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Spatial Entanglement Sudden Death in Spin Chains at All Temperatures
Samuel O. Scalet·February 24, 2026
Quantum Physicscond-mat.stat-mechMathematical Physics
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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.