Current algebra for a generalized two-site Bose-Hubbard model
Resumo
the quantum dynamics of the currents. For different choices of the Hamiltonian parameters we get
different currents dynamics. We generalize the Heisenberg equation of motion to write the n-th time
derivative of any operator.
Texto completo:
PDFReferências
J. R. Anglin and W. Ketterle, Nature 416 (2002) 211.
M. H. Anderson, J. R. Ensher, M. R. Mathews, C. E.
Wieman and E. A. Cornell, Science 269 (1995) 198.
J. Williams, R. Walser, J. Cooper, E. A. Cornell and M.
Holland, Phys. Rev. A 61 (2000) 033612.
S. N. Bose, Z. Phys. 26 (1924) 178.
A. Einstein, Phys. Math. K1 22 (1924) 261.
C. A. Sackett, C. C. Bradley, M.Welling and R. G. Hulet,
Braz. Jour. Phys. 27 no. 2 (1997) 154.
F. Dalfovo, S. Giorgini, L. P. Pitaevskii and S. Stringari,
Rev. Mod. Phys. 71 (1999) 463.
A. J. Leggett, Rev. Mod. Phys. 73 (2001) 307.
P. W. Courteille, V. S. Bagnato and V. I. Yukalov, Laser
Phys. 11 (2001) 659.
E. A. Cornell and C. E. Wieman, Rev. Mod. Phys. 74
(2002) 875.
E. A. Donley, N. R. Claussen, S. T. Thompson and C. E.
Wieman, Nature 417 (2002) 529.
A. F. R. T. Piza, Braz. Jour. Phys. 34 n. 3B (2004) 1102.
I. Bloch, J. Dalibard and W. Zwerger, Rev. Mod. Phys.
(2008) 875.
I. Bloch, Nature Physics 1 (2005) 23.
M. Endres, et al, Science 334 (2011) 200.
I. Bloch, Nature 453 (2008) 1016.
F. S. Cataliotti, et al, Science 293 (2001) 843.
B. D. Esry and C. H. Greene, Nature 440 (2006) 289.
T. Kraemer, et al, Nature 440 (2006) 315.
M. Greiner and S. F¨olling, Nature 453 (2008) 736.
J. Est`eve, et al, Nature 455 (2008) 1216.
M. F. Riedel, et al, Nature 464 (2010) 1170.
T. Kinoshita, T. Wenger and D. S. Weiss, Nature 440
(2006) 900.
T. Lahaye, et al, Nature 448 (2007) 672.
S. Inouye, et al, Nature 392 (1998) 151.
I. Carusotto and C. Ciuti, Rev. Mod. Phys. 85 (2013)
M. R. Andrews, C. G. Townsend, H.-J. Miesner, D. S.
Durfee, D. M. Kurn andW. Ketterle, Science 275 (1997)
Y. Shin, M. Saba, T. A. Pasquini, W. Ketterle, D. E.
Pritchard and A. E. Leanhardt, Phys. Rev. Lett. 92
(2004) 050405.
M. Albiez, et al, Phys. Rev. Lett. 95 (2005) 010402.
T. Zibold, et al, Phys. Rev. Lett. 105 (2010) 204101.
R. Gati, et al, Appl. Phys. B 82 (2006) 207.
S. Levy, E. Lahoud, I. Shomroni and J. Steinhauer, Na-
ture 449 (2007) 579.
S. F¨olling, et al, Nature 448 (2007) 1029.
B. D. Josephson, Phys. Lett. 1 (1962) 251.
B. D. Josephson, Rev. Mod. Phys. 46 (1974) 251.
G. J. Milburn, J. Corney, E. M. Wright and D. F. Walls,
Phys. Rev. A 55 (1997) 4318.
J. Javanainen, Phys. Rev. Lett. 57 (1986) 3164.
I. Zapata, F. Sols and A. J. Leggett, Phys. Rev. A 57
(1998) R28(R).
A. P. Hines, R. H. McKenzie and G. J. Milburn, Phys.
Rev. A 67 (2003) 013609.
A. P. Tonel, J. Links and A. Foerster, J. Phys. A: Math.
Gen. 38 (2005) 6879.
A. P. Tonel, J. Links and A. Foerster, J. Phys. A: Math.
Gen. 38 (2005) 1235.
A. P. Hines, R. H. McKenzie and G. J. Milburn, Phys.
Rev. A 71 (2005) 042303.
Qi Zhou and Das Sarma, Phis. Rev. A 82 (2010)
(R).
G. Santos, A. Tonel, A. Foerster and J. Links, Phys. Rev.
A 73 (2006) 023609.
A. P. Tonel, C. C. N. Kuhn, G. Santos, A. Foerster, I.
Roditi and Z. V. T. Santos, Phys. Rev. A 79 (2009)
G. Santos, A. Foerster, J. Links, E. Mattei and S. R.
Dahmen, Phys. Rev. A 81 (2010) 063621.
C. Gross, J. Phys. B: At. Mol. Opt. Phys. 45 (2012)
(20pp).
G. Santos, A. Foerster, I. Roditi, Z. V. T. Santos and
A. P. Tonel, J. Phys. A: Math. Theor. 41 (2008) 295003
(9pp).
G. Santos, J. Phys. A: Math. Theor. 44 (2011) 345003.
G. Santos, A. Foerster and I. Roditi, J. Phys. A: Math.
Theor. 46 (2013) 265206 (12pp).
J. Links and H.-Q. Zhou, Lett. Math. Phys. 60 (2002)
J. Links, H.-Q. Zhou, R. H. McKenzie and M. D. Gould,
J. Phys. A: Math. Gen. 36 (2003) R63.
J. Links and K. E. Hibberd, SIGMA 2 (2006) 095 (8pp).
A. Foerster, J. Links and H.-Q. Zhou, in: Classical and
quantum nonlinear integrable systems: theory and appli-
cations, edited by A. Kundu (Institute of Physics Publishing,
Bristol and Philadelphia, 2003) pp 208–233.
A. P. Tonel and L. H. Ymai, J. Phys. A: Math. Theor.
(2013) 125202 (14pp).
J. Links, A. Foerster, A. P. Tonel and G. Santos, Ann.
Henri Poincar´e 7 (2006) 1591.
D. Rubeni, A. Foerster, E. Mattei and I. Roditi, Nuc.
Phys. B 856 (2012) 698.
G. Santos, C. Ahn, A. Foerster and I. Roditi, Phys. Lett.
B 746 (2015) 186.
J. Links and I. Marquette, J. Phys. A: Math. Theor. 48
(2015) 045204 (15pp).
D. R. Dounas-Frazer, A. M. Hermundstad and L. D.
Carr, Phis. Rev. Lett. 99 (2007) 200402.
Santos Filho, G, N., Current algebra for the two-site
Bose-Hubbard model, arXiv:1505.06793 [cond-mat.quantgas].
Apontamentos
- Não há apontamentos.