Quantum simulation of the transverse Ising model with trapped ions

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  Kim, K ^a,e   Korenblit, S ^a   Islam, R ^a   Edwards, E E ^a   Chang, M S ^a,f   Noh, C ^b,g   Carmichael, H ^b   Lin, G D ^c,h   Duan, L M ^c   Joseph Wang, C C ^d   Freericks, J K ^d   Monroe, C ^a  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

^c UNIVERSITY OF MICHIGAN   (United States)

^d GEORGETOWN UNIVERSITY   (United States)

^e TSINGHUA UNIVERSITY   (China)

^f INSTITUTE OF ATOMIC AND MOLECULAR SCIENCES   (Taiwan)

^g NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^h HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC IONS; MAGNETIC SPIN; MANY-BODY; QUANTUM PHYSICS; QUANTUM SIMULATIONS; TRANSVERSE ISING MODELS; TRAPPED ION;

ATOMIC PHYSICS; IONS; ISING MODEL; QUANTUM CHEMISTRY; YTTERBIUM;

COMPUTER SIMULATION;

EID: 80054854037     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/10/105003     Document Type: Article

References (83)

1. Feynman R 1982 Int. J. Theor. Phys. 21 467-88
2. Lloyd S 1996 Science 273 1073
3. Moessner R and Ramirez A P 2006 Phys. Today 59 24
4. Binder K and Young A P 1986 Rev. Mod. Phys. 58 801-976
5. Balents L 2010 Nature 464 199
6. Moriya T and Ueda K 2003 Rep. Prog. Phys. 66 1299
7. Sachdev S 2003 Rev. Mod. Phys. 75 913-32
8. Raedt K, Michielsen K, Raedt H, Trieu B, Arnold G, Richter M, Lippert T, Watanabe H and Ito N 2007 Comput. Phys. Commun. 176 121
9. Sandvik A W 2010 Phys. Rev. Lett. 104 137204
10. Farhi E, Goldstone J, Gutmann S, Lapan J, Lundgren A and Preda D 2001 Science 292 472
11. Lloyd S 2008 Science 319 1209
12. Porras D and Cirac J I 2004 Phys. Rev. Lett. 92 207901
13. Deng X L, Porras D and Cirac J I 2005 Phys. Rev. A 72 063407
14. Lamata L, Leon J, Schaetz T and Solano E 2007 Phys. Rev. Lett. 98 253005
15. Johanning M, Varon A F and Wunderlich C 2009 J. Phys. B: At. Mol. Opt. Phys. 42 154009
16. Friedenauer A, Schmitz H, Glueckert J T, Porras D and Schaetz T 2008 Nature Phys. 4 757-61
17. Kim K, Chang M S, Islam R, Korenblit S, Edwards E E, Freericks J K, Lin G D, Duan L M and Monroe C 2010 Nature 465 590
18. Edwards E E, Korenblit S, Kim K, Islam R, Chang M S, Freericks J K, Lin G D, Duan L M and Monroe C 2010 Phys. Rev. B 82 060412
19. Islam R et al 2011 Nature Commun. 2 377
20. Gerritsma R, Kirchmair G, Zaehringer F, Solano E, Blatt R and Roos C F 2010 Nature 463 68
21. Barreiro J T, Mueller M, Schindler P, Nigg D, Monz T, Chwalla M, Hennrich M, Roos C F, Zoller P and Blatt R 2011 Nature 470 486
22. Lewenstein M, Sanpera A, Ahufinger V, Damski B, Sen De A and Sen U 2007 Adv. Phys. 56 243
23. Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
24. Jo G B, Lee Y R, Choi J H, Christensen C A, Kim T H, Thywissen J H, Pritchard D E and Ketterle W 2009 Science 325 1521
25. Corcovilos T A, Baur S K, Hitchcock J M, Mueller E J and Hulet R G 2010 Phys. Rev. A 81 013415
26. Simon J, Bakr W S, Ma R, Tai M E, Preiss P M and Markus G 2011 Nature 472 307
27. Byrnes T, Kim N Y, Kusudo K and Yamamoto Y 2008 Phys. Rev. B 78 075320
28. Buluta I and Nori F 2009 Science 326 108
29. Garcia-Ripoll J J, Solano E and Martin-Delgado M A 2008 Phys. Rev. B 77 024522
30. Pritchett E J, Benjamin C, Galiautdinov A, Geller M R, Sornborger A T, Stancil P C and Martinis J M 2010 arXiv:quant-ph 1008.0701
31. Kim K, Chang M S, Islam R, Korenblit S, Duan L M and Monroe C 2009 Phys. Rev. Lett. 103 120502
32. Diep H T 2005 Frustrated Spin Systems (Singapore: World Scientific)
33. Sachdev S 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
34. Barahona F 1982 J. Phys. A: Math. Gen. 15 3241
35. Istrail S 2000 Proc. 32nd ACM Symp. on Theory of Computing (STOC00) (Portland, OR, May 2000) (New York: ACM) pp 87-96
