Nonlinear atom optics of Bose-Einstein condensates in optical lattices

光学晶格中玻色-爱因斯坦凝聚体的非线性原子光学。当一种新的物质状态--玻色-爱因斯坦凝聚体--被困在光产生的周期性势能中时，它就形成了一个独特的、可重新配置的纳米系统，对其性质进行了前所未有的控制。它的行为范围从量子到经典，从线性到非线性，从连续到离散。本项目旨在发展一种关于BEC在光学晶格中的非线性局域、输运和激发的理论。它的结果将为在量子计算、信息存储、精密测量和纳米技术中拟议的光学晶格中使用BEC的可行性提供重要的评估。

Nonlinear atom optics of Bose-Einstein condensates in optical lattices. When a new state of matter - Bose-Einstein condensate - is trapped in a periodic potential created by light, it forms a unique, reconfigurable nano-scale system with unprecedented control over its properties. Its behaviour ranges from quantum to classical, from linear to nonlinear, and from continuous to discrete. This project aims to develop a theory for the nonlinear localization, transport, and excitation of BEC in the optical lattices. Its outcome will provide an important assessment of the feasibility of the proposed use of the BEC in optical lattices in quantum computing, information storage, precision measurements, and nanotechnology.\r\n