Quantum Transport in Optical Lattices

本项目将研究超冷原子在光学晶格中的量子输运。一维驻波将在一维、二维和三维空间中组合形成周期和准周期光学晶格，并施加与时间相关的振幅和相位。将讨论在原子物理、凝聚态物理和非线性动力学中起重要作用的基本问题。这些包括维度对动态局域化的作用、退相干对动态局域化的破坏、量子隧道效应和疤痕效应、不同势阱中能级之间的共振隧道效应、原子的空间扩散和原子冷束的输运以及拓扑量子数。

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.