本项目以量子控制和在玻色爱因斯坦凝聚体中产生量子纠缠态为目的，以期对利用该凝聚体进行量子精密测量的物理原理进行探索性研究。主要研究内容有：从量子纠缠定义出发，深入理解对精密测量有利的量子纠缠态的物理本质，从物理特性上理解量子纠缠态与经典态在测量上的不同；以玻色约瑟夫森结量子动力学为基础，考虑具体操作中的位相耗散、粒子数损失等因素，利用优化理论寻找在凝聚体中产生最佳纠缠态的途径；以处于环状势中凝聚体的定态解（含杂质）及其在周期驱动外场下的量子动力学为基础，研究在此系统中产生量子纠缠态的可能性、寻找有利于精密测量的初始态。并通过对含有非线性相互作用下的量子动力学求解，研究在此系统中波函数的动力学演化特征，从而揭示其出现周期恢愎的条件。并讨论非线性Talbot-Lau效应及其在量子精密测量中的可能应用。本研究无论从量子理论本身，还是从量子精密测量应用的角度来看，都有非常重要的意义。

In order to explore the application of Bose-Einstein Condensates (BECs) to precision mesurement, we are going to study the quatnum control and generation entanglement with BECs. Firstly, starting with the definition on entanglement measures, the difference between the classical state with quantum entanglement (useful for precision measurement) is expected to be explained in terms of physical characters. Based on quantum dynamics of Bose Josephson Junction, involving the possible decoherence elements, such as dephasing with enviroments, atom loss induced by three-body collision, the best methods to generate the useful entanglement for precision measurement is expected to be explored with the help of optimal control theory. From the quatnum dynamics of Bose-Einstein Condensates trapped by one dimensional ring potential and its stationary solutions (including a few defects), we are going to investigate the possibility to generate the entanglement and find some useful initial states for precision measurement, and by solving the quantum evolutions for the wave function suffered atomic interaction, to find the conditions for realization the wave packet revival. Futher more, we extend the Talbot-Lau effect to the nonlinear case, and then discuss its application to quantum precision measurement. This proposal could be crucially important for the advancement of physics from both a fundamental and a technological point of view.