KaiED_tutorials

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• Contact : Hyeong Jun LEE < hjuntaf at gmail.com >

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This is a set of tutorial codes for KaiED Package. (The KaiED Package will be released soon.)

0. Preparation

• Download KaiED and Julia. (Go to KaiED repo.) (Download Julia here.)

  Version-test successfully done for

  • julia >= 1.8.5

1. Files

• src/ contains source codes.
• tutorials/ contains tutorial codes.
• envs/ is a temporary directory for Julia-project-environment TOML files. setup.jl will use this location and generate envs/KED/*.toml files.
• setup.jl will activate a 'project' of julia and install the required packages.

2. Usage

$ julia tutorials/01_manybody_binary_basis.jl

Every tutorial code here contains include("../src/mybase.jl") with relative path to include mybase.jl and use KaiED. You will need to modify this path (../src/) when you want to run in a different directory/location.

Jupyter notebook

We also provide some tutorials within jupyter notebook (.ipynb). You can use the jupyter notebooks after an installation of IJulia as follows.

Installation

   _       _ _(_)_     |  Documentation: https://docs.julialang.org
  (_)     | (_) (_)    |
   _ _   _| |_  __ _   |  Type "?" for help, "]?" for Pkg help.
  | | | | | | |/ _` |  |
  | | |_| | | | (_| |  |  Version 1.9.3 (2023-08-24)
 _/ |\__'_|_|_|\__'_|  |  Official https://julialang.org/ release
|__/                   |

julia> using Pkg

julia> Pkg.add("IJulia")

or enter the Pkg REPL by pressing ] and install it :

(@v1.9) pkg> add IJulia

Run

$ jupyter notebook

3. Tutorial contents

The following concepts are included.

• Quantum many-body basis state manipulations
• Quantum many-body wavefunction manipulations
• Green functions
• Impurity models
• Tight-binding models
• Exact diagonalization method
• Dynamical mean-field theory