Canonical trajectories and critical coupling of the Bose-Hubbard Hamiltonian in a harmonic trap

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 2, 2008, Pages

  Batrouni, G G ^a   Krishnamurthy, H R ^b,c   Mahmud, K W ^b   Rousseau, V G ^d   Scalettar, R T ^b  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c INDIAN INSTITUTE OF SCIENCE   (India)

^d UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CLARIFICATION; HAMILTONIANS; PHASE DIAGRAMS;

BOSE-HUBBARD HAMILTONIAN; CONSTANT PARTICLE NUMBER; CRITICAL COUPLING; DENSITY PROFILES; HARMONIC TRAPPING; LOCAL-DENSITY APPROXIMATION; MOTT INSULATOR; QUANTUM MONTE CARLO;

TRAJECTORIES;

EID: 50249133705     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.023627     Document Type: Article

References (20)

1. 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).
2. G. G. Batrouni, R. T. Scalettar, and G. T. Zimanyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1765 65, 1765 (1990).
3. N. V. Prokof'ev and B. V. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4355 80, 4355 (1998).
4. J. K. Freericks and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.2691 53, 2691 (1996).
5. T. D. Kühner and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R14741 58, R14741 (1998).
6. T. D. Kühner, S. R. White, and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.012474 61, 12474 (2000).
7. B. Capogrosso-Sansone, S. G. Soyler, N. Prokofev, and B. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.015602 77, 015602 (2008).
8. 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).
9. I. B. Spielman, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.120402 100, 120402 (2008).
10. G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.117203 89, 117203 (2002).
11. F. Gerbier, A. Widera, S. Folling, O. Mandel, T. Gericke, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.050404 95, 050404 (2005);
12. F. Gerbier, A. Widera, S. Folling, O. Mandel, T. Gericke, and I. Bloch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.053606 72, 053606 (2005).
13. P. Sengupta, M. Rigol, G. G. Batrouni, P. J. H. Denteneer, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.220402 95, 220402 (2005).
14. S. Bergkvist, P. Henelius, and A. Rosengren, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053601 70, 053601 (2004).
15. M. Rigol and A. Muramatsu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053612 69, 053612 (2004);
16. M. Rigol and A. Muramatsu, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2004.10.040 243, 33 (2004).
17. J. E. Hirsch, R. L. Sugar, D. J. Scalapino, and R. Blankenbecler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.26.5033 26, 5033 (1982).
18. B. B. Beard and U. J. Wiese, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5130 77, 5130 (1996).
19. N. V. Prokof'ev, B. V. Svistunov, and I. S. Tupitsyn, JETP Lett. JTPLA2 0021-3640 64, 911 (1996).
20. S. M. A. Rombouts, K. Van Houcke, and L. Pollet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.180603 96, 180603 (2006).