Cooling of mechanical motion with a two-level system: The high-temperature regime

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 16, 2010, Pages

  Rabl, P ^a  

^a HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78149306040     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.165320     Document Type: Article

References (51)

1. A. D. Armour, M. P. Blencowe, and K. C. Schwab, Phys. Rev. Lett. 88, 148301 (2002). 10.1103/PhysRevLett.88.148301
2. W. Marshall, C. Simon, R. Penrose, and D. Bouwmeester, Phys. Rev. Lett. 91, 130401 (2003). 10.1103/PhysRevLett.91.130401
3. D. Vitali, S. Gigan, A. Ferreira, H. R. Böhm, P. Tombesi, A. Guerreiro, V. Vedral, A. Zeilinger, and M. Aspelmeyer, Phys. Rev. Lett. 98, 030405 (2007). 10.1103/PhysRevLett.98.030405 (Pubitemid 46154916)
4. A. N. Cleland and M. R. Geller, Phys. Rev. Lett. 93, 070501 (2004). 10.1103/PhysRevLett.93.070501
5. J. Eisert, M. B. Plenio, S. Bose, and J. Hartley, Phys. Rev. Lett. 93, 190402 (2004). 10.1103/PhysRevLett.93.190402
6. P. Rabl, S. J. Kolkowitz, F. H. Koppens, J. G. E. Harris, P. Zoller, and M. D. Lukin, Nat. Phys. 6, 602 (2010). 10.1038/nphys1679
7. H. J. Mamin and D. Rugar, Appl. Phys. Lett. 79, 3358 (2001). 10.1063/1.1418256
8. H. J. Mamin, M. Poggio, C. L. Degen, and D. Rugar, Nat. Nanotechnol. 2, 301 (2007). 10.1038/nnano.2007.105 (Pubitemid 46882967)
9. K. Jensen, K. Kim, and A. Zettl, Nat. Nanotechnol. 3, 533 (2008). 10.1038/nnano.2008.200
10. A. D. O'Connell, M. Hofheinz, M. Ansmann, R. C. Bialczak, M. Lenander, E. Lucero, M. Neeley, D. Sank, H. Wang, M. Weides, J. Wenner, J. M. Martinis, and A. N. Cleland, Nature (London) 464, 697 (2010). 10.1038/nature08967
11. T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008). 10.1126/science.1156032
12. F. Marquardt and S. M. Girvin, Phys. 2, 40 (2009). 10.1103/Physics.2.40
13. F. Marquardt, J. P. Chen, A. A. Clerk, and S. M. Girvin, Phys. Rev. Lett. 99, 093902 (2007). 10.1103/PhysRevLett.99.093902 (Pubitemid 47331118)
14. I. Wilson-Rae, N. Nooshi, W. Zwerger, and T. J. Kippenberg, Phys. Rev. Lett. 99, 093901 (2007). 10.1103/PhysRevLett.99.093901 (Pubitemid 47331119)
15. C. Genes, D. Vitali, P. Tombesi, S. Gigan, and M. Aspelmeyer, Phys. Rev. A 77, 033804 (2008). 10.1103/PhysRevA.77.033804 (Pubitemid 351393428)
16. Y. Li, Y.-D. Wang, F. Xue, and C. Bruder, Phys. Rev. B 78, 134301 (2008). 10.1103/PhysRevB.78.134301
17. I. Wilson-Rae, N. Nooshi, J. Dobrindt, T. J. Kippenberg, and W. Zwerger, New J. Phys. 10, 095007 (2008). 10.1088/1367-2630/10/9/095007
18. S. Gröblacher, J. B. Hertzberg, M. R. Vanner, G. D. Cole, S. Gigan, K. C. Schwab, and M. Aspelmeyer, Nat. Phys. 5, 485 (2009). 10.1038/nphys1301
19. O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, Nature (London) 444, 71 (2006). 10.1038/nature05244 (Pubitemid 44684756)
20. D. Kleckner and D. Bouwmeester, Nature (London) 444, 75 (2006). 10.1038/nature05231 (Pubitemid 44684757)
21. T. Corbitt, Y. Chen, E. Innerhofer, H. Müller-Ebhardt, D. Ottaway, H. Rehbein, D. Sigg, S. Whitcomb, C. Wipf, and N. Mavalvala, Phys. Rev. Lett. 98, 150802 (2007). 10.1103/PhysRevLett.98.150802 (Pubitemid 46589316)
22. A. Schliesser, O. Arcizet, R. Rivire, G. Anetsberger, and T. J. Kippenberg, Nat. Phys. 5, 509 (2009). 10.1038/nphys1304
