Cold atoms in non-abelian gauge potentials: From the hofstadter "moth" to lattice gauge theory

Physical Review Letters

Volumn 95, Issue 1, 2005, Pages

  Osterloh, K ^a   Baig, M ^b   Santos, L ^c   Zoller, P ^d   Lewenstein, M ^a,e  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^c UNIVERSITY OF STUTTGART   (Germany)

^d UNIVERSITY OF INNSBRUCK   (Austria)

^e ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COLD ATOMS; HOFSTADTER BUTTERFLY SPECTRUM; LATTICE GAUGE THEORY; NON-ABELIAN GAUGE POTENTIALS;

CRYSTAL LATTICES; ELECTRON TUNNELING; INTERFEROMETRY; MOLECULAR DYNAMICS; OPTICAL MATERIALS;

GAGES;

EID: 27144502377     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.010403     Document Type: Article

References (26)

1. N.K. Wilkin and J.M.F. Gunn, Phys. Rev. Lett. 84, 6 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.6
2. B. Paredes, P. Fedichev, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 010402 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.010402
3. P. Rosenbusch, Phys. Rev. Lett. 88, 250403 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.250403
4. V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Phys. Rev. Lett. 92, 050403 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.050403
5. V. Schweikhard, Phys. Rev. Lett. 92, 040404 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.040404
6. In this context, rotating dipolar gases are particularly promising; see M.A. Baranov, K. Osterloh, and M. Lewenstein, Phys. Rev. Lett. 94, 070404 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.070404
7. G. Juzeliunas and P. Öhberg, Phys. Rev. Lett. 93, 033602 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.033602
8. D. Jaksch and P. Zoller, New J. Phys. 5, 56 (2003). NJOPFM 1367-2630 10.1088/1367-2630/5/1/356
9. E.J. Mueller, Phys. Rev. A PLRAAN 1050-2947 70, 041603 (2004). 10.1103/PhysRevA.70.041603
10. A.S. Sorensen, E. Demler, and M.D. Lukin, Phys. Rev. Lett. 94, 086803 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.086803
11. D.R. Hofstadter, Phys. Rev. B PLRBAQ 0556-2805 14, 2239 (1976). 10.1103/PhysRevB.14.2239
12. J. Ruostekoski, G.V. Dunne, and J. Javanainen, Phys. Rev. Lett. 88, 180401 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.180401
13. W.V. Liu, F. Wilczek, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 70, 033603 (2004). 10.1103/PhysRevA.70.033603
14. I. Montvay and G. Münster, Quantum Fields on a Lattice (Cambridge University Press, Cambridge, 1994);
15. H.J. Rothe, Lattice Gauge Theories (World Scientific, Singapore, 1998).
16. Theory and Detection of Magnetic Monopoles in Gauge Theories, edited by, N. Craigie, (World Scientific, Singapore, 1986).
17. For monopoles in BEC, see H.T.C. Stoof, E. Vliegen, and U. Al Khawaja, Phys. Rev. Lett. 87, 120407 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87. 120407
18. A. Shapere and F. Wilczek, Geometric Phases in Physics (World Scientific, Singapore, 1989).
19. P.G. Harper, Proc. Phys. Soc. London, Sect. A PPSAAM 0370-1298 68, 874 (1955). 10.1088/0370-1298/68/10/304
20. M. Engelhardt, Nucl. Phys. B (Proc. Suppl.) NPBSE7 0920-5632 140, 92 (2005); 10.1016/j.nuclphysbps.2004.11.335
21. M. Baig and J. Colet, Phys. Lett. B 176, 149 (1986); PYLBAJ 0370-2693 10.1016/0370-2693(86)90941-X
22. J. Greensite, Prog. Part. Nucl. Phys. 51, 1 (2003). PPNPDB 0146-6410 10.1016/S0146-6410(03)90012-3
23. For a good pedagogical review, see H. Schulz, hep-ph/0008239.
24. S. Deser, R. Jackiw, and S. Templeton, Ann. Phys. (N.Y.) APNYA6 0003-4916 140, 372 (1982). 10.1016/0003-4916(82)90164-6
25. D. Karabali, C. Kim, and V.P. Nair, Nucl. Phys. NUPBBO 0550-3213 B524, 661 (1998). 10.1016/S0550-3213(98)00309-5
26. J. Ruseckas, G. Juzeliunas, P. Öhberg, and M. Fleischhauer, following Letter, Phys. Rev. Lett. 95, 010404 (2005). PRLTAO 0031-9007