Entanglement of low-energy excitations in Conformal Field Theory

Autor:	Alcaraz, Francisco Castilho, Berganza, Miguel Ibanez, Sierra, German
Rok vydání:	2011
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Zdroj:	Phys.Rev.Lett.106:201601,2011
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.106.201601
Popis:	In a quantum critical chain, the scaling regime of the energy and momentum of the ground state and low lying excitations are described by conformal field theory (CFT). The same holds true for the von Neumann and Renyi entropies of the ground state, which display a universal logarithmic behaviour depending on the central charge. In this letter we generalize this result to those excited states of the chain that correspond to primary fields in CFT. It is shown that the n-th Renyi entropy is related to a 2n-point correlator of primary fields. We verify this statement for the critical XX and XXZ chains. This result uncovers a new link between quantum information theory and CFT. Comment: 4 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1101.2881 Zobrazit plný text záznamu View this record from Arxiv