Feshbach resonance and photoassociation in traps and optical lattices

激光冷却和稀原子蒸气中的玻色-爱因斯坦凝聚彻底改变了原子、分子和光学（AMO）物理的面貌。PI已经在这些领域从事量子光学风格的理论很长一段时间了。简并费米气体中的Feshbach共振是主要的研究兴趣。 在这一领域可以预见的活动包括清理他的平均场理论（MFT）中的一些松散的末端，例如在Feshbach共振附近振荡的磁场中的原子-分子转换的研究。新的贡献预计将来自光学晶格系统的研究，考虑到原子-分子转换由于Feshbach共振或光缔合。最后，在一个高度投机的项目中，我们将尝试超普适性的概念，根据这个概念，在极强相互作用系统中的物理学对于玻色子和费米子可能是相同的。

Laser cooling and Bose-Einstein condensation in dilute atomic vapors have completely changed the landscape of Atomic, Molecular and Optical (AMO) physics. The PI has been engaged in quantum-optics style theories in these areas for quite a while. Main interest has been the Feshbach resonance in degenerate Fermi gases. Foreseeable activity in this area includes cleaning up some loose ends in his mean field theory (MFT), such as an investigation of atom-molecule conversion in a magnetic field oscillating in the neighborhood of a Feshbach resonance. New contributions are expected to come from studies of optical-lattice systems, taking into account atom-molecule conversion due to either Feshbach resonance or photoassociation. Finally, in a highly speculative item, we will make forays into the notion of superuniversality, according to which the physics in extremely strongly interacting systems could be the same for bosons and fermions.