Full counting statistics and conditional evolution in a nanoelectromechanical system

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 16, 2008, Pages

  Bennett, S D ^a   Clerk, A A ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 55849117715     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.165328     Document Type: Article

References (24)

1. N. E. Flowers-Jacobs, D. R. Schmidt, and K. W. Lehnert, Phys. Rev. Lett. 10.1103/PhysRevLett.98.096804 98, 096804 (2007).
2. M. Poggio, M. P. Jura, C. L. Degen, M. A. Topinka, H. J. Mamin, D. Goldhaber-Gordon, and D. Rugar, Nat. Phys. 4, 635 (2008).
3. R. G. Knobel and A. N. Cleland, Nature (London) 10.1038/nature01773 424, 291 (2003).
4. A. Naik, O. Buu, M. D. LaHaye, A. D. Armour, A. A. Clerk, M. P. Blencowe, and K. C. Schwab, Nature (London) 10.1038/nature05027 443, 193 (2006).
5. A. D. Armour, Phys. Rev. B 10.1103/PhysRevB.70.165315 70, 165315 (2004).
6. Y. Zhang and M. P. Blencowe, J. Appl. Phys. 10.1063/1.1453494 91, 4249 (2002).
7. O. Usmani, Y. M. Blanter, and Y. V. Nazarov, Phys. Rev. B 10.1103/PhysRevB.75.195312 75, 195312 (2007).
8. A. A. Clerk and S. M. Girvin, Phys. Rev. B 10.1103/PhysRevB.70.121303 70, 121303 (R) (2004).
9. D. Mozyrsky and I. Martin, Phys. Rev. Lett. 10.1103/PhysRevLett.89.018301 89, 018301 (2002).
10. C. B. Doiron, B. Trauzettel, and C. Bruder, Phys. Rev. Lett. 10.1103/PhysRevLett.100.027202 100, 027202 (2008).
11. J. Wabnig, D. V. Khomitsky, J. Rammer, and A. L. Shelankov, Phys. Rev. B 10.1103/PhysRevB.72.165347 72, 165347 (2005).
12. L. S. Levitov and M. Reznikov, Phys. Rev. B 10.1103/PhysRevB.70.115305 70, 115305 (2004).
13. Y. Bomze, G. Gershon, D. Shovkun, L. S. Levitov, and M. Reznikov, Phys. Rev. Lett. 10.1103/PhysRevLett.95.176601 95, 176601 (2005)
14. B. Reulet, J. Senzier, and D. E. Prober, Phys. Rev. Lett. 10.1103/PhysRevLett.91.196601 91, 196601 (2003).
15. F. Pistolesi, Phys. Rev. B 10.1103/PhysRevB.69.245409 69, 245409 (2004).
16. T. N. C. Flindt and A.-P. Jauho, Europhys. Lett. 10.1209/epl/i2004-10351- x 69, 475 (2005).
17. R. Ruskov, K. Schwab, and A. N. Korotkov, Phys. Rev. B 10.1103/PhysRevB.71.235407 71, 235407 (2005).
18. A. Hopkins, K. Jacobs, S. Habib, and K. Schwab, Phys. Rev. B 10.1103/PhysRevB.68.235328 68, 235328 (2003).
19. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 10.1016/0003-4916(83) 90202-6 149, 374 (1983).
20. This limit is in no way required but yields simple expressions for the back-action damping and temperature.
21. Including the quadratic x dependence in the amplitude leads to a renormalization of λ as well as two-phonon absorption or emission during a tunneling event; both are unimportant in the limit of weak coupling.
22. The nth cumulant relative to the width is ≪mn≫/(Δm)n, which vanishes for long times. This satisfies the central limit theorem.
23. D. K. C. MacDonald, Rep. Prog. Phys. 10.1088/0034-4885/12/1/304 12, 56 (1949).
24. Y. M. Blanter and M. Büttiker, Phys. Rep. 10.1016/S0370-1573(99) 00123-4 336, 1 (2000).