The optomechanical instability in the quantum regime

New Journal of Physics

Volumn 10, Issue , 2008, Pages

  Ludwig, Max ^a   Kubala, Björn ^a   Marquardt, Florian ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL THEORY; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS;

CLASSICAL PREDICTIONS; CLASSICAL THEORIES; CLASSICAL TRANSITIONS; CONTROL PARAMETERS; COUPLED SYSTEMS; MECHANICAL ENERGIES; MOVABLE MIRRORS; OPTICAL CAVITIES; OPTOMECHANICAL SYSTEMS; PHOTON NUMBERS; QUANTUM MASTER EQUATIONS; QUANTUM MECHANICAL MODELS; QUANTUM PARAMETERS; QUANTUM REGIMES; SUSTAINED OSCILLATIONS;

SYSTEM STABILITY;

EID: 54249124185     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/10/9/095013     Document Type: Article

References (42)

1. Braginsky V B and Manukin A B 1967 Ponderomotive effects of electromagnetic radiation Sov. Phys. - JETP 25653
2. Braginsky V B, Manukin A B and Tikhonov M Yu 1970 Investigation of dissipative ponderomotove effects of electromagnetic radiation Sov. Phys. - JETP 31 829
3. Dorsel A, McCullen J D, Meystre P, Vignes E and Walther H 1983 Optical testability and mirror confinement induced by radiation pressure Phys. Rev. Lett. 511550
4. Cohadon P F, Heidmann A and Pinard M 1999 Cooling of a mirror by radiation pressure Phys. Rev. Lett. 833174
5. Höhberger-Metzger C and Karrai K 2004 Cavity cooling of a microlever Nature 432 1002
6. Arcizet O, Cohadon P F, Briant T, Pinard M and Heidmann A 2006 Radiation-pressure cooling and optomechanical instability of a micro-mirror Nature 444 71
7. Gigan S et al 2006 Self-cooling of a micromirror by radiation pressure Nature 444 67
8. Schliesser A, Del'Haye P, Nooshi N, Vahala K J and Kippenberg T J 2006 Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action Phys. Rev. Lett. 97 243905
9. Kleckner D and Bouwmeester D 2006 Sub-kelvin optical cooling of a micromechanical resonator Nature 44475
10. Corbitt T et al 2007 Toward achieving the quantum ground state of a gram-scale mirror oscillator Phys. Rev. Lett. 98 150802
11. Thompson J D, Zwickl B M, Jayich A M, Marquardt F, Girvin S M and Harris J G E 2008 Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane Nature 452 900
12. Marquardt F, Chen J P, Clerk A A and Girvin S M 2007 Quantum theory of cavity-assisted sideband cooling of mechanical motion Phys. Rev. Lett. 99 093902
13. Wilson-Rae I, Nooshi N, Zwerger W and Kippenberg T J 2007 Theory of ground state cooling of a mechanical oscillator using dynamical back-action Phys. Rev. Lett. 99 093901
14. Aguirregabiria J M and Bel L 1987 Delay-induced instability in a pendular Fabry-Perot cavity Phys. Rev. A 363768
15. Fabre C, Pinard M, Bourzeix S, Heidmann A, Giacobino E and Reynaud S 1994 Quantum-noise reduction using a cavity with a movable mirror Phys. Rev. A 49 1337
16. Braginsky V B, Strigin S E and Vyatchanin S P 2001 Parametric oscillatory instability in Fabry-Perot interferometer Phys. Lett. A 287 331
17. Marquardt F, Harris J G E and Girvin S M 2006 Dynamical multistability induced by radiation pressure in high-finesse micromechanical optical cavities Phys. Rev. Lett. 96 103901
18. Höhberger C and Karrai K 2004 Self-oscillation of micromechanical resonators Nanotechnology 2004: Proc. 4th IEEE Conf. on Nanotechnology p 419
19. Carmon T, Rokhsari H, Yang L, Kippenberg T J and Vahala K J 2005 Temporal behavior of radiation-pressure-induced vibrations of an optical microcavity phonon mode Phys. Rev. Lett. 94 223902
