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The European Physical Journal B

, Volume 63, Issue 1, pp 79–83 | Cite as

Nanomechanical resonator coupling with a double quantum dot: quantum state engineering

Mesoscopic and Nanoscale Systems

Abstract.

We propose a theoretical scheme to realize quantum state engineering of a nanomechanical resonator (NAMR) through the coupling between the NAMR and a double quantum dot (DQD). Hybrid entangled states between the NAMR and the DQD and superposed coherent states of the NAMR are created explicitly. It is shown that quantum state tomography for the NAMR can be implemented through carrying out unitary operations on the NAMR and the DQD. It is indicated that the scheme is feasible at the reach of the present technology.

PACS.

42.50.Dv Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements 85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices 73.21.La Quantum dots 

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References

  1. S.M. Carr, W.E. Lawrence, M.N. Wybourne, Phys. Rev. B 68, 155311 (2003) CrossRefMathSciNetGoogle Scholar
  2. J. Siewert, T. Brandes, G. Falci, arXiv:cond-mat/0509735 Google Scholar
  3. P. Rabl, A. Shnirman, P. Zoller, Phys. Rev. B 70, 205304 (2004); R. Ruskov, K. Schwab, A.N. Korotkov, arXiv:cond-mat/0406416 CrossRefADSGoogle Scholar
  4. A.D. Armour, M.P. Blencowe, K.C. Schwab, Phys. Rev. Lett. 88, 148301 (2002); L. Tian, Phys. Rev. B 72, 195411 (2005) CrossRefADSGoogle Scholar
  5. J. Eisert, M.B. Plenio, S. Bose, J. Hartley, Phys. Rev. Lett. 93, 190402 (2004); S. Bose, G.S. Agarwal, New J. Phys. 8, 34 (2006) CrossRefADSGoogle Scholar
  6. R.G. Knobel, A.N. Cleland, Nature (London) 424, 291 (2003); M.D. LaHaye, O. Buu, B. Camarota, K.C. Schwab, Science 304, 74 (2004) CrossRefADSGoogle Scholar
  7. X.M.H. Huang, C.A. Zorman, M. Mehregany, M.L. Roukes, Nature (London) 421, 496 (2003) CrossRefADSGoogle Scholar
  8. A.N. Cleland, M.R. Geller, Phys. Rev. Lett. 93, 070501 (2004); A. Gaidarzhy, G. Zolfagharkhani, R.L. Badzey, P. Mohanty, Phys. Rev. Lett. 94, 030402 (2005) CrossRefADSGoogle Scholar
  9. M.P. Blencowe, M.N. Wybourne, Appl. Phys. Lett. 77, 3845 (2000); Y. Zhang, M.P. Blencowe, arXiv:cond-mat/0109412 CrossRefADSGoogle Scholar
  10. A.N. Cleland, M.L. Roukes, Nature (London) 392, 160 (1998); A. Erbe, C. Weiss, W. Zwerger, R.H. Blick, Phys. Rev. Lett. 87, 096106 (2001) CrossRefADSGoogle Scholar
  11. K. Wang, A.C. Wong, C.T.C. Nguyen, J. Microelectromech. Syst. 9, 347 (2000) CrossRefGoogle Scholar
  12. M.P. Blencowe, Phys. Rep. 395, 159 (2004) CrossRefADSGoogle Scholar
  13. E. Buks, M.P. Blencowe, Phys. Rev. B 74, 174504 (2006); F. Xue, Yu-xi Liu, C.P. Sun, F. Nori, arXiv:quant-ph/0701209 CrossRefADSGoogle Scholar
  14. A.D. Armour, M.P. Blencowe, K.C. Schwab, Phys. Rev. Lett. 88, 148301 (2002); X.X. Zhou, A. Mizel, Phys. Rev. Lett. 97, 267201 (2006) CrossRefADSGoogle Scholar
  15. E.K. Irish, K. Schwab, Phys. Rev. B 68, 155311 (2003); D.H. Santamore, A.C. Doherty, M.C. Cross, Phys. Rev. B 70, 144301 (2004); D.H. Santamore, H.S Goan, G.J. Milburn, M.L. Roukes, Phys. Rev. A 70, 052105 (2004) CrossRefADSGoogle Scholar
  16. S. Savel'ev, X. Hu, A. Kasumov, F. Nori, arXiv:cond-mat/0601019 Google Scholar
