Quantum simulation of quasicrystals with ultracold quantum gases: The Bose side

Quasicrystals, an exotic class of materials with long-range but nonperiodic order,exhibit fascinating properties due to their unique position at the crossroads of longrange-ordered and disordered systems. These include remarkable localization andfractal properties. Quantum simulation of quasicrystals in synthetic bosonic matternow paves the way to the exploration of these intriguing systems in wide parameterranges.

This talk will review recent progress in the field of quantum simulation ofquasicrystals with ultracold-atom gases. Particular attention will be paid to theemergence of the still-elusive Bose glass phase. Previously, clear observation of thisemblematic phase has been thwarted by thermal fluctuations, which compete withquasi-disorder.

But recent work shows that the use of shallow quasicrystal potentialspermits to overcome this pitfall, and Bose glass phases can be stabilized in broadtemperature regimes, in 1D as well as 2D. Theoretical aspects and experimentalperspectives will be discussed.