Decoherence of Einstein-Podolsky-Rosen pairs in a noisy Andreev entangler

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 4, 2006, Pages

  Dupont, Émilie ^a   Le Hur, Karyn ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33144458387     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.045325     Document Type: Article

References (49)

1. E. Schrödinger, Naturwiss. NATWAY 0028-1042 10.1007/BF01491891 23, 807 (1935);
2. E. Schrödinger, Naturwiss. NATWAY 0028-1042 10.1007/BF01491987 23, 844 (1935).
3. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.47.777 47, 777 (1935).
4. J. S. Bell, Physics (Long Island City, N.Y.) PYCSAP 0554-128X 10.1103/PhysRev.47.777 1, 195 (1965);
5. J. S. Bell, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.38.447 38, 447 (1966).
6. C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
7. C. H. Bennett and D. P. DiVincenzo, Nature (London) NATUAS 0028-0836 10.1038/35005001 404, 247 (2000);
8. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
9. A. Aspect, J. Dalibard, and G. Roger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.1804 49, 1804 (1982);
10. L. Mandel, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.S274 71, S274 (1994);
11. A. Zeilinger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.S288 71, S288 (1999).
12. P. Recher, E. V. Sukhorukov, and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.165314 63, 165314 (2001).
13. For an introduction to the Andreev reflection (the elastic transfer of two electrons forming a Cooper pair from a superconductor to a normal metal): A. F. Andreev, Sov. Phys. JETP SPHJAR 0038-5646 19, 1228 (1964)
14. [A. F. Andreev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 46, 1823 (1964)].
15. O. Sauret, D. Feinberg, and T. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245313 70, 245313 (2004).
16. P. Recher and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65. 165327 65, 165327 (2002);
17. P. Recher and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.267003 91, 267003 (2003).
18. C. Bena, S. Vishveshwara, L. Balents, and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.037901 89, 037901 (2002).
19. For a review on the subject: P. Recher and D. Loss, cond-mat/0205484 or J. Supercond. JOUSEH 0896-1107 15, 49 (2002).
20. G. Burkard, D. Loss, and E. V. Sukhorukov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.R16303 61, R16303 (2000).
21. P. Samuelsson, E. V. Sukhorukov, and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.115330 70, 115330 (2004).
22. N. M. Chtchelkatchev, G. Blatter, G. B. Lesovik, and T. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.161320 66, 161320 (R) (2002).
23. O. Sauret, T. Martin, and D. Feinberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.024544 72, 024544 (2005).
24. S. Kawabata, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.1210 70, 1210 (2001).
25. C. W. J. Beenakker, C. Emary, M. Kindermann, and J. L. van Velsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147901 91, 147901 (2003).
26. G. B. Lesovik, T. Martin, and G. Blatter, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s10051-001-8675-4 24, 287 (2001).
27. J. M. Byers and M. E. Flatté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.306 74, 306 (1995).
28. J. Torrès and T. Martin, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510051010 12, 319 (1999).
29. G. Deutscher and D. Feinberg, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.125796 76, 487 (2000).
30. G. Falci, D. Feinberg, and F. W. J. Hekking, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00303-0 54, 255 (2001).
31. For a recent Ref.: G. Bignon, M. Houzet, F. Pistolesi, and F. W. J. Hekking, Europhys. Lett. EULEEJ 0295-5075 67, 110 (2004).
32. P. Cedraschi, V. V. Ponomarenko, and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.346 84, 346 (2000);
33. P. Cedraschi and M. Büttiker, Ann. Phys. ANPYA2 0003-3804 289, 1 (2001).
34. F. Marquardt and C. Bruder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.125315 65, 125315 (2002).
35. F. Marquardt, and C. Bruder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.195303 68, 195303 (2003).
36. W. G. van der Wiel, S. De Franceschi, J. M. Elzerman, T. Fujisawa, S. Tarucha, and L. P. Kouwenhoven, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1 75 (1), 1 (2003).
37. J. B. Kycia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 017002 87, 017002 (2001);
38. A. J. Rimberg and W. Lu, cond-mat/0205382.
39. See, e.g., D. D. Awschalom and J. M. Kikkawa, Phys. Today PHTOAD 0031-9228 10.1063/1.882695 52 (6), 33 (1999);
40. Y. Ohno, D. K. Young, B. Beschoten, F. Matsukura, H. Ohno, and D. D. Awschalom, Nature (London) NATUAS 0028-0836 10.1038/45509 402, 790 (1999).
41. Yu. V. Nazarov and G.-L. Ingold, in Single Charge Tunneling, edited by, H. Grabert, and, M. H. Devoret, (Plenum, New York, 1992), Chap., pp. 21-107.
42. J. R. Schrieffer, Theory of Superconductivity (Benjamin/Cummings, New York, 1964).
43. M. R. Li and K. Le Hur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.176802 93, 176802 (2004);
44. K. le Hur and M. R. Li, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.073305 72, 073305 (2005).
45. M.-H. Devoret, D. Esteve, H. Grabert, G.-L. Ingold, H. Pothier, and C. Urbina, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1824 64, 1824 (1990).
46. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(88)90023-3 168, 115 (1988).
47. S. M. Girvin, L. I. Glazman, M. Jonson, D. R. Penn, and M. D. Stiles, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.3183 64, 3183 (1990).
48. P. Recher and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.267003 91, 267003 (2003).
49. M. S. Choi, C. Bruder, and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.13569 62, 13569 (2000).