Spin structures and entanglement of two disjoint intervals in conformal field theories

Autor:	Coser, Andrea, Tonni, Erik, Calabrese, Pasquale
Rok vydání:	2015
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Zdroj:	J. Stat. Mech. (2016) 053109
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2016/05/053109
Popis:	We reconsider the moments of the reduced density matrix of two disjoint intervals and of its partial transpose with respect to one interval for critical free fermionic lattice models. It is known that these matrices are sums of either two or four Gaussian matrices and hence their moments can be reconstructed as computable sums of products of Gaussian operators. We find that, in the scaling limit, each term in these sums is in one-to-one correspondence with the partition function of the corresponding conformal field theory on the underlying Riemann surface with a given spin structure. The analytical findings have been checked against numerical results for the Ising chain and for the XX spin chain at the critical point. Comment: 41 pages, 10 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.08328 Zobrazit plný text záznamu View this record from Arxiv