Anyonic Bloch oscillations

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 16, 2012, Pages

  Longhi, Stefano ^a   Della Valle, Giuseppe ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84860473256     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.165144     Document Type: Article

References (59)

1. F. Bloch, Z. Phys. 52, 555 (1928);
2. C. Zener, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.1934.0116 145, 523 (1934).
3. C. Waschke, H. G. Roskos, R. Schwedler, K. Leo, H. Kurz, and K. Köhler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.3319 70, 3319 (1993);
4. K. Leo, Semicond. Sci. Technol. SSTEET 0268-1242 10.1088/0268-1242/13/3/ 003 13, 249 (1998).
5. M. BenDahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4508 76, 4508 (1996);
6. S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4512 76, 4512 (1996).
7. B. P. Anderson and M. A. Kasevich, Science SCIEAS 0036-8075 10.1126/science.282.5394.1686 282, 1686 (1998);
8. O. Morsch, J. H. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.140402 87, 140402 (2001); (Pubitemid 32962123)
9. G. Roati, E. de Mirandes, F. Ferlaino, H. Ott, G. Modugno, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.230402 92, 230402 (2004).
10. For recent reviews, see M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00142-4 366, 103 (2002);
11. A. R. Kolovsky and H. J. Korsch, Int. J. Mod. Phys. IJPBEV 0217-9792 10.1142/S0217979204024483 18, 1235 (2004).
12. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4756 83, 4756 (1999);
13. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4752 83, 4752 (1999);
14. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.023901 96, 023901 (2006); (Pubitemid 43248229)
15. N. Chiodo, G. Della Valle, R. Osellame, S. Longhi, G. Cerullo, R. Ramponi, P. Laporta, and U. Morgner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.31.001651 31, 1651 (2006); (Pubitemid 44014402)
16. H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Yu. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.053903 96, 053903 (2006). (Pubitemid 43270952)
17. R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.263902 91, 263902 (2003);
18. V. Agarwal, J. A. del Rio, G. Malpuech, M. Zamfirescu, A. Kavokin, D. Coquillat, D. Scalbert, M. Vladimirova, and B. Gil, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.097401 92, 097401 (2004).
19. H. Sanchis-Alepuz, Y. A. Kosevich, and J. Sanchez-Dehesa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.134301 98, 134301 (2007); (Pubitemid 46515836)
20. Z. He, S. Peng, F. Cai, M. Ke, and Z. Liu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.056605 76, 056605 (2007). (Pubitemid 350113082)
21. D. Cai, A. R. Bishop, N. Grønbech-Jensen, and M. Salerno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1186 74, 1186 (1995);
22. F. Dominguez-Adame, V. A. Malyshev, F. A. B. F. de Moura, and M. L. Lyra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.197402 91, 197402 (2003);
23. E. Diaz, F. Dominguez-Adame, Yu. A. Kosevich, and V. A. Malyshev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.174210 73, 174210 (2006); (Pubitemid 43815243)
24. F. A. B. F. de Moura, L. P. Viana, M. L. Lyra, V. A. Malyshev, and F. Dominguez-Adame, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2008.09.019 372, 6694 (2008);
25. T. Schulte, S. Drenkelforth, G. K. Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77. 023610 77, 023610 (2008); (Pubitemid 351220686)
26. S. Walter, D. Schneble, and A. C. Durst, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.033623 81, 033623 (2010);
27. S. Longhi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.195118 81, 195118 (2010);
28. C. Gaul, E. Diaz, R. P. A. Lima, F. Dominguez-Adame, and C. A. Müller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.053627 84, 053627 (2011).
29. M. Gustavsson, E. Haller, M. J. Mark, J. G. Danzl, G. Rojas-Kopeinig, and H.-C. Nägerl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 080404 100, 080404 (2008); (Pubitemid 351419060)
30. D. O. Krimer, R. Khomeriki, and S. Flach, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.036201 80, 036201 (2009);
31. C. Gaul, R. P. A. Lima, E. Diaz, C. A. Müller, and F. Dominguez-Adame, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102. 255303 102, 255303 (2009).
32. A. Buchleitner and A. R. Kolovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.253002 91, 253002 (2003);
33. A. R. Kolovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.015604 70, 015604 (2004).
34. J. K. Freericks, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.075109 77, 075109 (2008);
35. M. Eckstein and P. Werner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.186406 107, 186406 (2011).
36. F. Claro, J. F. Weisz, and S. Curilef, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.193101 67, 193101 (2003);
37. D. Souza and F. Claro, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82. 205437 82, 205437 (2010).
38. W. S. Dias, E. M. Nascimento, M. L. Lyra, and F. A. B. F. de Moura, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.155124 76, 155124 (2007);
39. W. S. Dias, M. L. Lyra, and F. A. B. F. de Moura, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2010.09.005 374, 4554 (2010).
40. R. Khomeriki, D. O. Krimer, M. Haque, and S. Flach, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.065601 81, 065601 (2010).
41. K. Kudo, T. Boness, and T. S. Monteiro, Phys Rev A PLRAAN 1050-2947 10.1103/PhysRevA.80.063409 80, 063409 (2009);
42. K. Kudo and T. S. Monteiro, Phys Rev A PLRAAN 1050-2947 10.1103/PhysRevA.83.053627 83, 053627 (2011).
43. J. Leinaas and J. Myrheim, Nuovo Cimento B NCIBAW 0369-3554 10.1007/BF02727953 37, 1 (1977);
44. F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1144 48, 1144 (1982);
45. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 67.937 67, 937 (1991).
46. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).
47. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983);
48. F. E. Camino, Wei Zhou, and V. J. Goldman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.075342 72, 075342 (2005); (Pubitemid 43406276)
49. S. Das Sarma, M. Freedman, and C. Nayak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.166802 94, 166802 (2005); (Pubitemid 40620334)
50. P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016803 96, 016803 (2006); (Pubitemid 43248386)
51. A. Stern and B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016802 96, 016802 (2006). (Pubitemid 43248385)
52. C. Vitoriano and M. D. Coutinho-Filho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.146404 102, 146404 (2009).
53. T. Keilmann, S. Lanzmich, I. McCulloch, and M. Roncaglia, Nat. Commun. 2041-1723 10.1038/ncomms1353 2, 361 (2011).
54. D. Jaksch and P. Zoller, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/356 5, 56 (2003).
55. 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)
56. A. R. Kolovsky, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/93/ 20003 93, 20003 (2011).
57. The first observation of such an exotic bound state, comprised of a pair of ultracold atoms in an optical lattice, was reported by K. Winkler, G. Thalhammer, F. Lang, R. Grimm, J. H. Denschlag, A. J. Daley, A. Kantian, H. P. Büchler, and P. Zoller, Nature (London) NATUAS 0028-0836 10.1038/nature04918 441, 853 (2006).
58. S. Longhi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.195326 77, 195326 (2008);
59. S. Longhi and G. Della Valle, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.004743 36, 4743 (2011).