Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble
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_ | 1866910061558759424 |
|---|---|
| author | Aurell, Erik Hackl, Lucas Kieburg, Mario |
| author_facet | Aurell, Erik Hackl, Lucas Kieburg, Mario |
| contents | We consider ensembles of pure Gaussian states parametrized by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final states when isolated quantum systems thermalize, as they can reproduce thermal properties locally, while being globally pure. By an analysis using real replicas and the coherent state representation of Gaussian states we show that the average entanglement entropy of a small subsystem is the same as the von Neumann entropy of a mixed Gaussian state with the same marginals, but no correlations. Finally, we discuss how these ensembles provide a model for Hawking radiation assuming unitary evolution, and discuss some of their properties in relations to the Page curve of Hawking radiation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03696 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble Aurell, Erik Hackl, Lucas Kieburg, Mario Quantum Physics Statistical Mechanics General Relativity and Quantum Cosmology We consider ensembles of pure Gaussian states parametrized by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final states when isolated quantum systems thermalize, as they can reproduce thermal properties locally, while being globally pure. By an analysis using real replicas and the coherent state representation of Gaussian states we show that the average entanglement entropy of a small subsystem is the same as the von Neumann entropy of a mixed Gaussian state with the same marginals, but no correlations. Finally, we discuss how these ensembles provide a model for Hawking radiation assuming unitary evolution, and discuss some of their properties in relations to the Page curve of Hawking radiation. |
| title | Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble |
| topic | Quantum Physics Statistical Mechanics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.03696 |