Entangled Hanbury Brown Twiss effects with edge states

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 20, Issue 1-2, 2003, Pages 33-42

  Buttiker M ^a   Samuelsson, P ^a   Sukhorukov, E V ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Bell inequality; Entanglement; Hanbury Brown Twiss; Shot noise

Indexed keywords

COMPUTATIONAL GEOMETRY; ELECTROMAGNETIC WAVE INTERFERENCE; MATRIX ALGEBRA; QUANTUM THEORY; SPURIOUS SIGNAL NOISE;

INELASTIC SCATTERING; QUANTUM HALL EFFECT (QHE);

HALL EFFECT;

EID: 0345357852     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2003.09.019     Document Type: Conference Paper

References (63)

1. von Klitzing K., Dorda G., Pepper M. Phys. Rev. Lett. 45:1980;494.
2. van Wees B.J., et al. Phys. Rev. Lett. 60:1988;848.
3. Wharam D.A., et al. J. Phys. C. 21:1988;L861.
4. Müller G., et al. Phys. Rev. B. 42:1990;7633.
5. Büttiker M. Phys. Rev. Lett. 65:1990;2901.
6. Hanbury Brown R., Twiss R.Q. Nature. 178:1956;1046.
7. Purcell E.M. Nature. 178:1956;1449.
8. P. Samuelsson, E. Sukhorukov, M. Büttiker, unpublished, cond-mat/0307473.
9. Henny M., et al. Science. 284:1999;296.
10. Oberholzer S., et al. Physica E. 6:2000;314.
11. Oliver W.D., et al. Science. 284:1999;299.
12. Kiesel H., et al. Nature. 418:2002;392.
13. Halperin B.J. Phys. Rev. B. 25:1982;2185.
14. Büttiker M. Phys. Rev. B. 38:1988;9375.
15. van Wees B.J., et al. Phys. Rev. B. 39:1989;8066 Komiyama S., et al. Solid State Commun. 73:1990;91 Alphenaar B.W., et al. Phys. Rev. Lett. 64:1990;677.
16. van Wees B.J., et al. Phys. Rev. B. 39:1989;8066 Komiyama S., et al. Solid State Commun. 73:1990;91 Alphenaar B.W., et al. Phys. Rev. Lett. 64:1990;677.
17. van Wees B.J., et al. Phys. Rev. B. 39:1989;8066 Komiyama S., et al. Solid State Commun. 73:1990;91 Alphenaar B.W., et al. Phys. Rev. Lett. 64:1990;677.
18. For reviews see: M. Büttiker, in: Mark Reed (Ed.), Nanostructured Systems, Semiconductor and Semimetals, Vol. 35, Academic Press, Boston, MA, 1991, p. 191. Haug R.J. Semicond. Sci. Technol. 8:1993;131.
19. For reviews see: M. Büttiker, in: Mark Reed (Ed.), Nanostructured Systems, Semiconductor and Semimetals, Vol. 35, Academic Press, Boston, MA, 1991, p. 191. Haug R.J. Semicond. Sci. Technol. 8:1993;131.
20. Christen T., Büttiker M. Phys. Rev. B. 53:1996;2064 Komiyama S., Hirai H. Phys. Rev. B. 54:1996;2067.
21. Christen T., Büttiker M. Phys. Rev. B. 53:1996;2064 Komiyama S., Hirai H. Phys. Rev. B. 54:1996;2067.
22. Büttiker M. Phys. Rev. B. 46:1992;12485.
23. Ya.M. Blanter, M. Büttiker, Phys. Rep. 336 (200) 1.
24. Khlus V.A. Zh. Éksp. Teor. Fiz. 93:1987;2179. [Sov. Phys. JETP 66 (1987) 1243].
25. Khlus V.A. Zh. Éksp. Teor. Fiz. 93:1987;2179. [Sov. Phys. JETP 66 (1987) 1243].
26. Lesovik G.B. Pis'ma Zh. Éksp. Teor. Fiz. 49:1989;513. [JETP Lett. 49 (1989) 592].
27. Lesovik G.B. Pis'ma Zh. Éksp. Teor. Fiz. 49:1989;513. [JETP Lett. 49 (1989) 592].
28. Martin T., Landauer R. Phys. Rev. B. 45:1992;1742.
29. Reznikov M.I., et al. Phys. Rev. Lett. 75:1995;3340 Kumar A., et al. Phys. Rev. Lett. 76:1996;2778.
30. Reznikov M.I., et al. Phys. Rev. Lett. 75:1995;3340 Kumar A., et al. Phys. Rev. Lett. 76:1996;2778.
31. Büttiker M. Physica B. 175:1991;199.
