Entanglement entropies of minimal models from null-vectors

2017/09/30 by Thomas Dupic, Benoit Estienne, Yacine Ikhlef · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Computer science #Geometry #Mathematical physics #Mathematics #Null (SQL) #Orbifold #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Tensor decomposition and applications #Twist #Unitary state #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf · doi:10.21468/scipostphys.4.6.031

published as SciPost Phys. 4, 031 (2018) · 43 pages, 7 figures

arxiv created 2018/03/06 · openalex publication_date 2018/06/18 · arxiv updated 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a new method to compute Rényi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The latter are then determined by standard bootstrap techniques. We apply this method to the calculation of various Rényi entropies.

Citations

• Optimizing momentum space DMRG using quantum information entropy
• Coset construction for winding subalgebras and applications
• The theory of vector-modular forms for the modular group
• Colloquium: Area laws for the entanglement entropy
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Entropy and Area
• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

Cited by

• Entanglement entropies of inhomogeneous Luttinger liquids