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We demonstrate an area law bound on the ground state entanglement entropy of a wide class of gapless quantum states of matter using a strategy called local entanglement thermodynamics.
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Y. Zhang, T. Grover, and A. Vishwanath, “Entanglement Entropy of Critical Spin Liquids,” Physical Review Letters
2011
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X.-G. Wen, “Topological order: from long-range entangled quantum matter to an unification of light and electrons,” ArXiv e-prints
2012
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B. Swingle, “Conformal Field Theory on the Fermi Surface,” Phys.Rev
2012
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B. Swingle and T. Senthil, “Geometric proof of the equality between entanglement and edge spectra,” Phys. Rev. B
2012
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L. Huijse, S. Sachdev, and B. Swingle, “Hidden Fermi surfaces in compressible states of gauge-gravity duality,” Phys. Rev. B
2012
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O. A. Castro-Alvaredo and B. Doyon, “Entanglement Entropy of Highly Degenerate States and Fractal Dimensions,” Physical Review Letters
2012
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B. Swingle and I. H. Kim, “Reconstructing quantum states from local data,” ArXiv e-prints
2014
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R. Movassagh and P. W. Shor, “Power law violation of the area law in critical spin chains,” ArXiv e-prints
2014
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B. Swingle and J. McGreevy, “Renormalization group constructions of topological quantum liquids and beyond,” ArXiv e-prints
2014
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A. C. Potter, “Boundary-law scaling of entanglement entropy in diffusive metals,” ArXiv e-prints
2014
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B. Swingle, J. McGreevy, and S. Xu, “RG circuits for gapless states,” to appear
2015
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