Implementation of a Python simulation of a quantum system of 2 spins coupled to a phonon degree of freedom. The aim is to reproduce exactly the time evolution given by the Mølmer-Sørensen interaction, and then to test and apply different perturbative expansions such as the Magnus expansion, the Dyson series, the Schrieffer-Wolff transformation and the High-Frequency expansion.

The present work is done in collaboration with the University of Trento as part of my bachelor's thesis: "Perturbative expansions in quantum mechanics: overview, comparison and applications".

The code is a simple Jupyter notebook running Python. All you need to do is to make sure you installed the Python libraries contained in the first block of code of the file simulation.ipynb.

Here you can find an example of some results obtained with the code in simulation.ipynb:

• P. Hauke (professor and thesis advisor)
• Diego Scantamburlo

The code here presented is released under version 3 of the GNU General Public License.