Theory for Dynamical Phenomena in Quantum Degenerate Gases

将研究四个广泛的主题。首先，一个理论正在发展中的瞬态现象，在一个退化的费米气体，随之而来的磁场被扫过Feshbach共振。 第二，相应的玻色系统的研究将被重新审视，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，建立了光晶格中玻色子的超流-绝缘体转变的解析理论。第四，布拉格散射的光从原子，玻色子和费米子，在一个光学晶格将进行。

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.