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One-dimensional Bose-Hubbard model is studied in detail. Soliton solutions in infinite space is presented, The elliptic function wave solutions and its nenergy and effective mass are also found under the periodic boundary condition.
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Keywords:
- Bose-Hubbard model /
- elliptic function waves /
- soliton excitations
[1] Bruder C, Rosario Fazio, Gerd Schon 1993 Phys. Rev. B 7 342
[2] van Otterlo A, Wagenblast K H, Baltin R, Bruder C, Fazio R, Schon G 1995 Phys. Rev. B 52 16176
[3] Krauth W, Trivedi N, Ceperley D, 1998 Phys. Rev. Lett. 67 2307
[4] Fisher M P A, Weichman P B, Grinstein G, Fisher D S 1989 Phys. Rev. B 40, 546
[5] Jaksch D, Bruder C, Cirac J I, GardineW, Zoller P 1998 Phys. Rev. Lett. 81 3108
[6] Sias C, Lignier H, Singh Y P, Zenesini A, Ciampini D, Morsch O, Arimondo E 2008 Phys. Rev. Lett. 100 040404
[7] Xie Z W, Zhang W, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[8] Xie Y D 2009 Commun. Theor. Phys. 51 445
[9] Xie Y D 2007 Chinese Journal of Quantum Electronics 24 492
[10] Chen H, Chen Y 2000 Phys. Stat. Sol. 217 847
[11] Chen H, Chen Y 1999 J. Phys. A: Math. Gen. 32 647
[12] Greenhill A G 1959 The applications of Elliptic Functions, (Dover Pub. New York)
[13] Byrd P F, Friedman M D 1954 Handbook of Elliptic Integrals for Engineers and Physicists (Springer Verlag, Berlin)
[14] Mahan G 1990 Many-Particle Physics, 2nd ed (Plenum Press, New York) p52
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[1] Bruder C, Rosario Fazio, Gerd Schon 1993 Phys. Rev. B 7 342
[2] van Otterlo A, Wagenblast K H, Baltin R, Bruder C, Fazio R, Schon G 1995 Phys. Rev. B 52 16176
[3] Krauth W, Trivedi N, Ceperley D, 1998 Phys. Rev. Lett. 67 2307
[4] Fisher M P A, Weichman P B, Grinstein G, Fisher D S 1989 Phys. Rev. B 40, 546
[5] Jaksch D, Bruder C, Cirac J I, GardineW, Zoller P 1998 Phys. Rev. Lett. 81 3108
[6] Sias C, Lignier H, Singh Y P, Zenesini A, Ciampini D, Morsch O, Arimondo E 2008 Phys. Rev. Lett. 100 040404
[7] Xie Z W, Zhang W, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[8] Xie Y D 2009 Commun. Theor. Phys. 51 445
[9] Xie Y D 2007 Chinese Journal of Quantum Electronics 24 492
[10] Chen H, Chen Y 2000 Phys. Stat. Sol. 217 847
[11] Chen H, Chen Y 1999 J. Phys. A: Math. Gen. 32 647
[12] Greenhill A G 1959 The applications of Elliptic Functions, (Dover Pub. New York)
[13] Byrd P F, Friedman M D 1954 Handbook of Elliptic Integrals for Engineers and Physicists (Springer Verlag, Berlin)
[14] Mahan G 1990 Many-Particle Physics, 2nd ed (Plenum Press, New York) p52
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