研究环境对量子系统尤其是量子多体系统状态的影响，是现代物理学中的重要前沿课题之一，也是凝聚态物理、原子分子物理与量子光学、固态量子信息，以及非平衡统计物理等前沿学科的交叉研究领域。在这类开放的量子多体系统中，系统内部量子多体效应和外部环境交互作用，产生出大量新奇的非平衡量子多体现象，为量子多体物理的研究提供了新的视角。从应用角度看，量子器件等不可避免面临量子系统与环境交互作用；开放量子多体物理系统的研究将对以固态量子信息、里德堡原子与束缚离子阱系统为代表的新一代量子信息与计算实验研究具有重要的指导意义。本项目将运用量子多体物理中的数值方法， 如量子蒙特卡洛方法和密度矩阵重整化群方法，研究开放量子多体系统的稳态和动力学性质，同时针对相关实验系统中出现的具体问题进行研究，为人们理解环境对量子多体系统影响的普适性特性奠定基础。通过这方面的研究，我们将建立国际交流合作和培养1-2名博士研究生。

Almost all the quantum systems are inevitably coupled with their environment. Understanding the quantum (many-body) systems immersed in the environment is one of the most important topics in modern physics, and has become rapidly developing interdisciplinary fields between condensed matter, atomic and molecular and quantum optics, quantum computation based on solid-state devices. In this kind of open quantum many-body system, the interplay between the intrinsic many-body effect in the system and the outside environment gives rise to enormous novel and interesting non-equilibrium quantum many-body phenomena, which provides a new perspective to quantum many body physics. In the meantime, understanding the open quantum many-body systems is of great practical significance due to its potential relations with quantum information and quantum processing techniques. In this project, we will generalize the numerical techniques in the quantum many-body systems, e.g. Quantum Monte Carlo and Density Matrix Renormalization Group method, into the open quantum many body systems, and study their dynamical and steady state properties. In the meanwhile, we will devote special attention to problems arise from relevant experimental systems. In addition, we will establish international collaborations by the support of this project.