Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 4, 2013, Pages

  Grusdt, F ^a,b   Fleischhauer, M ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE PARTICLES; CRYSTAL PHASE; FILLING FRACTIONS; INTERACTION POTENTIALS; PARTICLE DISTANCE; RYDBERG BLOCKADES; RYDBERG INTERACTION; WIGNER CRYSTALS;

GROUND STATE;

GAGES;

EID: 84877737645     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.043628     Document Type: Article

References (70)

1. B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52. 1583 52, 1583 (1984).
2. D. Arovas, J. R. Schrieffer, and F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.722 53, 722 (1984).
3. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
4. C. Nayak and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00430-0 479, 529 (1996). (Pubitemid 126161210)
5. P. Bonderson, V. Gurarie, and C. Nayak, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075303 83, 075303 (2011).
6. A. Y. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 303, 2 (2003). (Pubitemid 36177417)
7. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1083 80, 1083 (2008).
8. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. denNijs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.405 49, 405 (1982).
9. N. R. Cooper, N. K. Wilkin, and J. M. F. Gunn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.120405 87, 120405 (2001).
10. N. R. Cooper, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730802564122 57, 539 (2008).
11. A. L. Fetter, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.647 81, 647 (2009).
12. G. Juzeliunas and P. Ohberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.033602 93, 033602 (2004).
13. G. Juzeliunas, J. Ruseckas, P. Ohberg, and M. Fleischhauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.025602 73, 025602 (2006). (Pubitemid 43270208)
14. J. Dalibard, F. Gerbier, G. Juzeliunas, and P. Oehberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1523 83, 1523 (2011).
15. Y.-J. Lin, R. L. Compton, K. Jiménez-García, J. V. Porto, and I. B. Spielman, Nature (London) NATUAS 0028-0836 10.1038/nature08609 462, 628 (2009).
16. N. R. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106. 175301 106, 175301 (2011).
17. D. Jaksch and P. Zoller, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/356 5, 56 (2003).
18. M. Aidelsburger, M. Atala, S. Nascimbene, S. Trotzky, Y.-A. Chen, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.255301 107, 255301 (2011).
19. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.806 84, 806 (2000).
20. J. R. Abo-Shaeer, C. Raman, J. M. Vogels, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.1060182 292, 476 (2001).
21. V. Schweikhard, I. Coddington, P. Engels, V. P. Mogendorff, and E. A. Cornell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040404 92, 040404 (2004).
22. N. K. Wilkin, J. M. F. Gunn, and R. A. Smith, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2265 80, 2265 (1998).
23. N. R. Cooper and N. K. Wilkin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.60.R16279 60, R16279 (1999).
24. N. Regnault and T. Jolicoeur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.030402 91, 030402 (2003).
25. M. Saffman, T. G. Walker, and K. Molmer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.2313 82, 2313 (2010).
26. T. Peyronel, O. Firstenberg, Q.-Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, Nature (London) NATUAS 0028-0836 10.1038/nature11361 488, 57 (2012).
27. J. Otterbach, J. Ruseckas, R. G. Unanyan, G. Juzeliunas, and M. Fleischhauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.033903 104, 033903 (2010).
28. M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Nat. Phys. 1745-2473 10.1038/nphys2063 7, 907 (2011).
29. K. Osterloh, N. Barberan, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.160403 99, 160403 (2007). (Pubitemid 47608557)
30. M. A. Baranov, K. Osterloh, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.070404 94, 070404 (2005). (Pubitemid 40620699)
31. E. H. Rezayi, N. Read, and N. R. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.160404 95, 160404 (2005). (Pubitemid 41777406)
32. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
33. D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Cote, E. E. Eyler, and P. L. Gould, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.063001 93, 063001 (2004).
34. K. Singer, M. Reetz-Lamour, T. Amthor, L. G. Marcassa, and M. Weidemuller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.163001 93, 163001 (2004).
35. T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.083003 97, 083003 (2006). (Pubitemid 44286638)
36. R. Heidemann, U. Raitzsch, V. Bendkowsky, B. Butscher, R. Low, L. Santos, and T. Pfau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.163601 99, 163601 (2007). (Pubitemid 47587565)
37. R. Heidemann, U. Raitzsch, V. Bendkowsky, B. Butscher, R. Low, and T. Pfau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.033601 100, 033601 (2008). (Pubitemid 351159190)
38. M. Viteau, M. G. Bason, J. Radogostowicz, N. Malossi, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 107.060402 107, 060402 (2011).
39. A. Schwarzkopf, R. E. Sapiro, and G. Raithel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.103001 107, 103001 (2011).
40. N. Henkel, R. Nath, and T. Pohl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.195302 104, 195302 (2010).
41. J. E. Johnson and S. L. Rolston, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.033412 82, 033412 (2010).
42. J. Otterbach, R. G. Unanyan, and M. Fleischhauer (unpublished).
43. M. Hafezi, A. S. Sorensen, E. Demler, and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023613 76, 023613 (2007). (Pubitemid 47331054)
44. J. K. Jain, Composite Fermions (Cambridge University Press, Cambridge, 2007).
45. N. Henkel, F. Cinti, P. Jain, G. Pupillo, and T. Pohl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.265301 108, 265301 (2012).
46. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 51.605 51, 605 (1983).
47. V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.050403 92, 050403 (2004).
48. K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/2/021 38, S295 (2005). (Pubitemid 40178627)
49. K. Maki and X. Zotos, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.28. 4349 28, 4349 (1983).
50. P. K. Lam and S. M. Girvin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.30.473 30, 473 (1984).
51. M. A. Baranov, H. Fehrmann, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.200402 100, 200402 (2008). (Pubitemid 351718015)
52. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699114 21, 1087 (1953).
53. W. Pan, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.176802 88, 176802 (2002).
54. H. Fukuyama, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(76) 90064-8 19, 551 (1976).
55. Y. E. Lozovik and V. M. Farztdinov, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(85)90596-4 54, 725 (1985). (Pubitemid 15510878)
56. S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.33.2481 33, 2481 (1986).
57. R. K. Kamilla, X. G. Wu, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1332 76, 1332 (1996).
58. J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.199 63, 199 (1989).
59. H. M. Yi and H. A. Fertig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.58.4019 58, 4019 (1998).
60. C. C. Chang, G. S. Jeon, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.016809 94, 016809 (2005). (Pubitemid 40629829)
61. F. D. M. Haldane, in The Quantum Hall Effect, edited by, R. E. Prange, and, S. M. Girvin, (Springer, New York, 1990).
62. A. A. Koulakov, M. M. Fogler, and B. I. Shklovskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.499 76, 499 (1996).
63. N. R. Cooper, E. H. Rezayi, and S. H. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.200402 95, 200402 (2005). (Pubitemid 41777101)
64. N. Read and E. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59. 8084 59, 8084 (1999).
65. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.246802 100, 246802 (2008).
66. D. Green, Ph.D. thesis, Yale University, 2001.
67. N. d'Ambrumenil and R. Morf, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.40.6108 40, 6108 (1989).
68. B. A. Bernevig and N. Regnault, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.206801 103, 206801 (2009).
69. V. W. Scarola, K. Park, and J. K. Jain, Nature (London) NATUAS 0028-0836 10.1038/35022524 406, 863 (2000). (Pubitemid 30664255)
70. M. J. Rice and Y. R. Wang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.5893 37, 5893 (1988).