PreprintarXiv licencearXiv
Many-body localization: an introduction for mathematicians
Abstract
These notes are based on a mini-course delivered at the Les Houches Summer School, Quantum Theory on All Scales, in August 2026. They introduce many-body localization to mathematicians, emphasizing the physical mechanisms that support or destabilize it. The mathematical discussion deals with how perturbative rotations, renormalization, and probabilistic estimates are used in a rigorous approach to many-body localization.
Related
- Fibonacci number systems and the localization criterion in the many-body Aubry-André model
- PROPAGATION ESTIMATES FOR THE MANY-BODY BOSON STAR EQUATION
- CDFCI: High-Performance Parallel Software for Quantum Many-Body Eigenvalue Problems
- adapol: Adaptive pole-fitting for quantum many-body physics
- A Boson-informed neural network for Ground States of Many-Body Schrödinger equations
BibTeX
@misc{huveneers2026manybody,
title = {{Many-body localization: an introduction for mathematicians}},
author = {Francois Huveneers},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39462},
eprint = {2609.39462},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39462},
}
RIS
TY - UNPB
TI - Many-body localization: an introduction for mathematicians
AU - Francois Huveneers
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39462
UR - https://arxiv.org/abs/2609.39462
AB - These notes are based on a mini-course delivered at the Les Houches Summer School, Quantum Theory on All Scales, in August 2026. They introduce many-body localization to mathematicians, emphasizing the physical mechanisms that support or destabilize it. The mathematical discussion deals with how perturbative rotations, renormalization, and probabilistic estimates are used in a rigorous approach to many-body localization.
ER -