Tensor Network Methods for the Driven-Dissipative Dynamics of Polariton Lattice Quantum Simulators

用于极化子晶格量子模拟器驱动耗散动力学的张量网络方法

• 批准号: 1781320
• 金额: --
• 依托单位: University College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1781320
• 关键词: Tensor; Network; Methods; Driven; Dissipative

Light matter based quantum simulation platforms such as polariton lattices and circuit QED systems have recently shown the ability to support stong many-body quantum correlations. Here, the strong correlations between light-matter particles lead to highly non-classical phenomena such as photon blockade, superfluid to Mott insulator phase transitions and non-linear topological physics. Numerical methods to understand these systems in one- and two- dimensions have mostly been restricted to mean field theories which are expected to break down in the limit of strong correlations. In this work, new methods based on tensor networks are developed to simulate driven dissipative many-body systems in the strongly correlated regime. These methods are based on matrix products states (MPS) for one-dimensional systems and projected entangled pair states (PEPS) for two-dimensional systems. It is expected that these new techniques will offer valuable insight into the dynamics of strongly correlated light-matter systems.

基于光物质的量子模拟平台（例如极化子晶格和电路 QED 系统）最近显示出支持强大的多体量子相关性的能力。在这里，光与物质粒子之间的强相关性导致了高度非经典现象，例如光子封锁、超流体到莫特绝缘体的相变和非线性拓扑物理。理解这些一维和二维系统的数值方法大多局限于平均场理论，而平均场理论预计会在强相关性的极限下崩溃。在这项工作中，开发了基于张量网络的新方法来模拟强相关状态下的驱动耗散多体系统。这些方法基于一维系统的矩阵积态 (MPS) 和二维系统的投影纠缠对态 (PEPS)。预计这些新技术将为强相关光物质系统的动力学提供有价值的见解。