Ultracold bosons in disordered superlattices: Mott insulators induced by tunneling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 4, 2008, Pages

  Muth, D ^a   Mering, A ^a   Fleischhauer, M ^a  

^a University of Koblenz Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTRON TUNNELING; PHASE DIAGRAMS; SUPERLATTICES;

MOTT INSULATORS; ULTRACOLD BOSONS;

BOSONS;

EID: 42249097719     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.043618     Document Type: Article

References (26)

1. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
2. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
3. L. Santos, M. A. Baranov, J. I. Cirac, H.-U. Everts, H. Fehrmann, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.030601 93, 030601 (2004).
4. S. Peil, J. V. Porto, B. Laburthe Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.051603 67, 051603 (R) (2003).
5. V. G. Rousseau, M. Rigol, F. Hébert, D. P. Arovas, G. G. Batrouni, and R. T. Scalettar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.174516 73, 174516 (2006).
6. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003).
7. P. Buonsante and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033608 70, 033608 (R) (2004).
8. P. Buonsante, V. Penna, and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.061603 70, 061603 (R) (2004)
9. P. Buonsante, V. Penna, and A. Vezzani, Laser Phys. 15, 361 (2005). 1054-660X
10. P. Buonsante and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013614 72, 013614 (2005).
11. L. Fallani, J. E. Lye, V. Guarrera, C. Fort, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.130404 98, 130404 (2007).
12. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
13. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201 98, 070201 (2007).
14. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005).
15. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.546 40, 546 (1989).
16. P. Buonsante, V. Penna and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.031602 72, 031602 (R) (2005).
17. Throughout the paper we set ε=0.005.
18. A. Mering and M. Fleischhauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.023601 77, 023601 (2008).
19. J. K. Freericks and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.2691 53, 2691 (1996).
20. Calculating the tip of a lobe is in general numerically expensive.
21. F. Verstraete and J. I. Cirac, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.094423 73, 094423 (2006).
22. The vectors λ [k] have all to be kept separately in order to not lose information about the canonical form of the state.
23. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
24. M. Suzuki, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(90)90962-N 146, 319 (1990).
25. R. Orus and G. Vidal, e-print arXiv:0711.3960.
26. Y.-Y. Shi, L.-M. Duan, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022320 74, 022320 (2006).