Exactly solvable models for multiatomic molecular Bose-Einstein condensates

G. Santos

Resumo


Abstract:  I introduce two family of exactly solvable models for multiatomic heteronuclear
and homo-nuclear molecular Bose-Einstein condensates through the algebraic
Bethe ansatz method. The conserved quantities of the respective models are also
showed.

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Referências


Referência:

E. A. Cornell and C. E. Wieman, Rev. Mod. Phys. 74 (2002) 875.

J. R. Anglin and W. Ketterle, Nature 416 (2002) 211.

P. Zoller, Nature 417 (2002) 493.

S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn andW. Ketterle, Nature 392 (1998) 151.

T. Kohler, K. Goral, and P. S. Julienne, Rev. Mod. Phys. 78 (2006) 1311.

Cheng Chin, Rudolf Grimm, Paul Julienne and Eite Tiesinga, Rev. Mod. Phys. 82, (2010) 1225.

K. M. Jones, E. Tiesinga, P. D. Lett, and P. S. Julienne, Rev. Mod. Phys. 78 (2006) 483.

C. R. Menegatti, B. S. Marangoni and L. G. Marcassa, Laser Physics 18 (2008) 1305.

J. Herbig et al, Science 301 (2003) 1510.

S. Durr et al, Phys. Rev. Lett. 92 (2004) 020406.

C. Chin, T. Kraemer, M. Mark, J. Herbig, P. Waldburger, H.-C. N¨agerl and R. Grimm, Phys. Rev. Lett. 94 (2005) 123201.

E. A. Donley, N. R. Claussen, S. T. Thompson, and C. E. Wieman, Nature 417, (2002) 529.

B. Damski, L. Santos, E. Tiemann, M. Lewenstein, S. Kotochigova,

P. Julienne, and P. Zoller, Phys. Rev. Lett. 90 (2003) 110401.

M.W. Mancini, G. D. Telles, A. R. L. Caires, V. S. Bagnato and L. G. Marcassa, Phys. Rev. Lett. 92 (2004) 133203.

C. Haimberger, J. Kleinert, M. Bhattacharya and N. P. Bigelow, Phys. Rev. A 70 (2004) 021402(R).

J. M. Sage, S. Sainis, T. Bergeman, and D. DeMille, Phys. Rev. Lett. 94 (2005) 203001.

S. B. Papp and C. E. Wieman, Phys. Rev. Lett. 97 (2006) 180404.

C. Weber, G. Barontini, J. Catani, G. Thalhammer, M. Inguscio and F. Minardi, Phys. Rev. A 78 (2008) 061601R.

K. Pilch, A. D. Lange, A. Prantner, G. Kerner, F. Ferlaino, H.-C. N¨agerl and R. Grimm, Phys. Rev. A 79 (2009) 042718.

E. Braaten, H.-W. Hammer, Annals of Physics 322 (2007) 120.

B. D. Esry and C. Greene, Nature 440 (2006) 289.

T. Kraemer, M. Mark, P. Waldburger, J. G. Danzl, C. Chin, B. Engeser, A. D. Lange, K. Pilch, A. Jaakkola, H.-C. Nagerl, R. Grimm, Nature 440 (2006) 315.

S. Knoop, F. Ferlaino, M. Berninger, M. Mark, H.-C. N¨agerl and R. Grimm, Journal of Physics: Conf. Ser. 194 (2009) 012064.

F. Ferlaino, S. Knoop, M. Berninger, W. Harm, J. P. D’Incao, H.-C. N¨agerl and R. Grimm, Phys. Rev. Lett. 102 (2009) 140401.

G. Barontini, C.Weber, F. Rabatti, J. Catani, G. Thalhammer, M. Inguscio and F. Minardi, Phys. Rev. Lett. 103 (2009) 043201.

H.-Q. Zhou, J. Links, M. Gould and R. McKenzie, J. Math. Phys. 44 (2003) 4690.

H.-Q. Zhou, J. Links, R. H. McKenzie, Int. Jour. Mod. Phys. B 17 (2003) 5819.

J. Links, H.-Q. Zhou, R. H. McKenzie and M. D. Gould, J. Phys. A 36 (2003) R63.

A. Foerster, J. Links, H.-Q. Zhou, in Classical and quantum nonlinear integrable systems: theory and applications, edited by A. Kundu (IOP Publishing, Bristol and Philadelphia, 2003) pp.

