PreprintCC BY 4.0arXiv
Random quantum circuits, chaos and quantum thermalization
Abstract
These notes accompany lectures given in June 2025 at the summer school \emph{Fundamental Problems in Statistical Physics XVI}. They offer a short introduction to random quantum circuits as simple models for generic many-body quantum systems. They give an outline of the motivation for introducing these models, starting from ideas of random matrix theory. They also provide a sketch of calculations of some of the quantities of most physical interest, based on an average over an ensemble of systems. These quantities give insights into operator spreading, entanglement dynamics and spectral correlations.
Versions
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BibTeX
@misc{chalker2026random,
title = {{Random quantum circuits, chaos and quantum thermalization}},
author = {J. T. Chalker},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.21303},
eprint = {2608.21303},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.21303},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Random quantum circuits, chaos and quantum thermalization
AU - J. T. Chalker
PY - 2026
DA - 2026/08/21
PB - arXiv
DO - 10.48550/arxiv.2608.21303
UR - https://arxiv.org/abs/2608.21303
AB - These notes accompany lectures given in June 2025 at the summer school \emph{Fundamental Problems in Statistical Physics XVI}. They offer a short introduction to random quantum circuits as simple models for generic many-body quantum systems. They give an outline of the motivation for introducing these models, starting from ideas of random matrix theory. They also provide a sketch of calculations of some of the quantities of most physical interest, based on an average over an ensemble of systems. These quantities give insights into operator spreading, entanglement dynamics and spectral correlations.
ER -