States and the possibility of their efficient numerical simulation. This entanglement entropy exhibits qualitatively different behaviour from that of classical entropy and has been used in theoretical physics to probe various properties of many-body systems. Is devoted to the quantitative connection between the entanglement content of Non-equilibrium situations, classical correlation concepts, and topologicalĮntanglement entropies are discussed. Related to the velocity of information propagation, and disordered systems, Similarities between bosonic and fermionic models are stressed, area laws are Lattice models in one and higher spatial dimensions. Center stage is taken by rigorous results on In this Colloquium we review the current status Many-body physics where they have important implications on the numerical In the context of black hole physics, quantum information science, and quantum They emerge in several seemingly unrelated fields, Such "area laws"įor the entanglement entropy and related quantities have received considerableĪttention in recent years. Volume, in sharp contrast with an expected extensive behavior. Often merely grows like the boundary area of the subregion, and not like its This entropy of the reduced state of a subregion Locality of interactions is inherited by a decay of correlation functions, butĪlso reflected by scaling laws of a quite profound quantity: The entanglementĮntropy of ground states. Individual constituents interact mainly with their few nearest neighbors. Eisert and 2 other authors Download PDF Abstract: Physical interactions in quantum many-body systems are typically local: Download a PDF of the paper titled Area laws for the entanglement entropy - a review, by J.
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