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Quantum Thermodynamics

Entanglement scaling in two-dimensional gapless systems

arXiv
Authors: Hyejin Ju, Ann B. Kallin, Paul Fendley, Matthew B. Hastings, Roger G. Melko

Year

2011

Paper ID

31116

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

Abstract

We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with Néel order, a free Dirac fermion in the π-flux phase, and the nearest-neighbor resonating-valence-bond wavefunction. For these models, we show that the entanglement entropy between cylindrical regions of length x and L - x, extending around a torus of length L, depends upon the dimensionless ratio x/L. This can be well-approximated on finite-size lattices by a function ln(sin(πx/L)), akin to the familiar chord-length dependence in one dimension. We provide evidence, however, that the precise form of this bulk-dependent contribution is a more general function in the 2D thermodynamic limit.

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  • We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1112.4474 [2] arXiv https://arxiv.org/abs/1112.4474 [3] Publisher https://arxiv.org/abs/1112.4474

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