Journal ArticleDOI
Temperature correlation functions in the XX0 Heisenberg chain. I
TLDR
In this article, space and time dependent correlation functions in the Heisenberg XX0 chain (in the transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators.Abstract:
Space and time dependent correlation functions in the Heisenberg XX0 chain (in the transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators. This is done in order to evaluate asymptotics of these correlations, which we shall do in next paper.read more
Citations
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Journal ArticleDOI
Spin spin correlation functions of the XXZ - 1/2 Heisenberg chain in a magnetic field
TL;DR: Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, the authors compute compact representations of the spin-spin correlation functions of the XXZ-1 2 Heisenberg chain in a magnetic field.
Journal ArticleDOI
Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
Nikolai Kitanine,Karol K. Kozlowski,J. M. Maillet,Nikita Andreevich Slavnov,Véronique Terras,Véronique Terras +5 more
TL;DR: In this article, a method to derive the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz is presented.
Book ChapterDOI
One-dimensional magnetism
TL;DR: In this article, an up-to-date survey of theoretical concepts and results in the field of one-dimensional magnetism and their relevance to experiments and real materials is presented, focusing on quantum phenomena in models of localized spins with isotropic exchange and additional interactions from anisotropy and external magnetic fields.
Journal ArticleDOI
Form factor approach to the asymptotic behavior of correlation functions in critical models
TL;DR: In this paper, a form factor approach was proposed for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models, which is applicable to a wide variety of integrable models and yields precisely the results stemming from the Luttinger liquid approach, the conformal field theory predictions and their previous analysis of the correlation functions from their multiple integral representations.
Journal ArticleDOI
A form factor approach to the asymptotic behavior of correlation functions in critical models
Nikolai Kitanine,Karol K. Kozlowski,J. M. Maillet,Nikita Andreevich Slavnov,Véronique Terras +4 more
TL;DR: In this paper, a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models has been proposed, which reduces the summation over all excited states to one over the particle/hole excitations lying on the Fermi surface in the thermodynamic limit.
References
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Journal ArticleDOI
Two soluble models of an antiferromagnetic chain
TL;DR: 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.
Journal ArticleDOI
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
Journal ArticleDOI
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.
Journal ArticleDOI
One-Dimensional Chain of Anisotropic Spin-Spin Interactions. I. Proof of Bethe's Hypothesis for Ground State in a Finite System
Chen Ning Yang,C. P. Yang +1 more
TL;DR: Bethe's hypothesis for the ground state of a one-dimensional cyclic chain of anisotropic nearest-neighbor spin-spin interactions was proved for any fixed number of down spins as mentioned in this paper.
Journal ArticleDOI
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
TL;DR: In this article, it was shown that the 2-point (resp. 2n-point) function or the 1-particle reduced density matrix satisfies a non-linear differential equation of Painleve type.