Energy level statistics for models of coupled single-mode Bose-Einstein condensates

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 10, 2004, Pages

  Dahmen, Silvio R ^a   Links, Jon ^b   McKenzie, Ross H ^b   Zhou, Huan Qiang ^b  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Bose Einstein condensation (theory); quantum integrability (Bethe ansatz)

Indexed keywords

EID: 84901012285     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2004/10/P10019     Document Type: Article

References (20)

1. Wigner E P 1951 On the statistical distribution of the widths and spacings of nuclear resonance levels Proc. Camb. Phil. Soc. 47 790
2. Wigner E P 1955 Characteristic vectors of bordered matrices with infinite dimensions Ann. Math. 62 548
3. Forrester P J, Snaith N C and Verbaarschot J J M 2003 Developments in random matrix theory J. Phys. A: Math. Gen. 36 R1
4. Dyson F J 1962 Statistical theory of the energy levels of complex systems I J. Math. Phys. 3 140
5. Dyson F J 1962 Statistical theory of the energy levels of complex systems II J. Math. Phys. 3 157
6. Dyson F J 1962 Statistical theory of the energy levels of complex systems III J. Math. Phys. 3 166
7. Korepin V E, Bogoliubov N M and Izergin A G 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press)
8. Zhou H-Q, Links J, Gould M D and McKenzie R H 2003 Solvable models of Bose-Einstein condensates: a new algebraic Bethe ansatz scheme J. Math. Phys. 44 4690
9. Links J, Zhou H-Q, McKenzie R H and Gould M D 2003 Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins J. Phys. A: Math. Gen. 36 R63
10. Berry M V and Tabor M 1977 Level clustering in regular spectrum Proc. R. Soc. Lond. A 356 375
11. Poilblanc D, Ziman T, Bellissard J, Mila F and Montambaux G 1993 Poisson vs GOE statistics in integrable and nonintegrable quantum Hamiltonians Europhys. Lett. 22 537
12. Hsu T C and Anglès d'Auriac J-C 1993 Level repulsion in integrable and almost-integrable quantum spin models Phys. Rev. B 47 14291
13. Anglès d'Auriac J-C and Maillard J-M 2003 Random matrix theory in lattice statistical mechanics Physica A 321 325 and references therein
14. Bolte J, Steil G and Steiner F 1992 Arithmetical chaos and violation of universality in energy level statistics Phys. Rev. Lett. 69 2188
15. Kudo K and Deguchi T 2003 Level statistics of XXZ spins chains with a random magnetic field Phys. Rev. B 68 052510
16. Faas M, Simons B D, Zotos X and Altshuler B L 1993 Universality in the spectra of strongly correlated systems Phys. Rev. B 48 5439
17. Leggett A J 2001 Bose-Einstein condensation in the alkali gases: some fundamental concepts Rev. Mod. Phys. 73 307
18. Zhou H-Q, Links J, McKenzie R H and Guan X-W 2003 Exact results for a pair of tunnel-coupled Bose-Einstein condensates J. Phys. A: Math. Gen. 36 L113
19. Rybin A, Kastelewicz G, Timonen J and Bogoliubov N 1998 The su(1,1) Tavis-Cummings model J. Phys. A: Math. Gen. 31 4705
20. Walls D F and Barakat R 1970 Quantum-mechanical amplification and frequency conversion with a trilinear Hamiltonian Phys. Rev. A 1 446