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Quantum Inverse Scattering Method and Correlation Functions
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One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References as discussed by the authorsAbstract:
One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References.read more
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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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One-dimensional Fermi liquids
TL;DR: In this article, the authors review the progress in the theory of one-dimensional (ID) Fermi liquids which has occurred over the past decade and present a description of the low-energy properties of gapless 1D quantum systems can be based on the exactly solvable Luttinger model which incorporates these features, and whose correlation functions can be calculated.
How algebraic Bethe ansatz works for integrable model
TL;DR: In this paper, the authors used algebraic Bethe Ansatz for solving integrable models and showed how it works in detail on the simplest example of spin 1/2 XXX magnetic chain.
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The kardar-parisi-zhang equation and universality class
TL;DR: In this article, the authors present a survey of the development of the Kardar-Parisi-Zhang (KPZ) universality class and its application to a wide class of physical and probabilistic models.
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Time evolution of local observables after quenching to an integrable model.
TL;DR: This work argues that the behavior of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate, and presents a method for constructing this representative state by means of a generalized thermodynamic Bethe ansatz.
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
Journal ArticleDOI
Exact analysis of an interacting bose gas. i. the general solution and the ground state
Elliott H. Lieb,Werner Liniger +1 more
TL;DR: In this paper, the ground-state energy as a function of γ was derived for all γ, except γ = 0, and it was shown that Bogoliubov's perturbation theory is valid when γ is small.
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Zur Theorie des Ferromagnetismus
TL;DR: In this paper, die Weissschen Molekularkrafte werden zuruckgefuhrt auf ein quantenmechanisches Austauschphanomen; and zwar handelt es sich um diejenigenAustauschvorgange, die in letzter Zeit von Heitier und London mit Erfolg zur Deutung der homoopolaren Valenzkrafte herangezogen worden sind.
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Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
Chen Ning Yang,C.P. Yang +1 more
TL;DR: In this paper, the equilibrium thermodynamics of a one-dimensional system of bosons with repulsive delta function interaction was derived from the solution of a simple integral equation, and the excitation spectrum at any temperature T was also found.