Quantum information and triangular optical lattices

Optics and Spectroscopy (English translation of Optika i Spektroskopiya)

Volumn 99, Issue 3, 2005, Pages 339-356

  Kay, A ^a   Lee, D K K ^b   Pachos, J K ^a   Plenio, M B ^b   Reuter, M E ^b   Rico, E ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; CRYSTAL LATTICES; FERMIONS; HAMILTONIANS; MAGNETIC FIELD EFFECTS; QUANTUM THEORY;

ENTANGLEMENT PROPERTIES; OPTICAL LATTICES; QUANTUM COMPUTING; QUANTUM INFORMATION;

QUANTUM OPTICS;

EID: 27944454364     PISSN: 0030400X     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.2055926     Document Type: Article

References (72)

1. A. Kastberg, W. D. Phillips, S. L. Rolston, et al., Phys. Rev. Lett. 74, 1542 (1995);
2. G. Raithel, W. D. Phillips, and S. L. Rolston, Phys. Rev. Lett. 81, 3615 (1998).
3. M. Greiner, O. Mandel, T. Esslinger, et al., Nature 415, 39 (2002);
4. M. Greiner, O. Mandel, T. W. Heanch, and I. Bloch, Nature 419, 51 (2002).
5. O. Mandel, M. Greiner, A. Widera, et al., Nature 425, 937 (2003).
6. D. Jaksch, H. -J. Briegel, J. I. Cirac, et al., Phys. Rev. Lett. 82, 1975 (1999).
7. G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, Phys. Rev. Lett. 82, 1060 (1999).
8. A. Kay and J. K. Pachos, New J. Phys. 6, 126 (2004).
9. J. Mompart, K. Eckert, W. Ertmer, et al., Phys. Rev. Lett. 90, 147901 (2003).
10. D. Jaksch, C. Bruder, J. I. Cirac, et al., Phys. Rev. Lett. 81, 3108 (1998).
11. A. B. Kuklov and B. V. Svistunov, Phys. Rev. Lett. 90, 100401 (2003).
12. D. Jaksch and P. Zoller, New J. Phys. 5, 56.1 (2003).
13. L. M. Duan, E. Dernier, and M. D. Lukin, Phys. Rev. Lett. 91, 090402 (2003).
14. A. Mizel and D. A. Lidar, Phys. Rev. B 70, 115310 (2004).
15. P. Rabl, A. J. Daley, P. O. Fedichev, et al., Phys. Rev. Lett. 91, 110403 (2003).
16. S. E. Sklarz, I. Friedler, D. J. Tannor, et al., Phys. Rev. A 66, 053620 (2002).
17. D. C. Roberts and K. Burnett, Phys. Rev. Lett. 90, 150401 (2003).
18. J. K. Pachos and M. B. Plenio, Phys. Rev. Lett. 93, 056402 (2004).
19. S. Sachdev, Quantum Phase Transitions (Cambridge Univ. Press, Cambridge, 1999).
20. P. Fendley, K. Sengupta, and S. Sachdev, Phys. Rev. B 69, 075106 (2004).
21. K. A. Penson, J. M. Debierre, and L. Turban, Phys. Rev. B 37, 7884 (1988).
22. F. Iglói, Phys. Rev. B 40, 2362 (1989).
23. P. Fendley, K. Sengupta, and S. Sachdev, cond-mat/0309438.
24. L. Turban, J. Phys. C: Solid State Phys. 15, L65 (1982).
25. K. A. Penson, R. Jullien, and P. Pfeuty, Phys. Rev. B 26, 6334 (1982).
26. F. Iglói, J. Phys. A: Math. Gen. 20, 5319 (1987).
27. J. Christiian, A. d'Auriac, and F. Iglói, Phys. Rev. E 58, 241 (1998).
28. R. B. Laughlin, Science 242, 525 (1988).
29. J. K. Pachos and P. L. Knight, Phys. Rev. Lett. 91, 107902 (2003).
