Skip to content
DraconiticResearch
Search Sources API
201,642 studies31 sourcesUpdated 12 min ago
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

  1. Fibonacci number systems and the localization criterion in the many-body Aubry-André model
    Balázs Hetényi
    arXivPreprintCC BY 4.0Full textMathematical physicsCondensed matterarXiv
  2. PROPAGATION ESTIMATES FOR THE MANY-BODY BOSON STAR EQUATION
    Sébastien Breteaux, Charlotte Dietze, Jérémy Faupin +2
    HALPreprintCC BY 4.0Full textMathematical physicsHALarXiv
  3. CDFCI: High-Performance Parallel Software for Quantum Many-Body Eigenvalue Problems
    Yuejia Zhang, Zhe Wang, Jianfeng Lu +1
    arXivPreprintarXiv licenceFull textPhysical chemistryNumerical analysis & scientific computingarXiv
  4. adapol: Adaptive pole-fitting for quantum many-body physics
    Zhen Huang, Chia-Nan Yeh, Lin Lin +3
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingCondensed matterarXiv
  5. A Boson-informed neural network for Ground States of Many-Body Schrödinger equations
    Zhizhong Kong, Jerry Zhijian Yang, Cheng Yuan +1
    arXivPreprintarXiv licenceFull textMathematical physicsAtomic, molecular & optical physicsarXiv
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  -