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

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Abstract

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.

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References

  1. Johnson, T. H., Clark, S. R., Jaksch, D.: EPJ Quantum Technology 1, 1 (2014)

    Article  Google Scholar 

  2. Buluta, I., Nori, F.: Science 326, 108 (2009)

    Article  ADS  Google Scholar 

  3. Jaksch, D., Bruder, C., Cirac, J., Gardiner, C., Zoller, P.: Phys. Rev. Lett. 81, 3108 (1998)

    Article  ADS  Google Scholar 

  4. Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., Bloch, I.: Nature 415, 39 (2002)

    Article  ADS  Google Scholar 

  5. Spielman, I. B., Phillips, W. D., Porto, J. V.: Phys. Rev. Lett. 98, 080404 (2007)

    Article  ADS  Google Scholar 

  6. Spielman, I. B., Phillips, W. D., Porto, J. V.: Phys. Rev. Lett. 100, 120402 (2008)

    Article  ADS  Google Scholar 

  7. Bloch, I., Jean, D., Wilhelm, Z.: Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  8. Jiang, L., Rey, A. M., Romero-isart, O., García-ripoll, J. J., Sanpera, A., Lukin, M. D.: Phys. Rev. A 79, 022309 (2009)

    Article  ADS  Google Scholar 

  9. Knap, M., Arrigoni, E., Linden, W. V. D.: Phys. Rev. B 81, 024301 (2010)

    Article  ADS  Google Scholar 

  10. Zhang, X. h., Kou, S. p.: Int. J. Mod. Phys. B 27(4), 1250214 (2013)

    Article  ADS  Google Scholar 

  11. Capogrosso-Sansone, B., Soyler, S. G., Prokof’ev, N., Svistunov, B.: Phys. Rev. A 77, 015602 (2008)

    Article  ADS  Google Scholar 

  12. Fisher, M. P. A., Weichman, P. B., Grinstein, G., Fisher, D. S.: Phys. Rev. B 40, 546 (1989)

    Article  ADS  Google Scholar 

  13. Nikolaev, S. V., Ovchinnikov, S. G.: J. Exp. Theor. Phys. 111(4), 635 (2010)

    Article  ADS  Google Scholar 

  14. Hubbard, J.: Proceedings of the Royal Society A Mathematical. Phys. Eng. Sci. 276, 238 (1963)

    Article  Google Scholar 

  15. Ovchinnikov, S., Val’kov, V.: Hubbard Operators in the Theory of Strongly Correlated Electrons. Imperial College Press, London (2004)

    Book  MATH  Google Scholar 

  16. Elstner, N., Monien, H.: Phys. Rev. B 59(9), 12184 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by RFBR grant 16-02-00098, Government of Krasnoyarsk Territory and RFBR according to the research projects 16-42-243048, 16-42-240511, and 16-42-240769, and the Russian President Grant NSh-7559.2016.2.

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Authors and Affiliations

  1. Siberian Federal University, Krasnoyarsk, 660041, Russia

    Kirill Kudashkin, Sergey Nikolaev & Sergey Ovchinnikov

  2. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia

    Sergey Nikolaev & Sergey Ovchinnikov

Authors
  1. Kirill Kudashkin
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  2. Sergey Nikolaev
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  3. Sergey Ovchinnikov
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Correspondence to Kirill Kudashkin.

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Kudashkin, K., Nikolaev, S. & Ovchinnikov, S. Spectral Properties of the Bose-Hubbard Model Within the Cluster Perturbation Theory in X-Operators Representation. J Supercond Nov Magn 30, 103–107 (2017). https://doi.org/10.1007/s10948-016-3781-y

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  • DOI: https://doi.org/10.1007/s10948-016-3781-y

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