Dynamic response of trapped ultracold bosons on optical lattices
G.G. Batrouni, F.F. Assaad, R.T. Scalettar, P.J.H. Denteneer

TL;DR
This paper investigates the dynamic behavior of ultracold bosons in one-dimensional optical lattices, revealing inhomogeneous states with coexisting phases and providing new insights into local quantum criticality and experimental spectra.
Contribution
It introduces Quantum Monte Carlo simulations to study the inhomogeneous dynamic response, highlighting coexistence of Mott insulator and superfluid regions in trapped bosons.
Findings
Inhomogeneous low temperature states with coexisting phases
Evidence for local quantum criticality
Insights into 87Rb atom excitation spectra
Abstract
We study the dynamic response of ultracold bosons trapped in one-dimensional optical lattices using Quantum Monte Carlo simulations of the boson Hubbard model with a confining potential. The dynamic structure factor reveals the inhomogeneous nature of the low temperature state, which contains coexisting Mott insulator and superfluid regions. We present new evidence for local quantum criticality and shed new light on the experimental excitation spectrum of 87Rb atoms confined in one dimension.
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