Dresden 2011 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 20: Quantum Information: Concepts and Methods 3
Q 20.6: Talk
Tuesday, March 15, 2011, 11:45–12:00, SCH A118
Volume law scaling of entanglement entropy in spin-1/2 chains. — •Giuseppe Vitagliano1, Arnau Riera2, and José Ignacio Latorre3 — 1Theoretical Physics, The University of the Basque Country, E-48080 Bilbao, Spain — 2Institute of Physics and Astronomy, University of Potsdam, D-14476 Potsdam, Germany — 3Department d' Estructura i Constituents de la Matéria, Universitat de Barcelona, E-08028 Barcelona, Spain
We address the question whether a Hamiltonian with only nearest neighbor interaction can have a highly entangled ground state, in the sense that it presents a volume law scaling of the block entanglement entropy. For typical quantum systems the block entanglement entropy of the ground state follows an area-law scaling, with a logarithmic violation for quantum critical models. Nevertheless, we explicitly construct a spin-1/2 chain Hamiltonian that has the expected properties, breaking the translational invariance of the model. Its ground state is characterized by an accumulation of singlet bonds across the half chain.This result is also related to the QMA completeness of the 1D local Hamiltonian problem.