Bose-Einstein Condensates near Two-Dimensional Dirac Quantum Matter*

We show that the presence of two-dimensional (2D) Dirac materials, such as Graphene, can significantly affect quantum atomic phenomena that have traditionally served as probes of the fundamental van der Waals (VDW) / Casimir interaction. Attractive VDW potential tails between atoms and 2D materials are very strongly dependent on material characteristics (such as band structure, doping level, etc). We analyze theoretically manifestations of such 2D effects for atoms forming a confined Bose-Einstein condensate (BEC) placed near 2D materials, which in turn makes the BEC frequency sensitive to the material presence. We find that relatively small 2D material changes (either by external factors such as strain or doping, or by using gapped 2D materials instead of graphene) can have profound effect on the trapping frequency of an atomic BEC condensate. In addition to atoms interacting with graphene in various configurations we have analyzed the 2D family of semiconducting dichalcogenides. These phenomena make 2D quantum materials an attractive platform for studies of many-body physics involving atoms near solid state environments.