Waterlike anomalies in the Bose–Hubbard model

Abstract

Although well-researched as a prototype Hamiltonian for strongly interacting quantum systems, the Bose–Hubbard model has not so far been explored as a fluid system with waterlike anomalies. In this work we show that this model supports, in the limit of a strongly localizing confining potential, density anomalies which can be traced back to ground state (zero-temperature) phase transitions between different Mott insulators.