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Entanglement renormalization and boundary critical phenomena

Authors :
Silvi, P.
Giovannetti, V.
Calabrese, P.
Santoro, G. E.
Fazio, R.
Source :
J. Stat. Mech. (2010) L03001
Publication Year :
2009

Abstract

The multiscale entanglement renormalization ansatz is applied to the study of boundary critical phenomena. We compute averages of local operators as a function of the distance from the boundary and the surface contribution to the ground state energy. 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.<br />Comment: 6 pages, 4 figures; for a related work see arXiv:0912.1642

Details

Database :
arXiv
Journal :
J. Stat. Mech. (2010) L03001
Publication Type :
Report
Accession number :
edsarx.0912.2893
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1742-5468/2010/03/L03001