Abstract

In this paper the extended Bose–Hubbard model describing ultracold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to the only relevant parameter controlled experimentally—the depth of the optical potential. Changes in the shape of the insulating lobe in the phase diagram of the system are explored and the value of the critical tunneling for which the system undergoes the phase transition (from the insulating to the superfluid phase) is predicted. It is shown that the value of the critical tunneling is substantially affected by the presence of the tunnelings to distant sites of the optical lattice. The results may have some importance in upcoming experiments on quantum quench through phase transition points.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices

Artur Barasiński, Wiesław Leoński, and Tomasz Sowiński
J. Opt. Soc. Am. B 31(8) 1845-1852 (2014)

Directly probing the Chern number of the Haldane model in optical lattices

Rui-Bin Liu, Dong-Ling Deng, Dan-Wei Zhang, and Shi-Liang Zhu
J. Opt. Soc. Am. B 32(12) 2500-2506 (2015)

Quantum phases of Bose-Fermi mixtures in optical lattices

H. Fehrmann, M. Baranov, M. Lewenstein, and L. Santos
Opt. Express 12(1) 55-68 (2004)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (11)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription