2008, 452:06715.
6. Park Y., Wan H. Resolved-sideband and cryogenic cooling of an optomechanical resonator. Nature Phys. 2009, 5:489-493.
7. Gröblacher S., et al. Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity. Nature Phys. 2009, 5:485-488.
8. Schliesser A., et al. Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the Heisenberg uncertainty limit. Nature Phys. 2009, 5:509-514.
9. Rocheleau T., Ndukum T., Macklin C., Hertzberg J.B., Clerk A.A., Schwab K. Preparation and detection of a mechanical resonator near the ground state of motion. Nature 2010, 463:72.
10. Marquardt F., Chen J.P., Clerk A., Girvin S.M. Quantum theory of cavity-assisted sideband cooling of mechanical motion. Phys. Rev. Lett. 2007, 99:093902.
11. Wilson-Rae I., Nooshi N., Zwerger W., Kippenberg T.J. Theory of ground state cooling of a mechanical oscillator using dynamical backaction. Phys. Rev. Lett. 2007, 99:093901.
12. Genes C., Vitali D., Tombesi P., Gigan S., Aspelmeyer M. Ground-state cooling of a micromechanical oscillator: Comparing cold damping and cavity-assisted cooling schemes. Phys. Rev. A 2008, 77:033804.
13. Dantan A., Genes C., Vitali D., Pinard M. Self-cooling of a movable mirror to the ground state using radiation pressure. Phys. Rev. A 2008, 77:011804.
14. Höhberger Metzger C., Karrai K. Cavity cooling of a microlever. Nature 2004, 432:1002.
15. Karrai K., Favero I., Metzger C. Doppler optomechanics of a photonic crystal. Phys. Rev. Lett. 2008, 100:240801.
16. Metzger C., Favero I., Ortlieb A., Karrai K. Optical self-cooling of a deformable Fabry-Perot cavity in the classical limit. Phys. Rev. B 2008, 78:035309.
17. Jourdan G., Comin F., Chevrier J. Mechanical mode dependence of bolometric backaction in an atomic force microscopy microlever. Phys. Rev. Lett. 2008, 101:133904.
18. Metzger C., Ludwig M., Neuenhahn C., Ortlieb A., Favero I., Karrai K., Marquardt F. Self-induced oscillations in an optomechanical system driven by bolometric backaction. Phys. Rev. Lett. 2008, 101:133903.
19. Favero I., et al. Optical cooling of a micromirror of wavelength size. Appl. Phys. Lett. 2007, 90:104101.
20. Harris J.G.E., Zwickl B.M., Jayich A.M. Stable, mode-matched, medium-finesse optical cavity incorporating a microcantilever mirror: Optical characterization and laser cooling. Rev. Sci. Instrum. 2007, 78:013107.
21. Pinard M., Dantan A. Quantum limits of photothermal and radiation pressure cooling of a movable mirror. New J. Phys. 2008, 10:095012.
22. Law C.K. Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation. Phys. Rev. A 1995, 51:2537.
23. Cohen-Tannoudji C., Dupont-Roc J., Grynberg G. Processus d'interaction entre photons et atomes 1988, p. 327. CNRS Editions.
24. Braginsky V.B., Gorodestky M.L., Vyatchanin S.P. Thermodynamical fluctuations and photo-thermal shot-noise in gravitational wave antennae. Phys. Lett. A 1999, 264:1.
25. Cerdonio M., Conti L., Heidmann A., Pinard M. Thermoelastic effects at low temperatures and quantum limits in displacements measurements. Phys. Rev. D 2001, 63:082003.
26. Clerk A.A., Devoret M.H., Girvin S.M., Marquardt F., Schoelkopf R.J. Introduction to quantum noise, measurement and amplification. Rev. Mod. Phys. 2010, 82:1155.
27. Gavish U., Imry Y., Levinson Y. Quantum noise, detailed balance and Kubo formula in non-equilibrium quantum systems arxiv:cond-mat/0211681.
28. S. De Liberato, N. Lambert, F. Nori, Quantum limit of photothermal cooling, , Phys. Rev. A (2011), in press. arxiv:1011.6295v2.