The exact dynamical structure factor of one-dimensional hard rods and its universal random matrix behavior
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911390270226432 |
|---|---|
| author | Gamayun, Oleksandr Panfil, Miłosz |
| author_facet | Gamayun, Oleksandr Panfil, Miłosz |
| contents | We obtain an exact analytic expression for the dynamical structure factor of one-dimensional quantum gas of hard rods. Our result is valid for arbitrary many-body state of the system, with finite temperature states and the ground state being important special cases that we analyse in detail. We demonstrate that the expression obeys fundamental relations such like the f-sum rule and the detailed balance. We also reveal the hidden fermionic structure behind the correlator. In the static limit we show that it can be written in terms of universal functions which, at zero temperature, coincide with the level spacing distribution function of the Gaussian Unitary Ensemble. Our work provides a full and exact characterisation of a dynamic correlation function in a strongly correlated interacting quantum many-body system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15108 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The exact dynamical structure factor of one-dimensional hard rods and its universal random matrix behavior Gamayun, Oleksandr Panfil, Miłosz Quantum Gases Strongly Correlated Electrons Exactly Solvable and Integrable Systems We obtain an exact analytic expression for the dynamical structure factor of one-dimensional quantum gas of hard rods. Our result is valid for arbitrary many-body state of the system, with finite temperature states and the ground state being important special cases that we analyse in detail. We demonstrate that the expression obeys fundamental relations such like the f-sum rule and the detailed balance. We also reveal the hidden fermionic structure behind the correlator. In the static limit we show that it can be written in terms of universal functions which, at zero temperature, coincide with the level spacing distribution function of the Gaussian Unitary Ensemble. Our work provides a full and exact characterisation of a dynamic correlation function in a strongly correlated interacting quantum many-body system. |
| title | The exact dynamical structure factor of one-dimensional hard rods and its universal random matrix behavior |
| topic | Quantum Gases Strongly Correlated Electrons Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2601.15108 |