30. J. K. Pachos and E. Rico, Phys. Rev. A 70, 053620 (2004).
31. S. Inouye, M. R. Andrews, J. Stenger, et al., Nature 392, 151 (1998).
32. A. Donley, N. R. Claussen, S. L. Cornish, et al., Nature 412, 295 (2001).
33. S. J. J. M. F. Kokkelmans and M. J. Holland, Phys. Rev. Lett. 89, 180401 (2002);
34. T. Koehler, T. Gasenzer, and K. Burnett, cond-mat/0209100.
35. W. V. Liu, F. Wilczek, and P. Zoller, cond-mat/0404478.
36. A. Kitaev (in press).
37. For an alternative method see, e.g., [10].
38. Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
39. J. K. Pachos, cond-mat/0405374.
40. S. L. Cornish et al., Phys. Rev. Lett. 85, 1795 (2000);
41. J. K. Chin, J. M. Vogels, and W. Ketterle, Phys. Rev. Lett. 90, 160405 (2003);
42. M. Greiner et al., Phys. Rev. Lett. 92, 150405 (2004).
43. X. G. Wen, F. Wilczek, and A. Zee, Phys. Rev. B 39, 11413 (1989).
44. D. S. Rokhsar, Phys. Rev. Lett. 65, 1506 (1990).
45. D. Sen and R. Chitra, Phys. Rev. B 51, 1922 (1995).
46. V. Kalmeyer and R. B. Laughlin, Phys. Rev. Lett. 59, 2095 (1987).
47. A. S. Sorensen, E. Dernier, and M. D. Lukin, cond-mat/0405079.
48. D. A. Huse and M. E. Fisher, Phys. Rev. Lett. 49, 793 (1982).
49. J. I. Latorre, E. Rico, and G. Vidal, quant-ph/0304098.
50. F. Verstraete, M. Popp, and J. I. Cirac, Phys. Rev. Lett. 92, 027901 (2004).
51. F. Verstraete and M.-A. Matrin-Delgado, Phys. Rev. Lett. 92, 087201 (2004).
52. F. Verstraete and J. I. Cirac, quant-ph/0311130.
53. R. Raussendorf et al., Phys. Rev. A 68, 022312 (2003).
54. G. Gallavotti, Statistical Mechanics: A Short Treatise (Springer, Berlin, 1999).
55. E. Barouch and B. M. McCoy, Phys. Rev. A 3, 786 (1971).
56. J. Eisert and M. B. Plenio, J. Mod. Opt. 46, 145 (1999);
57. J. Eisert, Doctoral Dissertation (Potsdam, February 2001);
58. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002);
59. K. Audenaert, M. B. Plenio, and J. Eisert, Phys. Rev. Lett. 90, 027901 (2003).
60. M. B. Plenio and V. Vedral, Contemp. Phys. 39, 431 (1998);
61. J. Eisert and M. B. Plenio, Int. J. Quant. Inf. 1, 479 (2003).
62. S. C. Benjamin, Phys. Rev. A 61, 020301 (2000).
63. S. C. Benjamin, Phys. Rev. Lett. 88, 017904 (2002).
64. S. C. Benjamin, A. Kay, and A. Bririd, quant-ph/0308113.
65. S. C. Benjamin, quant-ph/0104117.
66. T. Calarco, U. Dorner, P. Julienne, et al., quant-ph/0403197.
67. S. Peile, J. V. Porto, B. Laburthe, et al., Phys. Rev. A 67, 051603 (2003).
68. G. M. Palma, K. A. Suominen, and A. K. Ekert, Proc. Roy Soc. A 452, 567 (1996).
69. M. B. Plenio, V. Vedral, and P. L. Knight, Phys. Rev. A 55, 67 (1997).
70. A. M. Steane, Phys. Rev. Lett. 77, 793 (1996).
71. A. M. Steane, quant-ph/9809054.
72. D. Aharonov and M. Ben-Or, quant-ph/9906129.