  17. C.P. Sun, L.F. Wei, Y.X. Liu, F. Nori, Phys. Rev. A 73, 022318 (2006); W.K. Hensinger, D.W. Utami, H.S. Goan, K. Schwab, C. Monroe, G.J. Milburn, Phys. Rev. A 72, 041405(R) (2005) CrossRefADSGoogle Scholar
  18. X.B. Zou, W. Mathis, Phys. Lett. A 324, 484 (2004); L. Tian, P. Zoller, Phys. Rev. Lett. 93, 266403 (2005) MATHCrossRefMathSciNetADSGoogle Scholar
  19. I. Martin, A. Shnirman, L. Tian, P. Zoller, Phys. Rev. B 69, 125339 (2004) CrossRefADSGoogle Scholar
  20. P. Zhang, Y.D. Wang, C.P. Sun, Phys. Rev. Lett. 95, 097204 (2005); I. Wilson-Rae, P. Zoller, A. Imamoglu, Phys. Rev. Lett. 92, 075507 (2004) CrossRefADSGoogle Scholar
  21. W.G. van der Wiel, S. De Franceshi, J.M. Elzerman, T. Fujisawa, S. Tarucha, L.P. Kouwenhoven, Rev. Mod. Phys. 75, 1 (2003) CrossRefGoogle Scholar
  22. T. Fujisawa, T. Hayashi, S. Sasaki, Rep. Prog. Phys. 69, 759 (2006); T. Fujisawa, T.H. Oosterkamp, W.G. van der Wiel, B.W. Broer, R. Aguado, S. Tarucha, L.P. Kouwenhoven, Science 282, 932 (1998) CrossRefADSGoogle Scholar
  23. T.H. Oosterkamp, T. Fujisawa, W.G. van der Wiel, K. Ishibashi, R.V. Hijman, S. Tarucha, L.P. Kouwenhoven, Nature 395, 873 (1998) CrossRefADSGoogle Scholar
  24. D.P. Divincenzo, G. Burkard, D. Loss, E.V. Sukhorukov, arXiv:cond-mat/9911245 Google Scholar
  25. T. Hayashi, T. Fujisawa, H.D. Cheong, Y.H. Jeong, Y. Hirayama, Phys. Rev. Lett. 91, 226804 (2003) CrossRefADSGoogle Scholar
  26. T. Fujisawa, T. Hayashi, H.D. Cheong, Y.H. Jeong, Y. Hirayama, Physica E 21, 1046 (2004) CrossRefADSGoogle Scholar
  27. L. Fedichkin, M. Yanchenko, K.A. Valiev, Nanotechnology 11, 387 (2000) CrossRefADSGoogle Scholar
  28. L. Childress, A.S. Sørensen, M.D. Lukin, Phys. Rev. A 69, 042302 (2004) CrossRefADSGoogle Scholar
  29. J.Q. Liao, Y. Guo, H.S. Zeng, L.M. Kuang, J. Phys. B 39 4709 (2006) Google Scholar
  30. W.P. Schleich Quantum Optics in Phase Space (Wiley-VCH, 2000) Google Scholar
  31. P. Rungta, V. Buzěk, C.M. Caves, M. Hillery, G.J. Milburn, Phys. Rev. A 68, 0423606 (2003) Google Scholar
  32. D. Gunlycke, V.M. Kendon, V. Vedral, S. Bose, Phys. Rev. A 64, 042302 (2004) CrossRefADSGoogle Scholar
  33. L.G. Lutterbach, L. Davidovich, Phys. Rev. Lett. 78, 2547 (1997) CrossRefADSGoogle Scholar
  34. K. Banaszek, C. Radzewicz, K. Wo'dkiewicz, J.S. Krasin'ski, Phys. Rev. A 60, 674 (1999); M.S. Kim, G. Antesberger, C.T. Bodendorf, H. Walther, Phys. Rev. A 58, R65 (1998) CrossRefADSGoogle Scholar
  35. U. Leonharad, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, England, 1997) Google Scholar
  36. P. Bertet, A. Auffeves, P. Maioli, S. Osnaghi, T. Meunier, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 89, 200402 (2002); G. Breitenbach, S. Schiller, J. Mlynek, Nature (London) 387, 471 (1997) CrossRefADSGoogle Scholar
  37. D. Leibfried, D.M. Meekhof, B.E. King, C. Monroe, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 77, 4281 (1996) CrossRefADSGoogle Scholar
  38. H.P. Breuer, F. Petriccione, The Theory of Open Quantum Systems (Oxford University Press, USA, 2002) Google Scholar
  39. J. Gorman, D.G. Hasko, D.A. Williams, Phys. Rev. Lett. 95, 090502 (2005) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.and Department of Physics, Human Normal UniversityKey Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of EducationChangshaP.R. China

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