Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice

Abstract

In the conformal field theories given by the Ising and Dirac models, when the system is in the ground state, the moments of the reduced density matrix of two disjoint intervals and of its partial transpose have been written as partition functions on higher genus Riemann surfaces with ${\mathbb{Z}}_n$ symmetry. We show that these partition functions can be expressed as the grand canonical partition functions of the two-dimensional two component classical Coulomb gas on certain circular lattices at specific values of the coupling constant.

5 pages, 1 figure. v2: published version

References in corpus (12)

• Entanglement negativity in quantum field theory
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
• Finite temperature entanglement negativity in conformal field theory
• Entanglement entropy of two disjoint blocks in XY chains
• Entanglement Entropy and Twist Fields
• Conformal Blocks and Negativity at Large Central Charge
• Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
• Holographic entanglement entropy for disconnected regions
• Holographic entanglement entropy: near horizon geometry and disconnected regions
• Bose-Fermi duality and entanglement entropies
• An Alternative Method for Extracting the von Neumann Entropy from Renyi Entropies

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• Modular Hamiltonian for de Sitter diamonds
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Replicated Entanglement Negativity for Disjoint Intervals in the Ising and Free Compact Boson Conformal Field Theories
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• The operator algebra of cyclic orbifolds
• Entanglement entropies of an interval in the free Schrödinger field theory at finite density
• Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
• Entanglement entropies of an interval in the free Schrödinger field theory on the half line
• A contour for the entanglement negativity of bosonic Gaussian states