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Welcome!

This repository hosts a curated set of tutorials, exercises, and computational notebooks designed to support new graduate students in developing the core theoretical and computational skills used in our group. Materials span foundational programming, classical and quantum dynamics, light–matter interaction, and topological condensed-matter physics. New to Git and GitHub? Begin here: Gettig started with GitHub

🧠 Core Programming & Numerical Methods

A gentle introduction to computational research skills.

  1. Monte Carlo Methods: Estimating π via stochastic sampling.
  2. Numerical Functions: Building a sine calculator from a numerical estimation.
  3. Data Parsing & Processing: Handling and analyzing scientific datasets.

📚 2024 Tutorials — Light–Matter Interaction

Classical Regime

  1. Driven Harmonic Oscillator: Electromagnetic driving of classical oscillators.

Semi-classical

  1. Rabi Oscillations: Time-dependent driving of a two-level system.

Fully quantum

  1. Tavis–Cummings Model Collective strong-coupling light–matter physics.

⚡ Electrodynamics & Optical Structures

  1. Transfer Matrix Method: Propagation of light in a media

🚀 2025 Tutorials — Quantum Optics, Transport, and Topological Matter

Introduction to optical cavities

  1. Jaynes-Tavis-Cummings Model: Cavity QED with a single quantized mode

Quantum Transport

  1. Quantum Dynamics & Transport: Time-evolution in a polariton wire

Topological Quantum Matter

  1. Integer Quantum Hall Effect (IQHE): Landau levels, magnetic Bloch bands, Chern numbers