Journal ArticleDOI
Exact integrability of the one-dimensional Hubbard model.
TLDR
It is shown in this work that any two transfer matrices of a family commute mutually, at the root of the commutation relation is the ubiquitous Yang-Baxter factorization condition.Abstract:
The 1D Hubbard model is shown to be an exactly integrable system. A "covering" model of 2D statistical mechanics which I proposed recently was shown to provide a one-parameter family of transfer matrices, commuting with the Hamiltonian of the Hubbard model. I show in this work that any two transfer matrices of a family commute mutually. At the root of the commutation relation is the ubiquitous Yang-Baxter factorization condition. The form of the $R$ operator is displayed explicitly.read more
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Journal ArticleDOI
Fermi gases in one dimension: From Bethe ansatz to experiments
TL;DR: In this paper, theoretical and experimental developments for one-dimensional Fermi gases are discussed. But the exact results obtained for Bethe ansatz integrable models of this kind enable the study of the nature and microscopic origin of a wide range of quantum many-body phenomena driven by spin population imbalance, dynamical interactions, and magnetic fields.
Journal ArticleDOI
The analytic Bethe ansatz for a chain with centrally extended su(2|2) symmetry
TL;DR: In this article, the integrable structure of spin chain models with centrally extended su(2|2) and psu(2, 2|4) symmetry is investigated.
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On string S-matrix, bound states and TBA
Gleb Arutyunov,Sergey Frolov +1 more
TL;DR: In this article, the authors studied the effect of finite J effects on the light-cone AdS5???S5 superstring by means of the Thermodynamic Bethe Ansatz.
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String hypothesis for the AdS5 × S5 mirror
Gleb Arutyunov,Sergey Frolov +1 more
TL;DR: In this article, the Bethe-Yang equations for the mirror theory were analyzed in the thermodynamic limit of the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation.
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Quantum deformations of the one-dimensional Hubbard model
Niklas Beisert,Peter Koroteev +1 more
TL;DR: In this article, the centralised superalgebra psu(2|2) �R 3 was considered for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence.