Modular Time Evolution and the QNEC

• URL: http://arxiv.org/abs/2503.21385v1
• Date: Thu, 27 Mar 2025 11:33:35 GMT
• Title: Modular Time Evolution and the QNEC
• Authors: Stefan Hollands,
• Abstract summary: We establish an inequality restricting the evolution of states in quantum field theory.<n>Our inequality is a statement about half-sided modular inclusions of von Neumann algebras.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We establish an inequality restricting the evolution of states in quantum field theory with respect to the modular flow of a wedge, $\Delta^{is}$, 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'' $\le 2\pi$ 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.

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