Coupled two-component atomic gas in an optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 6, 2008, Pages

  Larson, Jonas ^a   Martikainen, Jani Petri ^a  

^a NORDITA   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ATOMS; CRYSTAL LATTICES; FERMIONS; OPTICAL MATERIALS; PARTICLE OPTICS; SURFACE STRUCTURE; THREE DIMENSIONAL;

AB INITIO STUDIES; ATOMIC ENERGIES; ATOMIC GASSES; BRILLOUIN ZONES; CRITICAL VALUES; DISPERSION CURVES; ENERGY BANDS; LATTICE POTENTIALS; LEVEL STRUCTURES; NONZERO TEMPERATURES; OPTICAL LATTICES; RESONANCE CONDITIONS; SYSTEM PARAMETERS; ULTRACOLD ATOMS;

PHASE TRANSITIONS;

EID: 58149150078     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.063618     Document Type: Article

References (52)

1. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998). 10.1103/PhysRevLett.81.3108
2. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002). 10.1038/415039a
3. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen, and U. Sen, Adv. Phys. 56, 243 (2007). 10.1080/00018730701223200
4. B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. 91, 080403 (2003); 10.1103/PhysRevLett.91.080403
5. U. Gavish and Y. Castin, Phys. Rev. Lett. 95, 020401 (2005); 10.1103/PhysRevLett.95.020401
6. B. Juliette, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, e-print arXiv:0804.1621;
7. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, and M. Inguscio, Nature (London) 453, 895 (2008). 10.1038/nature07071
8. L. Santos, M. A. Baranov, J. I. Cirac, H. U. Everts, H. Fehrmann, and M. Lewenstein, Phys. Rev. Lett. 93, 030601 (2004); 10.1103/PhysRevLett.93.030601
9. S. Wessel and M. Troyer, Phys. Rev. Lett. 95, 127205 (2005). 10.1103/PhysRevLett.95.127205
10. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Schlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) 429, 277 (2004). 10.1038/nature02530
11. A. S. Sørensen, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 94, 086803 (2005); 10.1103/PhysRevLett.94.086803
12. R. N. Palmer and D. Jaksch, Phys. Rev. Lett. 96, 180407 (2006). 10.1103/PhysRevLett.96.180407
13. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001); 10.1103/PhysRevLett.86.5188
14. I. H. Deutsch, G. K. Brennen, and P. S. Jessen, Fortschr. Phys. 48, 925 (2000). 10.1002/1521-3978(200009)48:9/11<925::AID-PROP925>3.0.CO;2-A
15. E. Demler and F. Zhou, Phys. Rev. Lett. 88, 163001 (2002); 10.1103/PhysRevLett.88.163001
16. A. Imambekov, M. Lukin, and E. Demler, Phys. Rev. A 68, 063602 (2003); 10.1103/PhysRevA.68.063602
17. F. Zhou and M. Snoek, Ann. Phys. 3008, 692 (2003);
18. J. J. Garcia-Ripoll, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. Lett. 93, 250405 (2004); 10.1103/PhysRevLett.93.250405
19. T. Kimura, S. Tsuchiya, and S. Kurihara, Phys. Rev. Lett. 94, 110403 (2005); 10.1103/PhysRevLett.94.110403
20. R. V. Pai, K. Sheshadri, and R. Pandit, Phys. Rev. B 77, 014503 (2008). 10.1103/PhysRevB.77.014503
21. A. Albus, F. Illuminati, and J. Eisert, Phys. Rev. A 68, 023606 (2003); 10.1103/PhysRevA.68.023606
22. H. P. Buchler and G. Blatter, Phys. Rev. Lett. 91, 130404 (2003); 10.1103/PhysRevLett.91.130404
