Entanglement entropies in conformal systems with boundaries

Year: 2013

Authors: Taddia L., Xavier J.C., Alcaraz F.C., Sierra G.

Autors Affiliation: Dipartimento di Fisica e Astronomia dell’Universita’ di Bologna and Istituto Nazionale di Fisica Nucleare, via Irnerio 46, 40126 Bologna, Italy;
Instituto de Fisica Teorica, Universidad Autonoma de Madrid/Consejo Superior de Investigaciones Cientificas, Universidad Autonoma de Madrid, Cantoblanco 28049, Madrid, Spain;
Instituto de Fisica, Universidade Federal de Uberlandia, Caixa Postal 593, 38400-902, Uberlandia, MG, Brazil;
Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 369, Sao Carlos, SP, Brazil

Abstract: We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that, for pure-state systems formed by the ground state or by the excited states associated to primary fields, the entanglement entropies have a finite-size behavior that depends on the correlation of the underlying field theory. The analytical results are checked numerically, finding excellent agreement for the quantum chains ruled by the theories with central charge c = 1/2 and 1.

Journal/Review: PHYSICAL REVIEW B

Volume: 88 (7)      Pages from: 075112  to: 075112

More Information: We thank M. I. Berganza, P. Calabrese, M. Dalmonte, and E. Ercolessi for helpful discussions. L.T. thanks F. Ortolani for his unvaluable help with the DMRG code. L.T. acknowledges financial support from Istituto Nazionale di Fisica Nucleare COM4 Grant No. NA41. J.C.X. and F.C.A. acknowledge financial support from the Brazilian agencies FAPEMIG, FAPESP, and CNPq. G.S. acknowledges financial support from Grant No. FIS2012-33642, QUITEMAD, and the Severo Ochoa Program.
DOI: 10.1103/PhysRevB.88.075112

Citations: 37
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