20. Kippenberg T J, Rokhsari H, Carmon T, Scherer A and Vahala K J 2005 Analysis of radiation-pressure-induced mechanical oscillation of an optical microcavity Phys. Rev. Lett. 95 033901
21. Ludwig M, Neuenhahn C, Metzger C, Ortlieb A, Favero I, Karrai K and Marquardt F 2008 Self-induced oscillations in an optomechanical system Phys. Rev. Lett. at press (arXiv:0711.2661)
22. Brown K R, Britton J, Epstein R J, Chiaverini J, Leibfried D and Wineland D J 2007 Passive cooling of a micromechanical oscillator with a resonant electric circuit Phys. Rev. Lett. 99 137205
23. Blanter Ya M, Usmani O and Nazarov Yu V 2004 Single-electron tunneling with strong mechanical feedback Phys. Rev. Lett. 93136802
24. Clerk A A and Bennett S 2005 Quantum nanoelectromechanics with electrons, quasi-particles and Cooper pairs: effective bath descriptions and strong feedback effects New J. Phys. 7 238
25. Blencowe M P, Imbers J and Armour A D 2005 Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor New J. Phys. 7236
26. Naik A et al 2006 Cooling a nanomechanical resonator with quantum back-action Nature 443 193
27. Bennett S D and Clerk A A 2006 Laser-like instabilities in quantum nano-electromechanical systems Phys. Rev. B 74 201301
28. Rodrigues D A, Imbers J and Armour A D 2007 Quantum dynamics of a resonator driven by a super-conducting single-electron transistor: a solid-state analogue of the micromaser Phys. Rev. Lett. 98 067204
29. Rodrigues D A, Imbers J, Harvey T J and Armour A D 2007 Dynamical instabilities of a resonator driven by a superconducting single-electron transistor New J. Phys. 9 84
30. Regal C A, Teufel J D and Lehnen K W 2008 Measuring nanoniechanical motion with a microwave cavity interferometer Nat. Phys. 4555 60
31. Meiser D and Meystre P 2006 Coupled dynamics of atoms and radiation-pressure-driven interferometers Phys. Rev. A 73 03 3417
32. Murch K W, Moore K L, Gupta S and Stamper-Kurn D M 2008 Observation of quantum-measurement backaction with an ultracold atomic gas Nat. Phys. 4 561 4
33. Brennecke F, Ritter S, Donner T and Esslinger T 2008 Cavity opto-mechanics with a Bose-Einstein condensate arXiv:0807.2347
34. Bose S, Jacobs K and Knight P L 1999 Scheme to probe the decoherence of a macroscopic object Phys. Rev. A 59 3204
35. Marshall W, Simon C, Penrose R and Bouwmeester D 2003 Towards quantum superpositions of a mirror Phys. Rev. Lett. 91 130401
36. Pinard M, Dantan A, Vitali D, Arcizet O, Briant T and Heidmann A 2005 Entangling movable mirrors in a double-cavity system Europhys. Lett. 72 747
37. Buks E, Segev E, Zaitsev S, Abdo B and Blencowe M P 2008 Quantum nondemolition measurement of discrete fock states of a nanoniechanical resonator Europhys. Lett. 81 10001
38. Kippenberg T J and Vahala K J 2007 Cavity opto-mechanics Opt. Express 15 17172
39. Marquardt F, Clerk A A and Girvin S M 2008 Quantum theory of optomechanical cooling J. Mod. Opt. at press(arXiv:0803.1164)
40. Usmani O, Blanter Ya M and Nazarov Yu V 2007 Strong feedback and current noise in nanoelectromechanical systems Phys. Rev. B 75 195312
41. Schliesser A, Riviere R, Anetsberger G, Arcizet O and Kippenberg T J 2008 Resolved-sideband cooling of a micromechanical oscillator Nat. Phys. 4415 9
42. Merlo M, Haupt F, Cavaliere F and Sassetti M 2008 Sub-poissonian phononic population in a nano-electromechanical system New J. Phys. 10 023008