We investigate the behavior of dipolar bosons in a quasiperiodic optical lattice. The lack of periodicity frustrates the Bloch theorem, a cornerstone of solid-state physics, motivating the study of condensed matter theory in exotic geometries. Quasiperiodic confinement is explicitly known to generate phenomena akin to disorder, such as many-body localization and Bose-glass physics in interacting systems. On the other hand, the long-range nature of the dipolar interaction induces the formation of periodic patterns, providing one of the current platforms where experimentalists can generate the long-sought supersolid state, a quantum material combining crystalization and superfluidity. An intriguing and unexplored question naturally arises: What are the effects of frustration on the supersolid state? In our investigations, the quasiperiodic confinement frustrates the natural tendency of the dipolar system to form periodic patterns. Our results show a rich phase diagram displaying a triangular and a stripe supersolid state decorated by the external lattice, a super quasicrystal state displaying quasi-order and superfluidity, and a quasicrystalline Bose glass. Importantly, our analysis guides experimental implementations within the scope of current technological capabilities. This approach offers the potential to probe and explore these intriguing phases of matter, significantly enhancing our understanding of quantum systems in complex potentials.
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.133.196001