Entanglement production in chaotic quantum dots subject to spin-orbit coupling

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 16, 2006, Pages

  Frustaglia, Diego ^a   Montangero, Simone ^a   Fazio, Rosario ^a,b  

^a INFM   (Italy)

^b SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750360845     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.165326     Document Type: Article

References (45)

1. C. W. J. Beenakker, in Quantum Computers, Algorithms and Chaos, Proceedings of the International School of Physics "Enrico Fermi, " Varenna, 2005, (IOS Press, Amsterdam, 2006)
2. cond-mat/0508488.
3. C. W. J. Beenakker, M. Kindermann, C. M. Marcus, and A. Yacoby, in Fundamental Problems of Mesoscopic Physics, edited by, I. V. Lerner,,, B. L. Altshuler,, and, Y. Gefen,, NATO Science Series II vol. 154 (Kluwer, Dordrecht, 2004).
4. 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).
5. P. Samuelsson, E. V. Sukhorukov, and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.026805 92, 026805 (2004).
6. P. Samuelsson, E. V. Sukhorukov, and M. Büttiker, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/176 7, 176 (2005).
7. S. Bose and D. Home, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.050401 88, 050401 (2002).
8. A. I. Signal and U. Zülicke, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2041821 87, 102102 (2005).
9. A. V. Lebedev, G. B. Lesovik, and G. Blatter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.045306 71, 045306 (2005).
10. P. Recher, E. V. Sukhorukov, and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.165314 63, 165314 (2001).
11. G. B. Lesovik, T. Martin, and G. Blatter, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s10051-001-8675-4 24, 287 (2001).
12. P. Samuelsson, E. V. Sukhorukov, and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.157002 91, 157002 (2003);
13. P. Samuelsson, E. V. Sukhorukov, and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.115330 70, 115330 (2004).
14. P. Recher and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65. 165327 65, 165327 (2002);
15. P. Recher and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.267003 91, 267003 (2003).
16. E. Prada and F. Sols, Eur. Phys. J. B EPJBFY 1434-6028 40, 379 (2004);
17. E. Prada and F. Sols, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/ 1/231 7, 231 (2005).
18. O. Sauret, D. Feinberg, and T. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245313 70, 245313 (2004).
19. 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).
20. V. Bouchiat, N. Chtchelkatchev, D. Feinberg, G. B. Lesovik, T. Martin, and J. Torres, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/14/1/318 14, 77 (2003).
21. W. D. Oliver, F. Yamaguchi, and Y. Yamamoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.037901 88, 037901 (2002).
22. D. S. Saraga and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.166803 90, 166803 (2003).
23. A. T. Costa and S. Bose, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.277901 87, 277901 (2001).
24. C. W. J. Beenakker and M. Kindermann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.056801 92, 056801 (2004).
25. C. W. J. Beenakker, C. Emary, and M. Kindermann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.115320 69, 115320 (2004).
26. P. Samuelsson and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.245317 71, 245317 (2005).
27. D. S. Saraga, B. L. Altshuler, D. Loss, and R. M. Westervelt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.045338 71, 045338 (2005).
28. L. Faoro, F. Taddei, and R. Fazio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.125326 69, 125326 (2004).
29. J. C. Egues, G. Burkard, D. S. Saraga, J. Schliemann, and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.235326 72, 235326 (2005).
30. Y. Bychkov and E. Rashba, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/33/015 17, 6039 (1984).
31. For a detailed description of the numerical method see D. Frustaglia, M. Hentschel, and K. Richter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69. 155327 69, 155327 (2004).
32. Similar billiards were successfully used in the past for the numerical study of quantum corrections to the conductance of chaotic systems [see H. U. Baranger and P. A. Mello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 73.142 73, 142 (1994)].
33. See, e. g., K. Richter and M. Sieber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.206801 89, 206801 (2002).
34. D. M. Zumbühl, J. B. Miller, C. M. Marcus, K. Campman, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.276803 89, 276803 (2002).
35. I. L. Aleiner and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.256801 87, 256801 (2001).
36. P. W. Brouwer, J. N. H. J. Cremers, and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.081302 65, 081302 (R) (2002).
37. O. Zaitsev, D. Frustaglia, and K. Richter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.026809 94, 026809 (2005);
38. O. Zaitsev, D. Frustaglia, and K. Richter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.155325 72, 155325 (2005).
39. H. M. Wiseman and J. A. Vaccaro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.097902 91, 097902 (2003).
40. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
41. G. Burkard and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.087903 91, 087903 (2003);
42. V. Giovannetti, D. Frustaglia, F. Taddei, and R. Fazio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.115315 74, 115315 (2006).
43. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996);
44. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000).
45. C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 69.731 69, 731 (1997).