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arXiv · 0912.2893

Entanglement renormalization and boundary critical phenomena

P. Silvi·V. Giovannetti·P. Calabrese·G. E. Santoro·R. Fazio
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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.

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P. Silvi, V. Giovannetti, P. Calabrese, G. E. Santoro, R. Fazio. 2009-12-15. Entanglement renormalization and boundary critical phenomena. https://doi.org/10.1088/1742-5468%2F2010%2F03%2Fl03001

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