Modular Time Evolution and the QNEC
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910896363667456 |
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| author | Hollands, Stefan |
| author_facet | Hollands, Stefan |
| contents | We establish an inequality restricting the evolution of states in quantum field theory with respect to the modular flow of a wedge, $Δ^{is}$, for large $|s|$. Our bound is related to the quantum null energy condition, QNEC. In one interpretation, it can be seen as providing a ``chaos-bound'' $\le 2π$ on the Lyapunov exponent with respect to Rindler time, $s$. Mathematically, our inequality is a statement about half-sided modular inclusions of von Neumann algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular Time Evolution and the QNEC Hollands, Stefan High Energy Physics - Theory Mathematical Physics Operator Algebras Quantum Physics We establish an inequality restricting the evolution of states in quantum field theory with respect to the modular flow of a wedge, $Δ^{is}$, for large $|s|$. Our bound is related to the quantum null energy condition, QNEC. In one interpretation, it can be seen as providing a ``chaos-bound'' $\le 2π$ on the Lyapunov exponent with respect to Rindler time, $s$. Mathematically, our inequality is a statement about half-sided modular inclusions of von Neumann algebras. |
| title | Modular Time Evolution and the QNEC |
| topic | High Energy Physics - Theory Mathematical Physics Operator Algebras Quantum Physics |
| url | https://arxiv.org/abs/2503.21385 |