Towards a Holographic Bose-Hubbard Model

Understand

We present a holographic construction of the large-N Bose-Hubbard model.

• The model is based on Maxwell fields coupled to charged scalar fields on the AdS2 hard wall.
• We realize the lobe-shaped phase structure of the Bose-Hubbard model and find that the model admits Mott insulator ground states in the limit of large Coulomb repulsion.
• In the Mott insulator phases, the bosons are localized on each site.