Measuring the momentum of a nanomechanical oscillator through the use of two tunnel junctions

Physical Review Letters

Volumn 100, Issue 2, 2008, Pages

  Doiron, C B ^a   Trauzettel, B ^a,b   Bruder, C ^a  

^a UNIVERSITY OF BASEL   (Switzerland)

^b UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MOMENTUM; OSCILLATORS (ELECTRONIC); QUANTUM THEORY; TUNNEL JUNCTIONS;

FINITE-FREQUENCY NOISE; MOMENTUM SPECTRUM; NANOMECHANICAL OSCILLATOR;

NANOMECHANICS;

EID: 38349121350     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.027202     Document Type: Article

References (27)

1. R.G. Knobel and A.N. Cleland, Nature (London) NATUAS 0028-0836 424, 291 (2003). 10.1038/nature01773
2. M. LaHaye, O. Buu, B. Camarota, and K. Schwab, Science 304, 74 (2004). SCIEAS 0036-8075 10.1126/science.1094419
3. A. Naik, Nature (London) NATUAS 0028-0836 443, 193 (2006). 10.1038/nature05027
4. S.L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.513
5. L.-M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.2722
6. J. Eisert, M.B. Plenio, S. Bose, and J. Hartley, Phys. Rev. Lett. 93, 190402 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.190402
7. V.B. Braginsky, Y.I. Vorontsov, and K.S. Thorne, Science 209, 547 (1980); SCIEAS 0036-8075 10.1126/science.209.4456.547
8. C.M. Caves, Rev. Mod. Phys. 52, 341 (1980); RMPHAT 0034-6861 10.1103/RevModPhys.52.341
9. V.B. Braginsky and F.Y. Khalili, Phys. Lett. A 147, 251 (1990); PYLAAG 0375-9601 10.1016/0375-9601(90)90442-Q
10. V.B. Braginsky, M.L. Gorodetsky, F.Y. Khalili, and K.S. Thorne, Phys. Rev. D 61, 044002 (2000); PRVDAQ 0556-2821 10.1103/PhysRevD.61.044002
11. V.B. Braginsky, Phys. Rev. D 67, 082001 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.082001
12. A.D. Armour and M.P. Blencowe, Phys. Rev. B PRBMDO 0163-1829 64, 035311 (2001); 10.1103/PhysRevB.64.035311
13. F. Romeo, R. Citro, and M. Marinaro, Phys. Rev. B PRBMDO 0163-1829 76, 081301(R) (2007). 10.1103/PhysRevB.76.081301
14. M.F. Bocko, K.A. Stephenson, and R.H. Koch, Phys. Rev. Lett. 61, 726 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.726
15. B. Yurke and G.P. Kochanski, Phys. Rev. B PRBMDO 0163-1829 41, 8184 (1990). 10.1103/PhysRevB.41.8184
16. N.F. Schwabe, A.N. Cleland, M.C. Cross, and M.L. Roukes, Phys. Rev. B PRBMDO 0163-1829 52, 12911 (1995). 10.1103/PhysRevB.52.12911
17. D. Mozyrsky and I. Martin, Phys. Rev. Lett. 89, 018301 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.018301
18. A.A. Clerk and S.M. Girvin, Phys. Rev. B PRBMDO 0163-1829 70, 121303(R) (2004). 10.1103/PhysRevB.70.121303
19. A.A. Clerk, Phys. Rev. B PRBMDO 0163-1829 70, 245306 (2004). 10.1103/PhysRevB.70.245306
20. J. Wabnig, D.V. Khomitsky, J. Rammer, and A.L. Shelankov, Phys. Rev. B PRBMDO 0163-1829 72, 165347 (2005); 10.1103/PhysRevB.72.165347
21. J. Wabnig, J. Rammer, and A.L. Shelankov, Phys. Rev. B PRBMDO 0163-1829 75, 205319 (2007). 10.1103/PhysRevB.75.205319
22. A.N. Cleland, J.S. Aldridge, D.C. Driscoll, and A.C. Gossard, Appl. Phys. Lett. 81, 1699 (2002). APPLAB 0003-6951 10.1063/1.1497436
23. N.E. Flowers-Jacobs, D.R. Schmidt, and K.W. Lehnert, Phys. Rev. Lett. 98, 096804 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.096804
24. K.L. Ekinci and M.L. Roukes, Rev. Sci. Instrum. RSINAK 0034-6748 76, 061101 (2005). 10.1063/1.1927327
25. C.B. Doiron, B. Trauzettel, and C. Bruder, Phys. Rev. B PRBMDO 0163-1829 76, 195312 (2007). 10.1103/PhysRevB.76.195312
26. Y. Ji, Nature (London) NATUAS 0028-0836 422, 415 (2003). 10.1038/nature01503
27. We assume that the size of the AB detector is smaller than the phase coherence length (which can be several microns in metallic thin films at low temperatures) and that it is large enough such that we do not have to take into account the change of the area of the AB loop due to the fluctuating position of the oscillator. Furthermore, the setup is designed such that the electrons cannot make round-trips in the AB loop but leave the ring instead after going through either the upper or the lower arm. This explains why (in general) |T(x,Φ)|2 |T(x,-Φ)|2 [see M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986)]. PRLTAO 0031-9007 10.1103/PhysRevLett.57.1761