Entangling a nanomechanical resonator and a superconducting microwave cavity

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 4, 2007, Pages

  Vitali, D ^a   Tombesi, P ^a   Woolley, M J ^b   Doherty, A C ^b   Milburn, G J ^b  

^a UNIVERSITY OF CAMERINO   (Italy)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COPLANAR WAVEGUIDES; RESONATORS; SUPERCONDUCTING DEVICES;

MICROWAVE CAVITY; NANOMECHANICAL RESONATOR; STATIONARY ENTANGLEMENT;

NEMS;

EID: 35649003987     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.042336     Document Type: Article

References (24)

1. M. P. Blencowe, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.12.005 395, 159 (2004).
2. A. D. Armour, M. P. Blencowe, and K. C. Schwab, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.148301 88, 148301 (2002).
3. D. Vitali, S. Gigan, A. Ferreira, H. R. Böhm, P. Tombesi, A. Guerreiro, V. Vedral, A. Zeilinger, and M. Aspelmeyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.030405 98, 030405 (2007).
4. X. Zou and W. Mathis, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta. 2004.02.079 324, 484 (2004).
5. A. N. Cleland and M. R. Geller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.070501 93, 070501 (2004).
6. L. Tian and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.266403 93, 266403 (2004).
7. L. Tian, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.195411 72, 195411 (2005).
8. S. Pirandola, D. Vitali, P. Tombesi, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150403 97, 150403 (2006).
9. J. Eisert, M. B. Plenio, S. Bose, and J. Hartley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.190402 93, 190402 (2004).
10. A. K. Ringsmuth and G. J. Milburn, e-print arXiv:quant-ph/0703003v1.
11. L. Tian and R. W. Simmonds, e-print arXiv:cond-mat/0606787v1.
12. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R. S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004).
13. M. D. LaHaye, O. Buu, B. Camarota, and K. C. Schwab, Science SCIEAS 0036-8075 10.1126/science.1094419 304, 74 (2004).
14. V. Giovannetti and D. Vitali, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.023812 63, 023812 (2001).
15. R. Benguria and M. Kac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46.1 46, 1 (1981).
16. D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994).
17. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, Orlando, 1980), p. 1119.
18. P. C. Parks and V. Hahn, Stability Theory (Prentice-Hall, New York, 1993).
19. G. Vidal and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032314 65, 032314 (2002).
20. G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.022318 70, 022318 (2004).
21. The drawback of EN is that, differently from the entanglement of formation and the distillable entanglement, it is not strongly superadditive and therefore it cannot be used to provide lower-bound estimates of the entanglement of a generic state by evaluating the entanglement of the Gaussian state with the same correlation matrix [see M. M. Wolf, G. Giedke, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.080502 96, 080502 (2006)]. This fact, however, is not important in our case because the steady state of the system is Gaussian within the validity limit of our linearization procedure.
22. C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Berlin, 2000), p. 71.
23. M. S. Kim, W. Son, V. Buek, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032323 65, 032323 (2002).
24. R. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726 84, 2726 (2000).