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Introduction to the nested algebraic Bethe ansatz
SciPost Physics Lecture Notes, 2020 We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a $\mathfrak{gl}_3$-invariant $R$-matrix as the basic example, however, we also describe possible generalizations.
N. A. Slavnov
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Bethe ansatz for quantum-deformed strings
Journal of High Energy Physics, 2021 Two distinct η-deformations of strings on AdS5 ×S5 can be defined; both amount to integrable quantum deformations of the string non-linear sigma model, but only one is itself a superstring background.
Fiona K. Seibold, Alessandro Sfondrini
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, 2001 Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded Quantum Inverse Scattering Method.
Abad J +19 more
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Heavenly metrics, hyper‐Lagrangians and Joyce structures
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract In [Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2021, pp. 1–66], Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space M$M$ of stability conditions of a CY3$CY_3$ triangulated category.
Maciej Dunajski, Timothy Moy
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Two‐Time Quantum Fluctuations Approach and Its Relation to the Bethe–Salpeter Equation
physica status solidi (b), Volume 261, Issue 9, September 2024.The Bethe–Salpeter equation is combined with the generalized Kadanoff–Baym ansatz to derive a two‐time version of the GW approximation. This approximation is compared to the polarization approximation to show the relation between the two‐time fluctuations approach and the Bethe–Salpeter equation. Nonequilibrium results for the density response function
Erik Schroedter, Michael Bonitz
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Nuclear Physics B, 2015 The small polaron, a one-dimensional lattice model of interacting spinless fermions, with generic non-diagonal boundary terms is studied by the off-diagonal Bethe ansatz method. The presence of the Grassmann valued non-diagonal boundary fields gives rise
Xiaotian Xu +4 more
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Semiclassical Bethe ansatz and AdS/CFT [PDF]
Fortschritte der Physik, 2005 AbstractThe Bethe ansatz can be used to compute anomalous dimensions in 𝒩 = 4 SYM theory. The classical solutions of the sigma‐model on AdS5 × S5 can also be parameterized by an integral equation of Bethe type. The relationship between the two Bethe ansätze is reviewed.
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Accelerating Nonequilibrium Green Functions Simulations: The G1–G2 Scheme and Beyond
physica status solidi (b), Volume 261, Issue 9, September 2024.This article reviews recent developments in the theory of nonequilibrium Green functions (NEGF) where dramatic accelerations are achieved within the time‐local G1–G2 scheme. As a result, longer simulations with more accurate selfenergies are possible. The figure shows an illustration ‐ optical excitation of graphene by a short laser pulse: snapshot of ...
Michael Bonitz +5 more
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, 1998 New classes of integrable boundary conditions for the q-deformed (or two-parameter) supersymmetric U model are presented. The boundary systems are solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are derived.Comment:
Arnaudon +14 more
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Introduction to the Bethe Ansatz II
Computers in Physics, 1998 Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s=1/2 Heisenberg antiferromagnet in zero and nonzero magnetic field. The 2-spinon triplet and singlet excitations from the zero-field ground state are discussed in detail, and
Karbach, Michael +2 more
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