三角光晶格超冷玻色系统中几何阻挫及无规效应研究

项目名称： 三角光晶格超冷玻色系统中几何阻挫及无规效应研究

项目编号： No.11275119

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 姜颖

作者单位： 上海大学

项目金额： 56万元

中文摘要： 目前最新实验进展使得几何阻挫效应与无序结构成为当前人工晶格冷原子气体研究方面的两个重要的课题。对它们的研究不仅是冷原子领域本身的兴趣所在，同时对凝聚态相关系统的研究有着重要的借鉴意义。本项目中，借助Ginzburg-Landau场论框架下强耦合跃迁展开方法、Green函数方法以及前期工作中所提出的自旋-弹性体映射方法，我们将深入研究三角人工光晶格中超冷玻色系统在两类不同几何阻挫情形下的基态特性，探索可能出现的新奇物相及其相关量子相变；利用零温逼近的方法以及跃迁展开理论深入探讨无规势环境下系统有效作用量对超流和Bose玻璃序参量的依赖关系，并在此基础上进一步考虑同一系统中几何阻挫与无规势阱对于超冷玻色系统的联合效应，着重关注几何阻挫系统中的量子态在无规势阱中的稳定性问题，并探讨几何阻挫对玻色玻璃态的抑制效应。本课题的研究将帮助我们更深入地理解几何阻挫系统的关联特性以及玻璃态基本要素间的关系。

中文关键词： 超冷玻色系统；光晶格；量子相变；无规；

英文摘要： The physics of dilute ultracold quantum gases in optical lattices has grown to one of the most fascinating fields over the last decade. The latest experimental progress makes the effects of geometric frustration and disorder structure as two important issues in the research field of optical lattice ultra-cold atomic gases. This is not only due to their own interest, but also because that the optical-lattice-cold-atom system provides a very important quantum simulating platform for corresponding condensed matter systems. In this project, with the help of systematic strong coupling hopping expansion method within the framework of Ginzburg-Landau field theory, the Green's function method and the spin-string mapping developed in our previous work, we are going to delve into the ground state properties of ultra-cold Bose systems in triangular optical lattice under two distinct circumstances of geometric frustration, to explore the possible novel phases and associated quantum phase transitions. Meanwhile, by making use of zero temperature approach and systematic hopping expansion perturbation theory, we are going to investigate the optical-lattice-ultra-cold Bose system in disorder environment, trying to find out how the effective action of the disordered system depends on the superfluid order parameters and Bose glas

英文关键词： ultracold Bose system；optical lattice；quantum phase transitions；disorder；