Topics for Master and Bachelor Thesis

Bachelor Thesis Topics (summer term 2026)

There are no openings at the moment

Master Thesis Topics (starting summer term 2026)

We anticipate one or two openings for a Master Thesis for the following possible topics:

1. Quantum Monte Carlo study of a material relevant to twisted bilayer structures

   Recent advances in material design in twisted bilayer structures www.nature.com/articles/s41586-025-09187-5 (Or see arxiv.org/2411.18684 ) and https://arxiv.org/abs/2508.10098 allow for a generalization of https://arxiv.org/abs/1702.00035 to a 3-band Kagome-like structure. We wish to determine the phase diagram using quantum Monte Carlo simulations. 

2. Physically motivated variational Ansätze for embedding theories; connections to quantum hardware 

   We wish to explore how good typical bosonic models of condensed matter physics can be embedded in a DMFT-like fashion on current quantum computing hardware. This builds on our previous formalism arXiv:1103.0017 and the overview arXiv:2508.00118

3. Bosonic selfenergy functional theory for clusters

   
   We seek an extension of the bosonic self energy functional theory formalism to systems consisting of a small cluster such as eg a triangle (as the unit cell in the Kagome lattice) but with on-site interactions. These systems are not amenable to quantum Monte Carlo simulations but have experimental relevance in current quantum simulation experiments. Refs: https://arxiv.org/abs/1103.0017 https://arxiv.org/pdf/1603.01401 I think that these are Ansätze with very few variational parameters can be powerful and remain largely unexplored. This is not looking for an implementation on a quantum computer (topic 3) but a cluster extension of the known method to a frustrated XY-like magnet.  The projects (3) and (4) do share some methodological overlap allowing for cross-communication, but remain distinct in scope and physics.

4. Quantum Monte Carlo studies of Renyi entropies Various

   
   

   Methods to compute the Renyi and entanglement entropy have been proposed in the literature. In this master thesis, the different approaches will be implemented and compared. Recent proposals include connections to machine learning. Ref: this paper and Ref therein

5. Neural Quantum States

   
   

   We want to use the recently developed approximately symmetric convolutional neural quantum states in order to study the real-time dynamics of models relevant to spin squeezing. Ref: click here, among others.