青年科学基金项目进展和主要学术成绩：在三个味夸克的PLSM模型和NJL模型中讨论QCD手征对称性相变和退禁闭相变的相互作用，详细研究体系的热力学性质，并与格点QCD的结果进行比较。.新项目的研究内容：在平均场近似和超出平均场近似下，利用Ginzburg-Landau-Wilson相变理论深入研究高密QCD相图的拓扑结构，并讨论该拓扑结构在唯象模型和格点QCD中的映射和验证，以获得对QCD相变动力学本质有更加深入和全面的理解。与冷原子体系相结合，在平衡态热力学体系中同时研究高密QCD物质和冷原子玻色-费米子耦合体系的量子相变动力学机制，建立彼此的对应关系，之后在非平衡态热力学体系框架下建立相对论量子体系和非相对论体系的微观输运理论。最后与冷原子实验相结合，研究用实验的方法验证高密QCD相图结构的具体方案和途径。

Achievements in past two years: Based on the Polyakov linear sigma model (PLSM) and Nambu-Jona-Lasinio (NJL) model with three light quark flavors, we have extensively investigated the phase diagram at finite temperature and density，thermodynamic properties, the bulk viscosity over entropy density ratio and the interplay between chiral and deconfinement phase transitions. Also we have compared our results with the lattice QCD simulations and other models at zero chemical potential but finite temperature..New proposal: Using a general Ginzburg-Landau-Wilson theory and numerical model calculations, we will study the topological phase structures of dense QCD having both chiral and diquark condensates for two and three flavors. These studies will be investigated both in mean field and beyond mean field approximations deeply and intensively. The dynamical mapping of the topological phase structure to the phenomenological models and lattice QCD simulations will be also addressed with the GLW theory. Dense QCD matter and ultracold atomic systems, although differing by some twenty orders of magnitude in energy scales, share analogous physical aspects. The phase structure for boson-fermion mixtures of cold atoms display features of those in dense QCD with three colors. Based on CJT and functional renormalization group methods, we will extensively study the quantum phase transition, quantum and thermal fluctuations and the transport theory both in dense QCD matter and ultracold atomic systems. Finally, we will try to reveal the properties of dense QCD matter from the atomic physics where boson-fermion mixtures can be realized in the laboratory.