Quantum Transport in Optical Lattices

本计画将研究超冷原子在光晶格中的量子输运。 一维驻波将被组合以在一维、二维和三维空间中形成周期性和准周期性光学晶格，并且将施加时间依赖的振幅和相位。 基本问题将得到解决，在原子物理学，凝聚态物理学和非线性动力学中发挥重要作用。 这些包括尺寸上的动力学本地化的作用，动力学离域的退相干破坏，量子隧穿和疤痕的影响，在不同的潜在威尔斯，原子的空间扩散和运输的冷原子束的能级之间的共振隧穿，和拓扑量子数。

This project will study quantum transport of ultra-cold atoms in optical lattices. One dimensional-standing waves will be combined to form periodic and quasi-periodic optical lattices in one, two, and three spatial dimensions, and time- dependent amplitudes and phases will be imposed. Fundamental problems will be addressed which play important roles in atomic physics, condensed matter physics, and nonlinear dynamics. These include the role of dimensionally on dynamical localization, destruction of dynamical delocalization by decoherence, effects of quantum tunneling and scars, resonant tunneling between energy levels in different potential wells, spatial spread of atoms and transport of a cold beam of atoms, and topological quantum numbers.