Skip to main content
Log in

Electron interference and entanglement in coupled 1D systems with noise

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We estimate the role of noise in the formation of entanglement and in the appearance of single- and two-electron interference in systems of coupled one-dimensional channels. Two cases are considered: a single-particle interferometer and a two-particle interferometer exploiting Coulomb interaction. In both of them, environmental noise yields a randomization of the carrier phases. Our results assess how the complementarity relation linking single-particle behavior to nonlocal quantities (such as entanglement and environment-induced decoherence) acts in electron interferometry. We show that in an experimental implementation of the setups examined, one- and two-electron detection probability at the output drains can be used to evaluate the decoherence and the degree of entanglement.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Single Charge Tunneling, edited by H. Grabert, M. Devoret (Plenum, New York, 1992)

  2. Z.A.K. Durrani, Single-Electron Devices and Circuits in Silicon (Cambridge University Press, Cambridge, 2009)

  3. M.A. Kastner, Rev. Mod. Phys. 64, 849 (1992)

    Article  ADS  Google Scholar 

  4. J. Dressel, Y. Choi, A.N. Jordan, Phys. Rev. B 85, 045320 (2012)

    Article  Google Scholar 

  5. F. Buscemi, P. Bordone, A. Bertoni, J. Phys.: Condens. Matter 21, 305303 (2009)

    Article  Google Scholar 

  6. A.T. Tilke, F.C. Simmel, H. Lorenz, R.H. Blick, J.P. Kotthaus, Phys. Rev. B 68, 075311 (2003)

    Article  ADS  Google Scholar 

  7. M. Yamamoto, S. Takada, C. Baeuerle, K. Watanabe, A.D. Wieck, S. Tarucha, Nat. Nanotechnol. 7, 247 (2012)

    Article  ADS  Google Scholar 

  8. Y. Ji, Y. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, H. Shtrikman, Nature 422, 415 (2003)

    Article  ADS  Google Scholar 

  9. I. Neder, N. Ofek, Y. Chung, M. Heiblum, D. Mahalu, V. Umansky, Nature 448, 333 (2007)

    Article  ADS  Google Scholar 

  10. G.B. Akguc, L.E. Reichl, A. Shaji, M.G. Snyder, Phys. Rev. A 69, 042303 (2004)

    Article  ADS  Google Scholar 

  11. L.E. Reichl, M.G. Snyder, Phys. Rev. A 72, 032330 (2005)

    Article  ADS  Google Scholar 

  12. R.Q. Yang, J.M. Xu, Phys. Rev. B 43, 1699 (1991)

    Article  ADS  Google Scholar 

  13. C.C. Eugster, J.A. del Alamo, M.J. Rooks, M.R. Melloch, Appl. Phys. Lett. 64, 3157 (1994)

    Article  ADS  Google Scholar 

  14. T. Morimoto et al., Appl. Phys. Lett. 82, 3952 (2003)

    Article  ADS  Google Scholar 

  15. A. Ramamoorthy, J.P. Bird, J.L. Reno, Appl. Phys. Lett. 89, 013118 (2006)

    Article  ADS  Google Scholar 

  16. A. Ramamoorthy, L. Mourokh, J.L. Reno, J.P. Bird, Phys. Rev. B 78, 035335 (2008)

    Article  ADS  Google Scholar 

  17. A. Bertoni, P. Bordone, R. Brunetti, C. Jacoboni, S. Reggiani, Phys. Rev. Lett. 84, 5912 (2000)

    Article  ADS  Google Scholar 

  18. F. Buscemi, P. Bordone, A. Bertoni, Phys. Rev. B 81, 045312 (2010)

    Article  ADS  Google Scholar 

  19. F. Buscemi, Phys. Rev. A 83, 012302 (2011)

    Article  ADS  Google Scholar 

  20. D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin, 1996)

  21. W.H. Zurek, Rev. Mod. Phys. 75, 715 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. A. Stern, Y. Aharonov, Y. Imry, Phys. Rev. A 41, 3436 (1990)

    Article  ADS  Google Scholar 

  23. S.A. van Langen, M. Büttiker, Phys. Rev. B 56, R1680 (1997)

    Article  ADS  Google Scholar 

  24. J.H. Davies, J.C. Egues, J.W. Wilkins, Phys. Rev. B 52, 11259 (1995)

    Article  ADS  Google Scholar 

  25. F. Marquardt, C. Bruder, Phys. Rev. B 70, 125305 (2004)

    Article  ADS  Google Scholar 

  26. F. Marquardt, C. Bruder, Phys. Rev. Lett. 92, 056805 (2004)

    Article  ADS  Google Scholar 

  27. S.G. Jakobs, V. Meden, H. Schoeller, T. Enss, Phys. Rev. B 75, 035126 (2007)

    Article  ADS  Google Scholar 

  28. G. Jaeger, M.A. Horne, A. Shimony, Phys. Rev. A 48, 1023 (1993)

    Article  ADS  Google Scholar 

  29. G. Jaeger, A. Shimony, L. Vaidman, Phys. Rev. A 51, 54 (1995)

    Article  ADS  Google Scholar 

  30. X. Peng, X. Zhu, D. Suter, J. Du, M. Liu, K. Gao, Phys. Rev. A 72, 052109 (2005)

    Article  ADS  Google Scholar 

  31. M. Jakob, J.A. Bergou, Opt. Commun. 283, 827 (2001)

    Article  ADS  Google Scholar 

  32. J. Suzuki, C. Miniatura, K. Nemoto, Phys. Rev. A 81, 062307 (2010)

    Article  ADS  Google Scholar 

  33. X. Peng, J. Zhang, J. Du, D. Suter, Phys. Rev. A 77, 052107 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  34. M. Born, E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999)

  35. T. Zibold, P. Vogl, A. Bertoni, Phys. Rev. B 76, 195301 (2007)

    Article  ADS  Google Scholar 

  36. A. Bertoni, P. Bordone, R. Brunetti, C. Jacoboni, S. Reggiani, J. Mod. Opt. 49, 1219 (2002)

    Article  ADS  MATH  Google Scholar 

  37. V. Corato, P. Silvestrini, A. Görlich, P. Korcyl, J. Wosiek, L. Stodolsky, Phys. Rev. B 75, 184507 (2007)

    Article  ADS  Google Scholar 

  38. D. Rossini, G. Benenti, G. Casati, Phys. Rev. E 74, 036209 (2006)

    Article  ADS  Google Scholar 

  39. A. Amir, Y. Lahini, H.B. Perets, Phys. Rev. E 79, 050105 (2009)

    Article  ADS  Google Scholar 

  40. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  41. M. Furlan, S.V. Lotkhov, Phys. Rev. B 67, 205313 (2003)

    Article  ADS  Google Scholar 

  42. J. Johansson, D.B. Haviland, Phys. Rev. B 63, 014201 (2000)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Buscemi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buscemi, F., Bordone, P. & Bertoni, A. Electron interference and entanglement in coupled 1D systems with noise. Eur. Phys. J. D 66, 312 (2012). https://doi.org/10.1140/epjd/e2012-30469-5

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2012-30469-5

Keywords

Navigation