Hilbert-space structure of a solid-state quantum computer: two-electron states of a double-quantum-dot artificial molecule

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 6, 2000, Pages 062301-062301

  Hu, Xuedong ^a   Das Sarma, S ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BAND STRUCTURE; CARRIER CONCENTRATION; COMPUTER SIMULATION; ELECTRON SCATTERING; ELECTRON TRANSPORT PROPERTIES; GROUND STATE; HYDROGEN; MAGNETIC FIELD EFFECTS; MOLECULES; SEMICONDUCTING GALLIUM ARSENIDE; SEMICONDUCTOR QUANTUM DOTS;

CONDUCTION BAND; CONFINED ELECTRON; EXTERNAL MAGNETIC FIELD; HARTREE-FOCK SELF CONSISTENT METHOD; HEISENBERG MODEL; HUBBARD MODEL; MOLECULAR ORBITAL METHOD; QUANTUM COMPUTING;

QUANTUM THEORY;

EID: 0342845326     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (64)

1. D. P. DiVincenzo, Science 270, 255 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996); A. Steane, Rep. Prog. Phys. 61, 117 (1998).
2. D. P. DiVincenzo, Science 270, 255 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996); A. Steane, Rep. Prog. Phys. 61, 117 (1998).
3. D. P. DiVincenzo, Science 270, 255 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996); A. Steane, Rep. Prog. Phys. 61, 117 (1998).
4. P. W. Shor, in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, edited by S. Goldwasser (IEEE Computer Society, Los Alamitos, CA, 1994), p. 124.
5. L. K. Grover, Phys. Rev. Lett. 79, 325 (1997).
6. R. P. Feynman, Int. J. Theor. Phys. 21, 467 (1982); Found. Phys. 16, 507 (1986).
7. R. P. Feynman, Int. J. Theor. Phys. 21, 467 (1982); Found. Phys. 16, 507 (1986).
8. S. Somaroo, C. H. Tseng, T. F. Havel, R. Laflamme, and D. G. Cory, Phys. Rev. Lett. 82, 5381 (1999).
9. P. W. Shor, Phys. Rev. A 52, 2493 (1995); A. M. Steane, Phys. Rev. Lett. 77, 793 (1996).
10. P. W. Shor, Phys. Rev. A 52, 2493 (1995); A. M. Steane, Phys. Rev. Lett. 77, 793 (1996).
11. D. P. DiVincenzo, in Mesoscopic Electron Transport. edited by L. L. Sohn, L. P. Kouwenhoven, and G. Schön (Kluwer, Dordrecht, 1997).
12. J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
13. C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 75, 4714 (1995).
14. T. Sleator and H. Weinfurter, Phys. Rev. Lett. 74, 4087 (1995).
15. Q. A. Turchette, C. J. Hood, W. Lange, H. Marbuchi, and H. J. Kimble, Phys. Rev. Lett. 75, 4710 (1995).
16. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. USA 94, 1634 (1997); N. A. Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
17. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. USA 94, 1634 (1997); N. A. Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
18. A. Shnirman, G. Schön, and Z. Hermon, Phys. Rev. Lett. 79, 2371 (1997); D. V. Averin, Solid State Commun. 105, 659 (1998).
19. A. Shnirman, G. Schön, and Z. Hermon, Phys. Rev. Lett. 79, 2371 (1997); D. V. Averin, Solid State Commun. 105, 659 (1998).
20. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998).
21. A. Imamoglu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, Phys. Rev. Lett. 83, 4204 (1999).
22. N. H. Bonadeo, J. Erland, D. Gammon, D. Park, D. S. Katzer, and D. G. Steel, Science 282, 1473 (1998).
23. B. E. Kane, Nature (London) 393, 133 (1998); V. Privman, I. D. Vagner, and G. Kventsel, Phys. Lett. A 239, 141 (1998).
24. B. E. Kane, Nature (London) 393, 133 (1998); V. Privman, I. D. Vagner, and G. Kventsel, Phys. Lett. A 239, 141 (1998).
25. J. Fabian and S. Das Sarma, Phys. Rev. Lett. 81, 5624 (1998); 83, 1211 (1999); J. Appl. Phys. 85, 5075 (1999).
26. J. Fabian and S. Das Sarma, Phys. Rev. Lett. 81, 5624 (1998); 83, 1211 (1999); J. Appl. Phys. 85, 5075 (1999).
27. J. Fabian and S. Das Sarma, Phys. Rev. Lett. 81, 5624 (1998); 83, 1211 (1999); J. Appl. Phys. 85, 5075 (1999).
28. J. Fabian and S. Das Sarma, J. Vac. Sci. Technol. B 17, 1708 (1999).
29. B. E. Kane, N. S. MeAlpine, A. S. Dzurak, R. G. Clark, G. J. Milburn, H. B. Sun, and H. Wiseman, LANL e-print cond-mat/9903371.
