Computational notebook for "Floquet Engineering of Quantum Transport through two Driven Impurities"

This repository contains the Julia source code used to generate the numerical data and transmission probability maps presented in **Figure 5** of the manuscript: "Floquet Engineering of Quantum Transport through two Driven Impurities" by V. Bruno, C. Kollath, R. Citro, and A. Sheikhan. ### OverviewThe code implements the boundary conditions for a driven quantum system to determine the probability amplitudes across multiple Floquet channels (specifically 41 channels in the default configuration). The core function, `calculate_transmission_continuum`, sets up and solves the linear system $A \cdot b$ to compute the total transmission probability as a function of the scattering energy ($E$) and the driving amplitude ($\gamma$). This function serves as the computational backbone for most of the numerical results presented in the paper. The script uses parallel multithreading to efficiently sample a $500 \times 500$ grid of parameters, generating two distinct datasets for the transmission maps:* **Map 1:** Transmission probability matrix $T_1$ for a potential barrier strength $\nu = 0.0$.* **Map 2:** Transmission probability matrix $T_2$ for a potential barrier strength $\nu = 0.7$. ### Repository Contents* `transmission_fig5_generation.jl`: The complete Julia script containing the solver logic, the multithreaded data generation routine (`genera_dati`), and the physical parameters chosen for the publication. ### Prerequisites & DependenciesTo run this code, you need a working installation of the Julia programming language along with the following packages:* `PyPlot` (for visualization alignment)* `LinearAlgebra` (for matrix inversion via the `\` operator)* `ProgressMeter` (to monitor the multi-threaded grid computation)* `LaTeXStrings` ### How to Run1. Enable multithreading in your Julia session (e.g., start Julia with `julia -t auto` or set the `JULIA_NUM_THREADS` environment variable).2. Execute the script to generate the variables `E_dati`, `gamma_dati`, `T_map1`, and `T_map2`.