Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 6, 2006, Pages

  Hiller, Moritz ^a,b,c   Kottos, Tsampikos ^a,b   Geisel, T ^b,c  

^a WESLEYAN UNIVERSITY   (United States)

^b MPI for Dynamics and Self Organization   (Germany)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES; QUANTUM THEORY; STRUCTURAL ANALYSIS;

CHAOTIC BOSE-HUBBARD HAMILTONIANS; COUPLING STRENGTH; EIGENSTATES; SEMICLASSICAL METHODS;

HAMILTONIANS;

EID: 33745307954     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.061604     Document Type: Article

References (46)

1. M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002);
2. D. Jaksch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
3. M. Joyeux, Adv. Chem. Phys. ADCPAA 0065-2385 130, 267 (2005);
4. K. Lehmann, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev. physchem.45.1.241 45, 241 (1994).
5. M. Sato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.044102 90, 044102 (2003).
6. E. Trías, J. J. Mazo, and T. P. Orlando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.741 84, 741 (2000);
7. P. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.745 84, 745 (2000).
8. R. Franzosi, V. Penna, and R. Zecchina, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979200001011 14, 943 (2000).
9. A. C. Scott, P. S. Lomdahl, and J. C. Eilbeck, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(85)85006-5 113, 29 (1985);
10. A. C. Scott and J. C. Eilbeck, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(86)80687-X 132, 23 (1986);
11. A. C. Scott, L. Bernstein, and J. C. Eilbeck, J. Biol. Phys. JBPHBZ 0092-0606 10.1007/BF00393323 17, 1 (1989).
12. A. Smerzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4950 79, 4950 (1997);
13. S. Raghavan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.620 59, 620 (1999).
14. J. Reichel, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s003400200861 74, 469 (2002).
15. M. Albiez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 010402 95, 010402 (2005).
16. J. C. Eilbeck, P. S. Lomdahl, and A. C. Scott, Physica D PDNPDT 0167-2789 10.1016/0167-2789(85)90012-0 16, 318 (1985);
17. E. Wright, Physica D PDNPDT 0167-2789 10.1016/0167-2789(93)90178-4 69, 18 (1993).
18. G. P. Tsironis and V. M. Kenkre, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)90104-1 127, 209 (1988);
19. V. M. Kenkre and G. P. Tsironis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.1473 35, 1473 (1987);
20. V. M. Kenkre and D. K. Campbell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.4959 34, R4959 (1986).
21. L. Bernstein, J. Eilbeck, and A. Scott, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/3/2/004 3, 293 (1990);
22. S. Aubry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1607 76, 1607 (1996).
23. G. Kalosakas, A. R. Bishop, and V. M. Kenkre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023602 68, 023602 (2003);
24. G. Kalosakas and A. R. Bishop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043616 65, 043616 (2002);
25. G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.4318 55, 4318 (1997).
26. J. C. Eilbeck, G. P. Tsironis, and S. K. Turitsyn, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/52/4/007 52, 386 (1995);
27. D. Hennig, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.2870 51, 2870 (1995).
28. R. Franzosi and V. Penna, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.013601 65, 013601 (2002);
29. R. Franzosi and V. Penna, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046227 67, 046227 (2003).
30. L. Casetti, M. Pettini, and E. G. D. Cohen, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00069-7 337, 237 (2000).
31. S. de Filippo, M. Fusco Girard, and M. Salerno, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/2/3/007 2, 477 (1989);
32. A. Chefles, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/15/021 29, 4515 (1996);
33. S. Flach and V. Fleurov, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/9/33/007 9, 7039 (1997).
34. K. Nemoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.013604 63, 013604 (2000).
35. A. R. Kolovsky and A. Buchleitner, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10265-7 68, 632 (2004).
36. M. Hiller, Ann. Phys. ANPYA2 0003-3804 312, 1025 (2006).
37. M. Feingold and A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.591 34, 591 (1986).
38. E. Wigner, Ann. Math. ANMAAH 0003-486X 10.2307/1970079 62, 548 (1955);
39. E. Wigner, Ann. Math. ANMAAH 0003-486X 10.2307/1969956 65, 203 (1957);
40. Y. V. Fyodorov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76. 1603 76, 1603 (1996).
41. D. Cohen and E. J. Heller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2841 84, 2841 (2000);
42. A. Barnett, D. Cohen, and E. J. Heller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1412 85, 1412 (2000);
43. D. Cohen, Ann. Phys. ANPYA2 0003-3804 283, 175 (2000).
44. J. A. Méndez-Bermúdez, T. Kottos, and D. Cohen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.027201 72, 027201 (2005);
45. D. Cohen and T. Kottos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.036203 63, 036203 (2001).
46. W. Zwerger, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/5/2/352 5, S9 (2003).