Quantum phase diagrams and time-of-flight pictures of spin-1 Bose systems in honeycomb optical lattices

ZHANG Jun; JIANG Ying

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Quantum phase diagrams and time-of-flight pictures of spin-1 Bose systems in honeycomb optical lattices

ZHANG Jun 1 #,JIANG Ying 2 *

1.Department of Physics, Shanghai University, Shanghai 200444

2.Department of Physics, Shanghai University, Shanghai 200444;Shanghai Key Laboratory of High Temperature Superconductors, Shanghai 200444

*Correspondence author

#Submitted by

Subject:

Funding: Shanghai Key Laboratory of High Temperature Superconductors （No.14DZ2260700）, Ph.D. Programs Foundation of Ministry of Education of China （No.20123108110004）, National Natural Science Foundation of China （No.11275119）

Opened online: 7 June 2016

Accepted by: none

Citation: ZHANG Jun,JIANG Ying.Quantum phase diagrams and time-of-flight pictures of spin-1 Bose systems in honeycomb optical lattices[OL]. [ 7 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4695212

By treating the hopping parameter as a perturbation, with the help of cumulant expansion and the re-summing technique, the one-particle Green's function of a spin-1 Bose system in a honeycomb optical lattice is calculated analytically. By the use of the re-summed Green's function, the quantum phase diagrams of the system in ferromagnetic cases as well as in antiferromagnetic cases are determined. It is found that in antiferromagnetic cases the Mott insulating states with even filling factor are more robust against the hopping parameter than that with odd filling factor, in agreement with results via other different approaches. Moreover, in order to illustrate the effectiveness of the re-summed Green's function method in calculating time-of-flight pictures, the momentum distribution function of honeycomb lattice spin-1 Bose system in antiferromagnetic case is also calculated analytically and the corresponding time-of-flight absorption pictures are plotted.

Keywords:Condensed matter physics, Bose-Einstein condensates, quantum gases in optical lattices, quantum phase transition

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