GreenFunc.jl: A Toolbox for Quantum Many-Body Problems.

GreenFunc.jl is a powerful package that offers a solution to the complex computational challenges of quantum many-body systems. The package is developed using native Julia language which offers both speed and flexibility. GreenFunc.jl implements state-of-the-art algorithms for solving quantum many-body problems using a Green's function approach, making it an invaluable tool for researchers in fields such as material design, high-temperature superconductivity, and quantum information technology.

In this talk, we will introduce GreenFunc.jl, a powerful tool for solving complex quantum many-body problems. Developed under the Numerical Effective Field Theory (NEFT) project, which aims to develop modern quantum field theory frameworks for modeling real-world problems, GreenFunc.jl is based on a set of more fundamental packages such as Lehmman.jl, CompositeGrids.jl, and BrilliouZoneMeshs.jl. We will demonstrate how it can be used to analyze the SYK model, which is crucial for understanding the mechanism of high-temperature superconductivity and important for black hole physics. If time allows, we will also showcase its ability to explore ultralow temperature superconductivity, which was not possible to calculate before. Join us to learn how GreenFunc.jl can help you tackle challenging quantum many-body problems in the fields of material science, condensed matter physics, high energy physics and quantum information science. Detailed tutorials and the source code can be found at the link https://github.com/numericalEFT/GreenFunc.jl and https://github.com/numericalEFT.