-233.

J. Dukelsky, G. Dussel, C. Esebbag and S. Pittel, Phys. Rev. Lett. 93 (2004) 050403.

G. Ortiz, R. Somma, J. Dukelsky and S. Rombouls, Nuclear Physics B 707 (2005) 421.

A. Kundu, Theoretical and Mathematical Physics 151 (2007) 831.

A. Foerster and E. Ragoucy, Nuclear Physics B 777 (2007) 373.

Jon Links, Angela Foerster, Arlei Prestes Tonel and Gilberto Santos, Ann. Henri Poincar´e 7(2006) 1591.

G. Santos, A. Foerster, I. Roditi, Z. V. T. Santos and A. P. Tonel, J. Phys. A: Math. Theor. 41 (2008) 295003.

G. Santos, A. Tonel, A. Foerster and J. Links, Phys. Rev. A 73 (2006) 023609.

G. Santos, A. Foerster, J. Links, E. Mattei and S. R. Dahmen, Phys. Rev. A 73 (2010) 023609.

A. P. Tonel, C. C. N. Kuhn, G. Santos, A. Foerster, I. Roditi and Z. V. T. Santos, Phys. Rev. A 79 (2009) 013624.

L. Zhou, W. Zhang, H. Y. Ling, L. Jiang, and H. Pu, Phys. Rev. A 75 (2007) 043603.

L. Zhou, J. Qian, H. Pu, W. Zhang, and H. Y. Ling, Phys. Rev. A 78 (2008) 053612.

A. Vardi, V. A. Yurovsky and J. R. Anglin, Phys. Rev. A 64 (2001) 063611.

M. Duncan, A. Foerster, J. Links, E. Mattei, N. Oelkers and A. Tonel, Nuclear Physics B 767 [FS] (2007) 227.

M. H´eritier, Nature 414 (2001) 31.

M. T. Batchelor, Physics Today 60 (2007) 36.

L. D. Faddeev, E. K. Sklyanin and L. A. Takhtajan, Theor. Math. Phys. 40 (1979) 194.

P. P. Kulish and E. K. Sklyanin, Lect. Notes Phys. 151 (1982) 61.

L. A. Takhtajan, Lect. Notes Phys. 370 (1990) 3.

V. E. Korepin, N. M. Bogoliubov and A. G. Izergin, Quantum inverse scattering method and

correlation functions (Cambridge University Press, Cambridge, 1993).

L. D. Faddeev, Int. J. Mod. Phys. A 10 (1995) 1845.

A. G. Izergin and V. E. Korepin, Lett. Math. Phys. 6 (1982) 283.

A. G. Izergin and V. E. Korepin, Nuc. Phys. B 205 (1982) 401.

F. H. L. Essler and V. E. Korepin (eds.) Exactly solvable models of strongly correlated electrons (World Scientific, Singapore, 1994).

Fabian H. L. Essler, Holger Frahm, Frank G¨ohmann, Andreas Kl¨umper and Vladimir E. Korepin, The one-dimensional Hubbard Model (Cambridge University Press, Cambridge, 2005).

V. Bazhanov, S. Lukyanov and A. B. Zamolodchikov, Commun. Math. Phys. 177 (1996) 381.

M. Jimbo, Lett. Math. Phys. 10 (1985) 63.

M. Jimbo, Lect. Notes Phys. 246 (1986) 335.

V. G. Drinfeld, Quantum groups Proc. Int. Congress of Mathematicians ed A M Gleason

(Providence, RI: American Mathematical Society) (1986) 798.

N. Yu Reshetikhin, L. A. Takhtajan and L. D. Faddeev, Leningrad Math. J. 1 (1990) 193.

L. D. Faddeev, 40 Years in Mathematical Physics World Scientific Series in 20th Century

Mathematics, vol. 2, (World Scientific Publishing Co. Pte. Ltd., Singapore, 1995).

T. Goli´nski, M. Horowski, A. Odzijewicz, A. Sli ˙zewska, Jour. Math. Phys. 48 (2007) 023508.

I. Roditi, Brazilian Journal of Physics 30 (2000) 357.


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