36. Cipra B A 2000 SIAM News 33 no 6
37. Garey M R and Johnson D S 1979 Computers and Intractability: A Guide to the Theory of NP-Completeness (New York: Freeman)
38. Leibfried D, Blatt R, Monroe C and Wineland D 2003 Rev. Mod. Phys. 75 281-324
39. Wineland D and Blatt R 2008 Nature 453 1008-14
40. Häffner H, Roos C F and Blatt R 2008 Phys. Rep. 469 155
41. Fisk P T H, Sellars M J, Lawn M A, Coles C, Mann A G and Blair D G 1995 IEEE Trans. Instrum. Meas. 44 113
42. Olmschenk S, Younge K C, Moehring D L, Matsukevich D N, Maunz P and Monroe C 2007 Phys. Rev. A 76 052314
43. Landau L D and Lifshitz M D 1976 Course of Theoretical Physics 3rd edn (Portsmouth, NH: Heinemann)
44. Leibfried D et al 2003 Nature 422 412
45. Sørensen A and Mølmer K 2000 Phys. Rev. A 62 022311
46. Milburn G J, Schneider S and James D F V 2000 Fortschr. Phys. 48 801
47. Lee P J, Brickman K A, Deslauriers L, Haljan P C, Duan L M and Monroe C 2005 J. Opt. B 7 S371-83
48. Mølmer K and Sørensen A 1999 Phys. Rev. Lett. 82 1835
49. Solano E, de Matos Filho R L and Zagury N 1999 Phys. Rev. A 59 2539
50. Sackett C A et al 2000 Nature 404 256-9
51. Ospelkaus C, Langer C E, Amini J M, Brown K R, Leibfried D and Wineland D J 2008 Phys. Rev. Lett. 101 090502
52. Turchette Q, Kielpinski D, King B, Myatt C, Sackett C, Itano W, Monroe C and Wineland D 2000 Phys. Rev. A 61 063418
53. Wang L and Babikov D 2011 Phys. Rev. A 83 022305
54. Haljan P C, Brickman K A, Deslauriers L, Lee P J and Monroe C 2005 Phys. Rev. Lett. 94 153602
55. Haljan P C, Lee P J, Brickman K A, Acton M, Deslauriers L and Monroe C 2005 Phys. Rev. A 72 062316
56. James D F V 1998 Appl. Phys. B 66 181-90
57. Roos C F 2008 New J. Phys. 10 013002
58. Kim K, Roos C F, Aolita L, Häffner H, Nebendahl V and Blatt R 2008 Phys. Rev. A 77 050303
59. Deslauriers L, Haljan P C, Lee P J, Brickman K A, Blinov B B, Madsen M J and Monroe C 2004 Phys. Rev. A 70 043408
60. Lee P J, Blinov B B, Brickman K A, Deslauriers L, Madsen M, Miller R, Moehring D L, Stick D and Monroe C 2003 Opt. Lett. 28 1582
61. Schiff L I 1968 Quantum Mechanics 3rd edn (New York: McGraw-Hill)
62. Quan H T and Zurek W H 2010 New J. Phys. 12 093025
63. Lin G D, Monroe C and Duan L M 2011 Phys. Rev. Lett. 106 230402
64. Wannier G H 1950 Phys. Rev. 79 357
65. Harris M J, Bramwell S T, McMorrow D F, Zeiske T and Godfrey K W 1997 Phys. Rev. Lett. 79 2554
66. Bramwell S T and Gingras M J P 2001 Science 294 1495-501
67. Dawson C M and Nielsen M A 2004 Phys. Rev. A 69 052316
68. Normand B and Oles A M 2008 Phys. Rev. B 78 094427
69. Gühne O and Toth G 2009 Phys. Rep. 474 1
70. Schmitz H, Friedenauer A, Schneider C, Matjeschk R, Enderlein M, Huber T, Glueckert J, Porras D and Schaetz T 2009 Appl. Phys. B 95 195-203
71. Wang C C J and Freericks J 2010 arXiv:1003.5901
72. Caneva T, Fazio R and Santoro G E 2008 Phys. Rev. B 78 104426
73. Leibfried D et al 2005 Nature 438 639
74. Ozeri R et al 2007 Phys. Rev. A 75 042329
75. Hayes D, Matsukevich D N, Maunz P, Hucul D, Quraishi Q, Olmschenk S, Campbell W, Mizrahi J, Senko C and Monroe C 2010 Phys. Rev. Lett. 104 140501
76. CampbellWC, Mizrahi J, Quraishi Q, Senko C, Hayes D, Hucul D, Matsukevich D N, Maunz P and Monroe C 2010 Phys. Rev. Lett. 105 090502
77. Clark C R, Metodi T S, Gasster S D and Brown K R 2009 Phys. Rev. A 79 062314
78. Lin G D, Zhu S L, Islam R, Kim K, Chang M S, Korenblit S, Monroe C and Duan L M 2009 Europhys. Lett. 86 60004
79. Schmied R, Wesenberg J H and Leibfried D 2009 Phys. Rev. Lett. 102 233002
80. Clark R J, Lin T, Brown K R and Chuang I 2009 J. Appl. Phys. 105 013114
81. Han Y J, Raussendorf R and Duan L M 2007 Phys. Rev. Lett. 98 150404
82. Kitaev A 2003 Ann. Phys. 303 2-30
83. Nayak C, Simon S H, Stern A, Freedman M and Sarma S D 2008 Rev. Mod. Phys. 80 1083-159