Dynamics of the superfluids to Mott-insulator transition in one dimension

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 4, 2004, Pages

  Clark, S R ^a   Jaksch, D ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ELECTRIC INSULATORS; FUNCTIONS; GAS CONDENSATES; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; PHASE TRANSITIONS; QUANTUM THEORY;

BOSE-HUBBARD MODEL (BHM); BOSONIC ATOMS; MOTT INSULATOR TRANSITION; OPTICAL LATTICES;

FLUID DYNAMICS;

EID: 19744375073     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.043612     Document Type: Article

References (50)

1. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
2. T. Støferle, H. Moritz, C. Schori, M. Køhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
3. S. Peil, J. V. Porto, B. L. Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A 67, 051603 (2003).
4. S. E. Sklarz, I. Friedler, D. J. Tannor, Y. B. Band, and C. J. Williams, Phys. Rev. A 66, 053620 (2002).
5. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
6. D. Jaksch, H. J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 82, 1975 (1999).
7. H. J. Briegel, T. Calarco, D. Jaksch, J. I. Cirac, and P. Zoller, J. Mod. Opt. 47, 415 (2000).
8. J. K. Pachos and P. L. Knight, Phys. Rev. Lett. 91, 107902 (2003).
9. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hänsch, and I. Bloch, Nature (London) 425, 937 (2003).
10. U. Dorner, P. Fedichev, D. Jaksch, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. 91, 073601 (2003).
11. G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, Phys. Rev. Lett. 82, 1060 (1999).
12. D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, Phys. Rev. Lett. 85, 2208 (2000).
13. E. Jane, G. Vidal, W. Dür, P. Zoller, and J. I. Cirac, Quantum Inf. Comput. 3, 15 (2003).
14. A. Sörensen and K. Mölmer, Phys. Rev. Lett. 83, 2274 (1999).
15. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).
16. H. P. Büchler, G. Blatter, and W. Zwerger, Phys. Rev. Lett. 90, 130401 (2003).
17. D. Jaksch, V. Venturi, J. I. Cirac, C. J. Williams, and P. Zoller, Phys. Rev. Lett. 89, 040402 (2002).
18. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. 22, 257 (1993).
19. J. K. Freericks and H. Monien, Europhys. Lett. 26, 545 (1994).
20. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003).
21. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004).
22. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech: Theor. Exp P04005 (2004).
23. B. Parades, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) 429, 277 (2004).
24. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
25. S. R. White, Phys. Rev. B 48, 10345 (1993).
26. E. Jeckelmann, Phys. Rev. B 66, 045114 (2002).
27. M. A. Cazalilla and J. B. Marston, Phys. Rev. Lett. 88, 256403 (2002); 91, 049702 (2003).
28. M. A. Cazalilla and J. B. Marston, Phys. Rev. Lett. 88, 256403 (2002); 91, 049702 (2003).
29. H. G. Luo, T. Xiang, and X. Q. Wang, Phys. Rev. Lett. 91, 049701 (2003).
30. S. R. White and A. E. Feiguin, e-print cond-mat/0403310.
31. M. Fannes, B. Nachtergaele, and R. F. Werner, Commun. Math. Phys. 144, 3 (1992).
32. S. Östlund and S. Rommer, Phys. Rev. Lett. 75, 3537 (1995).
33. W. Krauth, M. Caffarel, and J. P. Bouchaud, Phys. Rev. B 45, 3137 (1992).
34. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A 63, 053601 (2001).
35. M. Suzuki, Phys. Lett. A 146, 6 (1990); J. Math. Phys. 32, 2 (1991).
36. M. Suzuki, Phys. Lett. A 146, 6 (1990); J. Math. Phys. 32, 2 (1991).
37. M. Zwolak and G. Vidal, e-print cond-mat/0406440.
38. F. Verstraete, J. J. Garía-Ripoll, and J. I. Cirac, e-print cond-mat/0406426.
39. C. Schroll, F. Marquardt, and C. Bruder, e-print cond-mat/0404576.
40. G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, Phys. Rev. Lett. 89, 117203 (2002).
41. S. Bergkvist, P. Henelius, and A. Rosengren, e-print cond-mat/0404395.
42. C. Kollath, U. Schollwöck, J. von Delft, and W. Zwerger, Phys. Rev. A 69, 031601(R) (2004).
43. V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. A 66, 031601 (2002).
44. S. Wessel, F. Alet, M. Troyer, and G. G. Batrouni, e-print cond-mat/0404552.
45. L. Pollet, S. Rombouts, K. Heyde, and J. Dukelsky, Phys. Rev. A 69, 043601 (2004).
46. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
47. R. Roth and K. Burnett, Phys. Rev. A 67, 031602 (2003).
48. tunnel=π/2J. This is physically motivated by considering the time required for one atom, within a double-well potential, to hop from one well to another, given a tunneling matrix element J.
49. To define a time scale for hopping across half the lattice, when J varies in time, some appropriate value must be chosen to represent its typical value during the ramping.
50. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2001).