Feshbach resonance and photoassociation in traps and optical lattices

激光冷却和稀薄原子蒸气中的玻色-爱因斯坦凝聚彻底改变了原子、分子和光学(AMO)物理学的面貌。PI在这些领域从事量子光学风格的理论已经有很长一段时间了。主要的兴趣在于简并费米气体中的费什巴赫共振。这一领域的可预见活动包括清理他的平均场理论(MFT)中的一些未解决的问题，例如研究在费什巴赫共振附近振荡的磁场中原子-分子的转换。新的贡献有望来自光学晶格系统的研究，考虑到由于Feshbach共振或光缔合引起的原子-分子转换。最后，在一个极具推测性的项目中，我们将深入探讨超普适概念，根据该概念，极强相互作用系统中的物理可能与玻色子和费米子相同。

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.