Journal ArticleDOI
Two soluble models of an antiferromagnetic chain
TLDR
In this article, two genuinely quantum models for an antiferromagnetic linear chain with nearest neighbor interactions are constructed and solved exactly, in the sense that the ground state, all the elementary excitations and the free energy are found.About:
This article is published in Annals of Physics.The article was published on 1961-12-01. It has received 3382 citations till now. The article focuses on the topics: Ground state & Heisenberg model.read more
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Entanglement in many-body systems
TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.
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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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Scaling of entanglement close to a quantum phase transition
TL;DR: It is demonstrated, for a class of one-dimensional magnetic systems, that entanglement shows scaling behaviour in the vicinity of the transition point, which connects the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point.
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Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
TL;DR: In this article, the authors review recent developments in the physics of ultracold atomic and molecular gases in optical lattices and show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics.
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'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
TL;DR: The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called "LUTtinger liquid theory" as mentioned in this paper.
References
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Zur Theorie der Metalle
TL;DR: In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz
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On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
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Über das Paulische Äquivalenzverbot
Pascual Jordan,Eugene P. Wigner +1 more
TL;DR: In this paper, a quantenmechanik der Gasentartung is discussed, e.g., ein ideales oder nichtideales Gase, der Paulischen Aquivalenzverbot unterworfenes Gas zu beschreiben with begriffen, die keinen Bezug nehmen auf den abstrakten Koordinatenraum der Atomgesamtheit des Gases, sondern nur den gewohnlichen dreidimensionalen Raum benut
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About the Pauli exclusion principle
Pascual Jordan,Eugene P. Wigner +1 more
TL;DR: In this article, eine Fortsetzung der kurzlich von einem der Verfasser vorgelegten Note „Zur Quantenmechanik der Gasentartung“, deren Ergebnisse hier wesentlich erweitert werden.
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The Evaluation of the Collision Matrix
TL;DR: In this paper, Dyson's systematic approach to the reduction of the Heisenberg $S$-Matrix into a sum of "graph" terms can be simplified, and a notation is introduced and an algebraic theorem is proved.