Open Access
Quantum Inverse Scattering Method and Correlation Functions
Vladimir E. Korepin,N. M. Bogoliubov,A. G. Izergin +2 more
- pp 575
TLDR
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
Citations
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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.
Journal ArticleDOI
Thermalization and its mechanism for generic isolated quantum systems
TL;DR: It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.
Journal ArticleDOI
Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons
Maxim Olshanii,Maxim Olshanii +1 more
TL;DR: In this article, a one-dimensional scattering amplitude and effective 1D interaction potential for atoms confined transversally by an atom waveguide or highly elongated ''cigar''-shaped atomic trap was calculated.
Journal ArticleDOI
Tonks–Girardeau gas of ultracold atoms in an optical lattice
B. Paredes,Artur Widera,Valentin Murg,Olaf Mandel,Simon Fölling,Ignacio Cirac,G. V. Shlyapnikov,G. V. Shlyapnikov,Theodor W. Hänsch,Immanuel Bloch +9 more
TL;DR: A theoretical prediction of the momentum distribution is made based on an approach in which trapped bosons acquire fermionic properties, finding that it agrees closely with the measured distribution.
MonographDOI
The one-dimensional Hubbard model
TL;DR: In this article, the authors present an algebraic approach to the Hubbard model and a path integral approach to thermodynamics, as well as the Yangian symmetry of the model in the infinite interval limit.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
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
Journal ArticleDOI
On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
Journal ArticleDOI
Thermalization and its mechanism for generic isolated quantum systems
TL;DR: It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.
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.