Number Statistics of Ultracold Bosons in Optical Lattice

TL;DR

This paper investigates the number fluctuations of ultracold bosons in optical lattices using slave particle methods and quantum Monte Carlo simulations, aligning theoretical predictions with experimental observations.

Contribution

It applies slave particle techniques and quantum Monte Carlo simulations to analyze number statistics near phase transitions in ultracold bosonic systems, providing new insights and validation against experiments.

Findings

Qualitative agreement with experimental number fluctuation data

Consistent results for homogeneous Bose-Hubbard model near phase transition

Agreement between simulations and experiments in trapped 1D systems

Abstract

We study the number statistics of ultracold bosons in optical Lattice using the slave particle technique and quantum Monte Carlo simulations. For homogeneous Bose-Hubbard model, we use the slave particle technique to obtain the number statistics near the superfluid to normal-liquid phase transition. The qualitatively behavior agree with the recent experiment probing number fluctuation [Phys. Rev. Lett. \textbf{96}, 090401 (2006)]. We also perform quantum Monte Carlo simulations to 1D system with external harmonic trap. The results qualitatively agree with the experiments.