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.

Entanglement renormalization and boundary critical phenomena / Silvi, P; Giovannetti, V; Calabrese, Pasquale; Santoro, Giuseppe Ernesto; Fazio, R.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2010:3(2010), pp. L03001.1-L03001.14. [10.1088/1742-5468/2010/03/L03001]

Entanglement renormalization and boundary critical phenomena

Calabrese, Pasquale;Santoro, Giuseppe Ernesto;
2010-01-01

Abstract

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.
2010
2010
3
1
14
L03001
Silvi, P; Giovannetti, V; Calabrese, Pasquale; Santoro, Giuseppe Ernesto; Fazio, R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16186
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