23. J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature (London) 452, 72 (2008). 10.1038/nature06715 (Pubitemid 351355099)
24. D. J. Wilson, C. A. Regal, S. B. Papp, and H. J. Kimble, Phys. Rev. Lett. 103, 207204 (2009). 10.1103/PhysRevLett.103.207204
25. J. D. Teufel, C. A. Regal, and K. W. Lehnert, New J. Phys. 10, 095002 (2008). 10.1088/1367-2630/10/9/095002
26. T. Rocheleau, T. Ndukum, C. Macklin, J. B. Hertzberg, A. A. Clerk, and K. C. Schwab, Nature (London) 463, 72 (2010). 10.1038/nature08681
27. I. Wilson-Rae, P. Zoller, and A. Imamoglu, Phys. Rev. Lett. 92, 075507 (2004). 10.1103/PhysRevLett.92.075507
28. S. Zippilli, G. Morigi, and A. Bachtold, Phys. Rev. Lett. 102, 096804 (2009). 10.1103/PhysRevLett.102.096804
29. I. Martin, A. Shnirman, L. Tian, and P. Zoller, Phys. Rev. B 69, 125339 (2004). 10.1103/PhysRevB.69.125339
30. P. Zhang, Y. D. Wang, and C. P. Sun, Phys. Rev. Lett. 95, 097204 (2005). 10.1103/PhysRevLett.95.097204 (Pubitemid 41505897)
31. F. Xue, Y. D. Wang, C. P. Sun, H. Okamoto, H. Yamaguchi, and K. Semba, New J. Phys. 9, 35 (2007). 10.1088/1367-2630/9/2/035
32. Y. D. Wang, K. Semba, and H. Yamaguchi, New J. Phys. 10, 043015 (2008). 10.1088/1367-2630/10/4/043015
33. K. Jaehne, K. Hammerer, and M. Wallquist, New J. Phys. 10, 095019 (2008). 10.1088/1367-2630/10/9/095019
34. Y.-D. Wang, Y. Li, F. Xue, C. Bruder, and K. Semba, Phys. Rev. B 80, 144508 (2009). 10.1103/PhysRevB.80.144508
35. P. Rabl, P. Cappellaro, M. V. Gurudev Dutt, L. Jiang, J. R. Maze, and M. D. Lukin, Phys. Rev. B 79, 041302 (R) (2009). 10.1103/PhysRevB.79.041302
36. S. Stenholm, Rev. Mod. Phys. 58, 699 (1986). 10.1103/RevModPhys.58.699
37. J. I. Cirac, R. Blatt, P. Zoller, and W. D. Phillips, Phys. Rev. A 46, 2668 (1992). 10.1103/PhysRevA.46.2668
38. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003). 10.1103/RevModPhys.75.281 (Pubitemid 36539842)
39. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
40. M. Wallquist, P. Rabl, M. D. Lukin, and P. Zoller, New J. Phys. 10, 063005 (2008). 10.1088/1367-2630/10/6/063005
41. M. Grajcar, S. Ashhab, J. R. Johansson, and F. Nori, Phys. Rev. B 78, 035406 (2008). 10.1103/PhysRevB.78.035406
42. TLS + 1).
43. S. Stenholm and W. E. Lamb, Jr., Phys. Rev. 181, 618 (1969). 10.1103/PhysRev.181.618
44. G. Minogin and O. T. Serimaa, Opt. Commun. 30, 373 (1979). 10.1016/0030-4018(79)90374-2
45. M. D. Crisp, Phys. Rev. A 46, 4138 (1992). 10.1103/PhysRevA.46.4138
46. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Butterworth-Heinemann, Oxford, 1986).
47. I. Wilson-Rae, Ph.D. thesis, University of California, 2003.
48. Note that for an exactly harmonic spectrum ω r k ∼ k, all mode frequencies are multiples of ω k 0 and can be resonantly affected by higher order processes in the TLS-resonator coupling. These effects are not included in the simple estimate given in Eq. and for a more detailed discussion the reader is referred to Ref..
49. L. G. Remus, M. P. Blencowe, and Y. Tanaka, Phys. Rev. B 80, 174103 (2009). 10.1103/PhysRevB.80.174103
50. S. D. Bennett, L. Cockins, Y. Miyahara, P. Grütter, and A. A. Clerk, Phys. Rev. Lett. 104, 017203 (2010). 10.1103/PhysRevLett.104.017203
51. J. Hauss, A. Fedorov, C. Hutter, A. Shnirman, and G. Schön, Phys. Rev. Lett. 100, 037003 (2008). 10.1103/PhysRevLett.100.037003 (Pubitemid 351161801)