Spatial Entanglement Sudden Death in Spin Chains at All Temperatures
Quantum Physics
2026-02-25 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We prove a finite entanglement length for the Gibbs state of any local Hamiltonian on a spin chain at any finite temperature: After removing an interval of size at least equal to the entanglement length, the remaining left and right half-chains are in a separable state.
Keywords
Cite
@article{arxiv.2602.20694,
title = {Spatial Entanglement Sudden Death in Spin Chains at All Temperatures},
author = {Samuel O. Scalet},
journal= {arXiv preprint arXiv:2602.20694},
year = {2026}
}
Comments
19 pages, 2 figures