Universal Finite-Size Corrections of the Entanglement Entropy of Quantum Ladders and the Entropic Area Law

Abstract

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results support that the prefactor of the logarithmic correction of the entanglement entropy of critical ladder models is universal and it is associated with the central charge of the one-dimensional version of the models and with the number of branches associated with gapless excitations. Our results suggest that it is possible to infer whether there is a violation of the entropic area law in two-dimensional critical systems by analyzing the scaling behavior of the entanglement entropy of ladder systems, which are easier to deal.

arXiv comment5 pages, 5 figures

References in corpus (37)

• Quantum entanglement
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Entropy and Area
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Calculation of reduced density matrices from correlation functions
• Area laws in quantum systems: mutual information and correlations
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Entropy, entanglement, and area: analytical results for harmonic lattice systems
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Parity effects in the scaling of block entanglement in gapless spin chains
• Entanglement Entropy and the Fermi Surface
• Shannon and entanglement entropies of one- and two-dimensional critical wave functions
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Entanglement renormalization in two spatial dimensions
• On the definition of a unique effective temperature for non-equilibrium critical systems
• Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model
• Scaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions
• Entanglement and boundary critical phenomena
• Entanglement Entropy of the Two-Dimensional Heisenberg Antiferromagnet
• Critical behavior of the S=3/2 antiferromagnetic Heisenberg chain
• Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof
• The Non Linear Sigma Model and Spin Ladders
• Entanglement entropies in free fermion gases for arbitrary dimension
• Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders
• DMRG studies of critical SU(N) spin chains
• Semiclassical description of spin ladders
• Finite-size corrections of the Entanglement Entropy of critical quantum chains
• Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
• The von Neumann entropy asymptotics in multidimensional fermionic systems
• New insights into the entanglement of disjoint blocks
• Subarea law of entanglement in nodal fermionic systems
• Entanglement Entropy, Conformal Invariance and the Critical Behavior of the Anisotropic Spin-S Heisenberg Chains: A DMRG study
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• The N-Leg spin-S Heisenberg ladders: A DMRG study
• Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions

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