32. Texier C., Büttiker M. Phys. Rev. B. 62:2000;7454.
33. de Jong M.J.M., Beenakker C.W.J. Physica A. 230:1996;219.
34. van Langen S.A., Büttiker M. Phys. Rev. B. 56:1997;1680.
35. Büttiker M. Nazarov Yu. Quantum Noise in Mesoscopic Physics. 2003;3 Kluwer Academic Publishers, Dordrecht, Netherlands.
36. Crépieux A., et al. Phys. Rev. B. 67:2003;205408.
37. A. Cottet, W. Belzig, C. Bruder, unpublished, cond-mat/0308564.
38. Seelig G., Büttiker M. Phys. Rev. B. 64:2001;245313 G. Seelig, et al., cond-mat/0304022.
39. Seelig G., Büttiker M. Phys. Rev. B. 64:2001;245313 G. Seelig, et al., cond-mat/0304022.
40. Ji Y., et al. Nature. 422:2003;415.
41. F. Marquardt, C. Bruder, cond-mat/0306504.
42. Yurke B., Stoler D. Phys. Rev. A. 46:1992;2229.
43. Büttiker M. Phys. Rev. Lett. 68:1992;843.
44. Gramespacher T., Buttiker M. Phys. Rev. Lett. 81:1998;2763 Gramespacher T., Buttiker M. Phys. Rev. B. 60:1999;2375.
45. Gramespacher T., Buttiker M. Phys. Rev. Lett. 81:1998;2763 Gramespacher T., Buttiker M. Phys. Rev. B. 60:1999;2375.
46. Loss D., Sukhorukov E.V. Phys. Rev. Lett. 84:2000;1035.
47. Sukhorukov E.V., Loss D. Phys. Rev. B. 59:1999;13054.
48. Pittman B., Franson J.D. Phys. Rev. Lett. 90:2003;240401. and refs. therein.
49. Bell J. Physics. 1:1964;195.
50. P. Samuelsson, E. Sukhorukov, M. Büttiker, Phys. Rev. Lett. unpublished, cond-mat/0303531.
51. The single edge state geometry discussed here is especially robust against dephasing. See P. Samuelsson, E. Sukhorukov, M. Büttiker, Quantum computation at the atomic scale (special issue), Turkish J. Phys., unpublished, cond-mat/0309540; In the presence of two or more edge states, interedge state scattering makes it more difficult to observe violations of a Bell Inequality. See J.L. van Velsen, M. Kindermann, C.W.J. Beenakker, Quantum computation at the atomic scale (special issue), Turkish J. Phys., unpublished, cond-mat/0307198.
52. The single edge state geometry discussed here is especially robust against dephasing. See P. Samuelsson, E. Sukhorukov, M. Büttiker, Quantum computation at the atomic scale (special issue), Turkish J. Phys., unpublished, cond-mat/0309540; In the presence of two or more edge states, interedge state scattering makes it more difficult to observe violations of a Bell Inequality. See J.L. van Velsen, M. Kindermann, C.W.J. Beenakker, Quantum computation at the atomic scale (special issue), Turkish J. Phys., unpublished, cond-mat/0307198.
53. Maître X., Oliver W.D., Yamamoto Y. Physica E. 6:2000;301 Kawabata S. J. Phys. Soc. Japan. 70:2001;1210.
54. Maître X., Oliver W.D., Yamamoto Y. Physica E. 6:2000;301 Kawabata S. J. Phys. Soc. Japan. 70:2001;1210.
55. M. Chtchelkatchev N., et al. Phys. Rev. B. 66:2002;161320.
56. C.W.J. Beenakker, et al., Phys. Rev. Lett., unpublished, cond-mat/0305110.
57. L. Faoro, F. Taddei, R. Fazio, cond-mat/0306733.
58. V. Scarani, N. Gisin, S. Popescu, unpublished, cond-mat/0307385.
59. Bohm D., Aharonov A. Phys. Rev. 108:1957;1070.
60. F. Clauser J., et al. Phys. Rev. Lett. 23:1969;880.
61. Aspect A., Grangier P., Roger G. Phys. Rev. Lett. 49:1982;91.
62. Safi I., Devillard P., Martin T. Phys. Rev. Lett. 86:2001;4628.
63. S. Vishveshwara, unpublished, cond-mat/0304568.