Signatures of the Many-body Localized Regime in Two Dimensions

Understand

Lessons from Anderson localization highlight the importance of dimensionality of real space for localization due to disorder.

• More recently, studies of many-body localization have focussed on the phenomenon in one dimension using techniques of exact diagonalization and tensor networks.
• On the other hand, experiments in two dimensions have provided concrete results going beyond the previously numerically accessible limits while posing several challenging questions.
• We present the first large-scale numerical examination of a disordered Bose-Hubbard model in two dimensions realized in cold atoms, which shows entanglement based signatures of many-body localization.