Towards a Bose glass transition in an optical Penrose quasicrystal

TL;DR

This paper investigates the transition to a Bose glass phase in a 2D Bose-Einstein condensate within a quasiperiodic optical lattice, analyzing how increasing potential leads to an insulating state with specific phase and superfluid properties.

Contribution

It provides a numerical study of the Bose glass transition in a quasicrystalline optical potential using Bogoliubov theory, highlighting the transition characteristics.

Findings

Approach to a gapless, insulating phase with increased potential

Identification of phase correlation and superfluid fraction changes

Evidence of Bose glass behavior in a quasiperiodic optical lattice

Abstract

We study numerically a 2D Bose-Einstein condensate in a quasiperiodic array of potential peaks, assumed to be generated by superimposing five blue detuned laser beams. By using a Bogoliubov ansatz for the excitations we show that the system approaches a gapless, insulating phase upon increasing the potential, consistent with a Bose glass phase. The characteristics of the transition in terms of phase correlations, oscillatory modes, and superfluid fraction are discussed.