23. M. Lewenstein, L. Santos, M. A. Baranov, and H. Fehrmann, Phys. Rev. Lett. 92, 050401 (2004); 10.1103/PhysRevLett.92.050401
24. K. Gunter, T. Stoferle, H. Moritz, M. Kohl, and T. Esslinger, Phys. Rev. Lett. 96, 180402 (2006). 10.1103/PhysRevLett.96.180402
25. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2006).
26. K. V. Krutitsky and R. Graham, Phys. Rev. Lett. 91, 240406 (2003). 10.1103/PhysRevLett.91.240406
27. K. V. Krutitsky and R. Graham, Phys. Rev. A 70, 063610 (2004); 10.1103/PhysRevA.70.063610
28. K. V. Krutitsky, M. Timmer, and R. Graham, Phys. Rev. A 71, 033623 (2005). 10.1103/PhysRevA.71.033623
29. J. J. Garcìa-Ripoll and J. K. Pachos, New J. Phys. 9, 139 (2007); 10.1088/1367-2630/9/5/139
30. M. Eckholt and J. J. Garcìa-Ripoll, Phys. Rev. A 77, 063603 (2008). 10.1103/PhysRevA.77.063603
31. G. E. Volovik, Quantum Analogs: From Phase Transition to Black Holes and Cosmology (Springer-Verlag, Berlin, 2007), pp. 31-73;
32. G. E. Volovik, Acta Phys. Slov. 56, 049 (2005).
33. M. J. P. Gingras and D. A. Huse, Phys. Rev. B 53, 15193 (1996); 10.1103/PhysRevB.53.15193
34. B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Science 314, 1757 (2006); 10.1126/science.1133734
35. H. Watanabe and M. Ogata, Phys. Rev. Lett. 99, 136401 (2007); 10.1103/PhysRevLett.99.136401
36. N. Doiron-Leyraud, C. Proust, D. Lebouf, J. Levallois, J. B. Bonnemaison, R. X. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature (London) 447, 565 (2007). 10.1038/nature05872
37. R. W. Cherng and C. A. R. Sá de Melo, e-print arXiv:0808.1426.
38. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, Natl. Bur. Stand. Appl. Math. Ser. No. 55 (U.S. GPO, Washington, D.C., 1972).
39. D. Wang, T. Hansson, Å. Larson, H. O. Karlsson, and J. Larson, Phys. Rev. A 77, 053808 (2008). 10.1103/PhysRevA.77.053808
40. W. Ren and H. J. Carmichael, Phys. Rev. A 51, 752 (1995). 10.1103/PhysRevA.51.752
41. J. Larson, J. Salo, and S. Stenholm, Phys. Rev. A 72, 013814 (2005). 10.1103/PhysRevA.72.013814
42. J. Larson and S. Stenholm, Phys. Rev. A 73, 033805 (2006). 10.1103/PhysRevA.73.033805
43. A. S. Davydov, Quantum Mechanics, 2nd ed. (Pergamon, Oxford, 1976).
44. J. Larson, Phys. Rev. A 73, 013823 (2006). 10.1103/PhysRevA.73.013823
45. N. W. Ashcraft and D. Mermin, Solid State Physics (Harcourt, Brace College, Fort Worth, TX, 1976).
46. Y. K. Wang and F. T. Hioe, Phys. Rev. A 7, 831 (1973); 10.1103/PhysRevA.7.831
47. K. Hepp and E. H. Lieb, Ann. Phys. 76, 360 (1973); 10.1016/0003-4916(73) 90039-0
48. C. Emary and T. Brandes, Phys. Rev. Lett. 90, 044101 (2003); 10.1103/PhysRevLett.90.044101
49. F. Dimer, B. Estienne, A. S. Parkins, and H. J. Carmichael, Phys. Rev. A 75, 013804 (2007). 10.1103/PhysRevA.75.013804
50. B. Wu, R. B. Diener, and Q. Niu, Phys. Rev. A 65, 025601 (2002); 10.1103/PhysRevA.65.025601
51. M. Machholm, C. J. Pethick, and H. Smith, Phys. Rev. A 67, 053613 (2003). 10.1103/PhysRevA.67.053613
52. M. Alexanian and S. K. Bose, Phys. Rev. A 52, 2218 (1995). 10.1103/PhysRevA.52.2218