Finite-size corrections of the Entanglement Entropy of critical quantum chains

摘要: Using the density matrix renormalization group, we calculated finite-size corrections of entanglement $\ensuremath{\alpha}$-R\'enyi entropy a single interval for several critical quantum chains. We considered models with $U(1)$ symmetry such as spin-1/2 $XXZ$ and spin-1 Fateev-Zamolodchikov models, well discrete symmetries Ising, Blume-Capel, three-state Potts models. These contain physically relevant information. Their amplitudes, which depend on value $\ensuremath{\alpha}$, are related to dimensions operators in conformal field theory governing long-distance correlations The obtained results together earlier exact numerical ones allow us formulate some general conjectures about operator responsible leading correction entropies. conjecture that exponent entropies is ${p}_{\ensuremath{\alpha}}=2{X}_{\ensuremath{\epsilon}}/\ensuremath{\alpha}$ $\ensuremath{\alpha}g1$ ${p}_{1}=\ensuremath{\nu}$, where ${X}_{\ensuremath{\epsilon}}$ denotes energy model $\ensuremath{\nu}=2$ all