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Operator algebras and quantum statistical mechanics
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The article was published on 1979-01-01 and is currently open access. It has received 3929 citations till now. The article focuses on the topics: Quantum statistical mechanics & Ladder operator.read more
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Colloquium: Area laws for the entanglement entropy
TL;DR: In this paper, the current status of area laws in quantum many-body systems is reviewed and a significant proportion is devoted to the clear and quantitative connection between the entanglement content of states and the possibility of their efficient numerical simulation.
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Finitely correlated states on quantum spin chains
TL;DR: In this paper, a construction that yields a class of translation invariant states on quantum spin chains, characterized by the property that the correlations across any bond can be modeled on a finite-dimensional vector space.
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Valence Bond Ground States in Isotropic Quantum Antiferromagnets
TL;DR: The first rigorous example of an isotropic model in such a phase is presented in this paper, where the Hamiltonian has an exactSO(3) symmetry and is translationally invariant, but the model has a unique ground state and exponential decay of the correlation functions in the ground state.
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Scale Invariance of the PNG Droplet and the Airy Process
Michael Prähofer,Herbert Spohn +1 more
TL;DR: In this article, it was shown that the static height fluctuations of a particular growth model, the PNG droplet, converges upon proper rescaling to a limit process, which is called the Airy process A(y).