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Journal of Low Temperature Physics

, Volume 194, Issue 1–2, pp 46–75 | Cite as

New Deep Superfluid Phases of Spin-1 Bosons in Optical Lattice

  • Aliaa G. Mohamed
  • M. F. Eissa
  • Mohamed MobarakEmail author
Article
  • 31 Downloads

Abstract

We analyse theoretically a spin-1 Bose gas loaded into a three-dimensional optical lattice in order to emerge different superfluid phases with external magnetic field. To achieve this, we generalize the mean-field perturbation theory up to the sixth hopping order for the underlying spin-1 Bose–Hubbard model. Our results indicate that the condensate density can be valid deep in the superfluid phase in comparison with that of the fourth hopping order. At zero temperature, new deep superfluid phases for an anti-ferromagnetic interaction are determined in the presence of the external magnetic field. Moreover, we find the second-order quantum phase transition between Mott insulator and superfluid phase for both ferromagnetic and anti-ferromagnetic interactions. Within the anti-ferromagnetic interaction, the transitions between respective superfluid phases can be of the first order.

Keywords

Spinor Bose gas Bose–Hubbard model Superfluid–Mott- insulator transition Optical lattice 

Notes

Acknowledgements

Support and Project Finance Office of Beni-Suef University is greatly appreciated for the financial support of this work.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Aliaa G. Mohamed
    • 1
  • M. F. Eissa
    • 1
  • Mohamed Mobarak
    • 1
    Email author
  1. 1.Department of Physics, Faculty of ScienceBeni-Suef UniversityBeni SuefEgypt

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