Spectral Properties of the Bose-Hubbard Model Within the Cluster Perturbation Theory in X-Operators Representation

Springer Science and Business Media LLC - Tập 30 - Trang 103-107 - 2016
Kirill Kudashkin1, Sergey Nikolaev1,2, Sergey Ovchinnikov1,2
1Siberian Federal University, Krasnoyarsk, Russia
2Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia

Tóm tắt

We study the two-dimensional ultracold Bose gas in optical lattice. We use cluster perturbation theory based on Hubbard X-operators to calculate the spectral function and phase diagram of Bose-Hubbard model which is minimal model to describe behavior of ultracold gases in optical lattices. We have analyzed spectral properties of spinless bosons in a square lattice taking into account the short-range correlation.

Tài liệu tham khảo

Johnson, T. H., Clark, S. R., Jaksch, D.: EPJ Quantum Technology 1, 1 (2014) Buluta, I., Nori, F.: Science 326, 108 (2009) Jaksch, D., Bruder, C., Cirac, J., Gardiner, C., Zoller, P.: Phys. Rev. Lett. 81, 3108 (1998) Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., Bloch, I.: Nature 415, 39 (2002) Spielman, I. B., Phillips, W. D., Porto, J. V.: Phys. Rev. Lett. 98, 080404 (2007) Spielman, I. B., Phillips, W. D., Porto, J. V.: Phys. Rev. Lett. 100, 120402 (2008) Bloch, I., Jean, D., Wilhelm, Z.: Rev. Mod. Phys. 80, 885 (2008) Jiang, L., Rey, A. M., Romero-isart, O., García-ripoll, J. J., Sanpera, A., Lukin, M. D.: Phys. Rev. A 79, 022309 (2009) Knap, M., Arrigoni, E., Linden, W. V. D.: Phys. Rev. B 81, 024301 (2010) Zhang, X. h., Kou, S. p.: Int. J. Mod. Phys. B 27(4), 1250214 (2013) Capogrosso-Sansone, B., Soyler, S. G., Prokof’ev, N., Svistunov, B.: Phys. Rev. A 77, 015602 (2008) Fisher, M. P. A., Weichman, P. B., Grinstein, G., Fisher, D. S.: Phys. Rev. B 40, 546 (1989) Nikolaev, S. V., Ovchinnikov, S. G.: J. Exp. Theor. Phys. 111(4), 635 (2010) Hubbard, J.: Proceedings of the Royal Society A Mathematical. Phys. Eng. Sci. 276, 238 (1963) Ovchinnikov, S., Val’kov, V.: Hubbard Operators in the Theory of Strongly Correlated Electrons. Imperial College Press, London (2004) Elstner, N., Monien, H.: Phys. Rev. B 59(9), 12184 (1999)