2017/03/11 by Stefan Kehrein, Kehrein, Stefan
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1703.03925
openalex publication_date 2017/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Ryu-Takayanagi conjecture establishes a remarkable connection between quantum systems and geometry. Specifically, it relates the entanglement entropy to minimal surfaces within the setting of AdS/CFT correspondence. This Letter shows how this idea can be generalised to generic quantum many-body systems within a perturbative expansion where the region whose entanglement properties one is interested in is weakly coupled to the rest of the system. A simple expression is derived that relates a unitary disentangling flow in an emergent RG-like direction to the min-entropy of the region under consideration. Explicit calculations for critical free fermions in one and two dimensions illustrate this relation.