30. L. Jacak, P. Hawrylak, and A. Wójs, Quantum Dots (Springer, Berlin, 1997).
31. R. C. Ashoori, Nature (London) 379, 413 (1996).
32. U. Merkt, J. Huser, and M. Wagner, Phys. Rev. B 43, 7320 (1991).
33. D. Pfannkuche, V. Gudmundsson, and P. A. Maksym, Phys. Rev. B 47, 2244 (1993).
34. J. J. Palacios and P. Hawrylak, Phys. Rev. B 51, 1769 (1995).
35. H. Tamura, Physica B 249-251, 210 (1998).
36. Y. Asano, Phys. Rev. B 58, 1414 (1998).
37. B. Partoens, A. Matulis, and F. M. Peeters, Phys. Rev. B 59, 1617 (1999).
38. G. Burkard, G. Seelig, and D. Loss, LANL e-print cond-mat/9910105.
39. T. Schmidt, R. J. Haug, K. v. Klitzing, A. Föster, and H. Lüth, Phys. Rev. Lett. 78, 1544 (1997).
40. D. G. Austing, T. Honda, K. Muraki, Y. Tokura, and S. Tarucha, Physica B 249-251, 206 (1998).
41. T. H. Oosterkamp, T. Fujisawa, W. G. van der Wiel, K. Ishibashi, R. V. Hijman, S. Tarucha, and L. P. Kouwenhoven, Nature (London) 395, 873 (1998).
42. T. Fujisawa, T. H. Oosterkamp, W. G. van der Wiel, B. W. Broer, R. Aguado, S. Tarucha, and L. P. Kouwenhoven, Science 282, 932 (1998).
43. F. R. Waugh, M. J. Berry, D. J. Mar, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Phys. Rev. Lett. 75, 705 (1995).
44. C. Livermore, C. H. Crouch, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Science 274, 1332 (1996); R. Kotlyar and S. Das Sarma, Phys. Rev. B 56, 13 235 (1997).
45. C. Livermore, C. H. Crouch, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Science 274, 1332 (1996); R. Kotlyar and S. Das Sarma, Phys. Rev. B 56, 13 235 (1997).
46. T. H. Oosterkamp, S. F. Godijn, M. J. Uilenreef, Y. V. Nazarov, N. C. van der Vaart, and L. P. Kouwenhoven, Phys. Rev. Lett. 80, 4951 (1998).
47. R. H. Blick, D. Pfannkuche, R. J. Haug, K. v Klitzing, and K. Eberl, Phys. Rev. Lett. 80, 4032 (1998); R. H. Blick, D. W. van der Weide, R. J. Haug, and K. Eberl, ibid. 81, 689 (1998).
48. R. H. Blick, D. Pfannkuche, R. J. Haug, K. v Klitzing, and K. Eberl, Phys. Rev. Lett. 80, 4032 (1998); R. H. Blick, D. W. van der Weide, R. J. Haug, and K. Eberl, ibid. 81, 689 (1998).
49. C. Yannouleas and U. Landman, Phys. Rev. Lett. 82, 5325 (1999).
50. G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B 59, 2070 (1999).
51. J. C. Slater, Quantum Theory of Molecules and Solids (McGraw-Hill, New York, 1963), Vol. 1; R. McWeeny, Methods of Molecular Quantum Mechanics (Academic Press, San Diego, 1992).
52. J. C. Slater, Quantum Theory of Molecules and Solids (McGraw-Hill, New York, 1963), Vol. 1; R. McWeeny, Methods of Molecular Quantum Mechanics (Academic Press, San Diego, 1992).
53. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, New York, 1976).
54. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Halsted, New York, 1988).
55. M. Wagner, U. Merkt, and A. V. Chaplik, Phys. Rev. B 45, 1951 (1992).
56. C. Herring, in Magnetism, edited by G. T. Rado and H. Suhl (Academic Press, New York, 1966), Vol. 4.
57. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994).
58. C. A. Stafford and S. Das Sarma, Phys. Rev. Lett. 72, 3590 (1994); R. Kotlyar, C. A. Stafford, and S. Das Sarma, Phys. Rev. B 58, 3989 (1998).
59. C. A. Stafford and S. Das Sarma, Phys. Rev. Lett. 72, 3590 (1994); R. Kotlyar, C. A. Stafford, and S. Das Sarma, Phys. Rev. B 58, 3989 (1998).
60. J. M. Kikkawa and D. D. Awschalom, Nature (London) 397, 139 (1999); Phys. Rev. Lett. 80, 4313 (1998); J. M. Kikkawa et al., Science 277, 1284 (1997).
61. J. M. Kikkawa and D. D. Awschalom, Nature (London) 397, 139 (1999); Phys. Rev. Lett. 80, 4313 (1998); J. M. Kikkawa et al., Science 277, 1284 (1997).
62. J. M. Kikkawa and D. D. Awschalom, Nature (London) 397, 139 (1999); Phys. Rev. Lett. 80, 4313 (1998); J. M. Kikkawa et al., Science 277, 1284 (1997).
63. G. Burkard, D. Loss, D. P. DiVincenzo, and J. A. Smolin, Phys. Rev. B 60, 114 04 (1999).
64. M. B. Ruskai, LANL e-print quant-ph/9906114.