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

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)

Probing quantum phase transition point by tuning an external anti trap

Libo Liang, Yuqing Wang, Qi Huang, Qinpei Zheng, Xuzong Chen, and Jiazhong Hu
Opt. Express 31(10) 16743-16753 (2023)

Time reversal in an optical lattice

Fernando M. Cucchietti
J. Opt. Soc. Am. B 27(6) A30-A35 (2010)

Variational ansatz for the superfluid Mott-insulator transition in optical lattices

J. J. García-Ripoll, J. I. Cirac, P. Zoller, C. Kollath, U. Schollwöck, and J. von Delft
Opt. Express 12(1) 42-54 (2004)

Simulating the Bose–Hubbard model with a one-dimensional cavity optomechanical system

Da-Wei Wang, Shi-Lei Chao, Cheng-Song Zhao, Zhen Yang, and Ling Zhou
J. Opt. Soc. Am. B 38(12) 3811-3817 (2021)