Visibility of ultra-cold Bose system in triangular optical lattices

TL;DR

This paper analytically calculates the momentum distribution and visibility of ultra-cold Bose systems in triangular optical lattices, showing qualitative agreement with experimental data using Green's function methods.

Contribution

It introduces an analytical approach to determine the momentum distribution and visibility in Bose-Hubbard systems on triangular lattices, expanding theoretical understanding.

Findings

Analytical expression for momentum distribution function.

Calculated visibility matches experimental observations qualitatively.

Green's function method effectively describes the system's properties.

Abstract

In this paper, by treating the hopping parameter in Bose-Hubbard model as a perturbation, with the help of the re-summed Green's function method and cumulants expansion, the momentum distribution function of the ultra-cold Bose system in triangular optical lattice is calculated analytically. By utilizing it, the time-of-flight absorption picture is plotted and the corresponding visibility is determined. The comparison between our analytical results and the experimental data from Ref.[4] exhibits a qualitative agreement.