In this paper we study interacting quantum systems defined on a one-dimensional lattice with arbitrary boundary conditions, and employ the multiscale entanglement renormalization ansatz to study boundary critical phenomena. We show how to compute the average of any local operator as a function of the distance from the boundary as well as the deviation of the ground state energy due to the presence of the boundary. Furthermore, assuming a uniform tensor structure, we show that the multiscale entanglement renormalization ansatz implies an exact relation between bulk and boundary critical exponents known to exist for boundary critical systems.
|Titolo:||Entanglement renormalization and boundary critical phenomena|
|Autori:||Silvi P; Giovannetti V; Calabrese P; Giuseppe E. Santoro; Fazio R|
|Rivista:||JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT|
|Data di pubblicazione:||2010|
|Digital Object Identifier (DOI):||10.1088/1742-5468/2010/03/L03001|
|Appare nelle tipologie:||1.1 Journal article|