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Lee, Yuan-Harng; Links, Jon; Zhang, Yao-Zhong (2011)
Languages: English
Types: Preprint
Subjects: Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory

Classified by OpenAIRE into

arxiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems
The quasi-Gaudin algebra was introduced to construct integrable systems which are only quasi-exactly solvable. Using a suitable representation of the quasi-Gaudin algebra, we obtain a class of bosonic models which exhibit this curious property. These models have the notable feature that they do not preserve U(1) symmetry, which is typically associated to a non-conservation of particle number. An exact solution for the eigenvalues within the quasi-exactly solvable sector is obtained via the algebraic Bethe ansatz formalism.
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    • [7] G. Ortiz, R. Somma, J. Dukelsky, and S. Rombouts, Nucl. Phys. B 707 (2005) 421-457
    • [8] A. Foerster and E. Ragoucy, Nucl. Phys. B 777 (2007) 373-403
    • [9] L. Amico, H. Frahm, A. Osterloh, and G.A.P. Ribeiro, Nucl. Phys. B 787 (2007) 283-300
    • [10] F. Pan, M.-X. Xie, X. Guan, L.-R. Dai, and J.P. Draayer, Phys. Rev. C 80 (2009) 044306
    • [11] L. Amico, H. Frahm, A. Osterloh, and T. Wirth, Nucl. Phys. B 839 (2010) 604-626
    • [12] M.T. Batchelor, A. Foerster, X.-W. Guan, and C.C.N. Kuhn, J. Stat. Mech.: Theor. Exp. (2010) P12014
    • [13] C. Dunning, M. Iban˜ez, J. Links, G. Sierra, and S.-Y. Zhao, J. Stat. Mech.: Theor. Exp. (2010) P08025
    • [14] Y.-H. Lee, J. Links, and Y.-Z. Zhang, Nonlinearity 24 (2011) 1975-1986
    • [15] M. Sanz, M.M. Wolf, D. P´erez-Garca, and J.I. Cirac, Phys. Rev. A 79 (2009) 042308
    • [16] S.H. Jacobsen and P.D. Jarvis, J. Phys. A: Math. Theor. 43 (2010) 255305
    • [17] A.J. Leggett, S. Chakravaty, A.T. Dorsey, M.P.A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59 (1987) 1-85
    • [18] Y. Makhlin, G. Scho¨n, and A. Shnirman, Rev. Mod. Phys. 73 (2001) 357-400
    • [19] J. Gilmore and R.H. McKenzie, J. Phys.: Condens. Matter 17 (2005) 17351746
    • [20] I. Tikhonenkov, E. Pazy, Y. B. Band, and A. Vardi, Phys. Rev. A 77 (2008) 063624
    • [21] J. Links, H.-Q. Zhou, R.H. McKenzie, and M.D. Gould, J. Phys. A: Math. Gen. 36 (2003) R63-R104
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