Flow Equation Holography

Stefan Kehrein

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arXiv · 1703.03925

Flow Equation Holography

Stefan Kehrein

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Abstract

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.

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Stefan Kehrein. 2017-03-11. Flow Equation Holography. https://arxiv.org/abs/1703.03925

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