中文摘要：

采用Ramsey分离振荡场方法,研究了紧束缚一维强相互作用的超冷玻色气体在Tonks-Girardeau区的Ramsey干涉。在等失谐情况下,干涉条纹宽度随着原子与分离场作用时间和拉比（Rabi）频率的增大而变窄。对量子投影噪声的研究表明,相比二能级Tonks-Girardeau气体,对于三能级模型,通过控制原子总数和调节外场可以降低量子噪声,有效地减少噪声对Tonks-Girardeau气体系统的干扰。原子干涉的探索对提高量子频率标准的精度具有重要理论指导意义。

英文摘要：

The Ramsey＇s method of separated oscillatory fields is applied to study Ramsey interferometry but using a Tonks-Girardeau model that describes a coherent one-dimensional gas of ultracold bosons with strong interactions.Under the equal detuning,the interference fringes width can be narrowed by increasing the Rabi frequency and the field-crossing time.Moreover,we gain further insight into the quantum projection noise.In contrast to a two-level TG gas,our results illustrate that the modulation of the total number of three-level atoms and the external fields tend to lower the quantum noise limit,so as to reduce the interference of the noise to the strongly interacting bosonic Tonks-Girardeau gas.The investigation on the atomic interferometry is a great theoretical guidance to the research of quantum frequency standard.