Theory for Dynamical Phenomena in Quantum Degenerate Gases

将调查四个广泛的主题。首先，当磁场扫过费什巴赫共振时，简并费米气体中的瞬态现象正在发展一种理论。其次，在玻色系统的相应研究将被重新审视，因为在理论和实验之间的比较中似乎仍然缺少一个定性的元素。第三，建立光学晶格中玻色子超流体-绝缘子跃迁的解析理论。第四，将进行原子、玻色子和费米子在光学晶格中的布拉格散射。

Four broad topics will be investigated. First, a theory is being developed for transient phenomena in a degenerate Fermi gas that ensue when the magnetic field is swept across a Feshbach resonance. Second, corresponding studies in Bose systems will be revisited as there appears to be a qualitative element still missing in the comparison between theory and experiments. Third, an analytic theory of the superfluid-insulator transition for bosons in an optical lattice will be constructed. Fourth, Bragg scattering of light from atoms, bosons and fermions, in an optical lattice will be undertaken.