NonEquilibriumGreenFunction

Overview

This package solves the non-equilibrium Dyson equation in the time domain with quasi-linear time complexity. It is the research code accompanying:

1. The thesis: Quantum transport in voltage-biased Josephson junctions
2. The paper: Solving the Transient Dyson Equation with Quasilinear Complexity via Matrix Compression

Features

• Solves non-equilibrium Dyson equation in time domain
• Quasi-linear time complexity

Examples

Metal - Quantum Dot - Metal Junction

The notebook examples/MQDM_junction.ipynb demonstrates how to compute the Green function of a non-interacting quantum dot connected to two leads and evaluate its current.

Superconductor - Quantum Dot - Superconductor Junction

The notebook examples/SQDS_junction.ipynb shows how to compute the Green function of a non-interacting quantum dot connected to two superconducting leads and evaluate its current.

Installation

using Pkg
Pkg.add("https://github.com/BaptisteLamic/NonEquilibriumGreenFunction.jl")