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.
Similar content being viewed by others
References
Single Charge Tunneling, edited by H. Grabert, M. Devoret (Plenum, New York, 1992)
Z.A.K. Durrani, Single-Electron Devices and Circuits in Silicon (Cambridge University Press, Cambridge, 2009)
M.A. Kastner, Rev. Mod. Phys. 64, 849 (1992)
J. Dressel, Y. Choi, A.N. Jordan, Phys. Rev. B 85, 045320 (2012)
F. Buscemi, P. Bordone, A. Bertoni, J. Phys.: Condens. Matter 21, 305303 (2009)
A.T. Tilke, F.C. Simmel, H. Lorenz, R.H. Blick, J.P. Kotthaus, Phys. Rev. B 68, 075311 (2003)
M. Yamamoto, S. Takada, C. Baeuerle, K. Watanabe, A.D. Wieck, S. Tarucha, Nat. Nanotechnol. 7, 247 (2012)
Y. Ji, Y. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, H. Shtrikman, Nature 422, 415 (2003)
I. Neder, N. Ofek, Y. Chung, M. Heiblum, D. Mahalu, V. Umansky, Nature 448, 333 (2007)
G.B. Akguc, L.E. Reichl, A. Shaji, M.G. Snyder, Phys. Rev. A 69, 042303 (2004)
L.E. Reichl, M.G. Snyder, Phys. Rev. A 72, 032330 (2005)
R.Q. Yang, J.M. Xu, Phys. Rev. B 43, 1699 (1991)
C.C. Eugster, J.A. del Alamo, M.J. Rooks, M.R. Melloch, Appl. Phys. Lett. 64, 3157 (1994)
T. Morimoto et al., Appl. Phys. Lett. 82, 3952 (2003)
A. Ramamoorthy, J.P. Bird, J.L. Reno, Appl. Phys. Lett. 89, 013118 (2006)
A. Ramamoorthy, L. Mourokh, J.L. Reno, J.P. Bird, Phys. Rev. B 78, 035335 (2008)
A. Bertoni, P. Bordone, R. Brunetti, C. Jacoboni, S. Reggiani, Phys. Rev. Lett. 84, 5912 (2000)
F. Buscemi, P. Bordone, A. Bertoni, Phys. Rev. B 81, 045312 (2010)
F. Buscemi, Phys. Rev. A 83, 012302 (2011)
D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin, 1996)
W.H. Zurek, Rev. Mod. Phys. 75, 715 (2003)
A. Stern, Y. Aharonov, Y. Imry, Phys. Rev. A 41, 3436 (1990)
S.A. van Langen, M. Büttiker, Phys. Rev. B 56, R1680 (1997)
J.H. Davies, J.C. Egues, J.W. Wilkins, Phys. Rev. B 52, 11259 (1995)
F. Marquardt, C. Bruder, Phys. Rev. B 70, 125305 (2004)
F. Marquardt, C. Bruder, Phys. Rev. Lett. 92, 056805 (2004)
S.G. Jakobs, V. Meden, H. Schoeller, T. Enss, Phys. Rev. B 75, 035126 (2007)
G. Jaeger, M.A. Horne, A. Shimony, Phys. Rev. A 48, 1023 (1993)
G. Jaeger, A. Shimony, L. Vaidman, Phys. Rev. A 51, 54 (1995)
X. Peng, X. Zhu, D. Suter, J. Du, M. Liu, K. Gao, Phys. Rev. A 72, 052109 (2005)
M. Jakob, J.A. Bergou, Opt. Commun. 283, 827 (2001)
J. Suzuki, C. Miniatura, K. Nemoto, Phys. Rev. A 81, 062307 (2010)
X. Peng, J. Zhang, J. Du, D. Suter, Phys. Rev. A 77, 052107 (2008)
M. Born, E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999)
T. Zibold, P. Vogl, A. Bertoni, Phys. Rev. B 76, 195301 (2007)
A. Bertoni, P. Bordone, R. Brunetti, C. Jacoboni, S. Reggiani, J. Mod. Opt. 49, 1219 (2002)
V. Corato, P. Silvestrini, A. Görlich, P. Korcyl, J. Wosiek, L. Stodolsky, Phys. Rev. B 75, 184507 (2007)
D. Rossini, G. Benenti, G. Casati, Phys. Rev. E 74, 036209 (2006)
A. Amir, Y. Lahini, H.B. Perets, Phys. Rev. E 79, 050105 (2009)
W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)
M. Furlan, S.V. Lotkhov, Phys. Rev. B 67, 205313 (2003)
J. Johansson, D.B. Haviland, Phys. Rev. B 63, 014201 (2000)
Author information
Authors and Affiliations
Corresponding author
Rights 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
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2012-30469-5