Eigenstate Thermalization Hypothesis and Random Matrix Theory Universality in Few-Body Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912422742196224 |
|---|---|
| author | Wang, Jiaozi Yan, Hua Steinigeweg, Robin Gemmer, Jochen |
| author_facet | Wang, Jiaozi Yan, Hua Steinigeweg, Robin Gemmer, Jochen |
| contents | In this paper, we study the Feingold-Peres model as an example, which is a well-known paradigm of quantum chaos. Using semiclassical analysis and numerical simulations, we study the statistical properties of observables in few-body systems with chaotic classical limits and the emergence of random matrix theory universality. More specifically, we focus on: 1) the applicability of the eigenstate thermalization hypothesis in few-body systems and the dependence of its form on the effective Planck constant and 2) the existence of a universal random matrix theory description of observables when truncated to a small microcanonical energy window. Our results provide new insights into the established field of few-body quantum chaos and help bridge it to modern perspectives, such as the general eigenstate thermalization hypothesis (ETH). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09011 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenstate Thermalization Hypothesis and Random Matrix Theory Universality in Few-Body Systems Wang, Jiaozi Yan, Hua Steinigeweg, Robin Gemmer, Jochen Statistical Mechanics Chaotic Dynamics In this paper, we study the Feingold-Peres model as an example, which is a well-known paradigm of quantum chaos. Using semiclassical analysis and numerical simulations, we study the statistical properties of observables in few-body systems with chaotic classical limits and the emergence of random matrix theory universality. More specifically, we focus on: 1) the applicability of the eigenstate thermalization hypothesis in few-body systems and the dependence of its form on the effective Planck constant and 2) the existence of a universal random matrix theory description of observables when truncated to a small microcanonical energy window. Our results provide new insights into the established field of few-body quantum chaos and help bridge it to modern perspectives, such as the general eigenstate thermalization hypothesis (ETH). |
| title | Eigenstate Thermalization Hypothesis and Random Matrix Theory Universality in Few-Body Systems |
| topic | Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2506.09011 |