低维自旋轨道耦合费米气体的量子蒙特卡罗研究

项目名称： 低维自旋轨道耦合费米气体的量子蒙特卡罗研究

项目编号： No.11504143

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 数理科学和化学

项目作者： 杨孝森

作者单位： 江苏大学

项目金额： 21万元

中文摘要： 自旋轨道耦合作为实现各种拓扑量子态的关键因素，已成为当前冷原子物理和凝聚态物理的研究热点，在理论和实际应用方面都具有重大以及长远的意义。到目前为止，在平均场框架下自旋轨道耦合费米气体的研究已经取得了丰硕的成果，但是考虑到关联效应后，对自旋轨道耦合费米气体性质的研究还处于初步阶段。本项目拟采用数值精确的行列式量子蒙特卡罗(DQMC)方法，通过研究低维自旋轨道耦合费米气体的基态、拓扑性质以及热力学性质，（1）建立有效判断低维自旋轨道费米气体拓扑性质的数值方法；（2）寻找强关联效应所诱导产生的新量子态，并给出系统零温和有限温度的相图；（3）最终揭示低维情况下自旋轨道耦合费米气体的普适性。

中文关键词： 低维冷原子系统；人造规范势；量子蒙特卡罗；拓扑超流

英文摘要： Spin-orbit coupling (SOC) is known to be a key factor in realizing different topological non-trivial phases. The effect of SOC is a hot research topic in both cold atomic physics and condensed matter physics. The thorough understanding of the effect of SOC is of great importance. Recently, rich physical phenomena are observed and investigated in the mean-field framework. But, the investigation of correlation effect in Fermi gas with SOC is still in its initial state. We propose to use numerical exact determinant quantum Monte Carlo (DQMC) method to investigate spin-orbit coupled Fermi gas in low dimensions. We would investigate the ground state properties, topological properties and thermodynamics properties. The target of this project would be (1) to build up an effective scheme to judge the topological properties by numerical methods; (2) to find novel phases induced by strong correlation and obtain the phase diagram at both zero and finite temperature; (3) to reveal the universality of the spin-orbit coupled Fermi gas in low dimensions.

英文关键词： Low dimensional system of cold atoms;Artificial gauge potentials;Quantum Monte Carlo;Topological superfluid