Pure and random quantum Ising chain : Shannon and Renyi entropies of the ground state via real space renormalization - Archive ouverte HAL Access content directly
Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2015

Pure and random quantum Ising chain : Shannon and Renyi entropies of the ground state via real space renormalization

(1)
1

Abstract

The Shannon and the Renyi entropies of the ground state wavefunction in the pure and in the random quantum Ising chain are studied via the self-dual Fernandez-Pacheco real-space renormalization procedure. In particular, we analyze the critical behavior of the leading extensive term at the quantum phase transition : the derivative with respect to the control parameter is found to be logarithmically divergent in the pure case, and to display a cusp singularity in the random case. This cusp singularity for the random case is also derived via the Strong Disorder Renormalization approach.
Fichier principal
Vignette du fichier
1501.05416v2.pdf (284.92 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01322501 , version 1 (27-05-2016)

Identifiers

Cite

Cécile Monthus. Pure and random quantum Ising chain : Shannon and Renyi entropies of the ground state via real space renormalization. Journal of Statistical Mechanics: Theory and Experiment, 2015, 2015 (04), pp.P04007. ⟨10.1088/1742-5468/2015/04/P04007⟩. ⟨cea-01322501⟩
35 View
82 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More