Quantum Transport in Optical Lattices

本课题主要研究超冷原子在光学晶格中的量子输运，特别是在混合相空间、台球和准周期晶格中的量子输运，以及许多体相互作用和退相干的影响。一些项目包括探索：1)混合相空间中时变势中的量子混沌，2)量子台球中的量子混沌，3)一维和二维准周期晶格中的输运，4)强相互作用区域的绝热击穿，5)经典相空间中局部结构对噪声和耗散的敏感性。

This research project focuses on the study, both experimentally and theoretically, of quantum transport of ultra-cold atoms in optical lattices, in particular, in mixed phase space, in billiards, and in quasi-periodic lattices, as well as the effects of many body interactions and decoherence. Some of the projects include probing: 1) quantum chaos in time-dependent potentials in a regime of mixed phase space, 2) quantum chaos in the quantum billiard, 3) transport in quasi-periodic lattices in one and two dimensions, 4) breakdown of adiabaticity in the region of strong interactions, and 5) the sensitivity to noise and dissipation for local structures in classical phase space.