Results 51 to 60 of about 840 (180)
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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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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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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BETHE ANSATZ AND QUANTUM GROUPS
Quantum Groups, Integrable Statistical Models and Knot Theory, 1993 The formulation and resolution of integrable lattice statistical models in a quantum group covariant way is the subject of this review. The Bethe Ansatz turns to be remarkably useful to implement quantum group symmetries and to provide quantum group representations even when $q$ is a root of unity.
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MONTE–CARLO THERMODYNAMIC BETHE ANSATZ [PDF]
International Journal of Modern Physics B, 2006 We introduce a Monte–Carlo simulation approach to thermodynamic Bethe ansatz (TBA). We exemplify the method on one-particle integrable models, which include a free boson and a free fermions systems along with the scaling Lee–Yang model (SLYM). It is confirmed that the central charges and energies are correct to a very good precision, typically 0.1% or
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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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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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Beyond Electrons: Correlation and Self‐Energy in Multicomponent Density Functional Theory
ChemPhysChem, Volume 25, Issue 13, July 2, 2024.Developing robust methods to describe the behavior of fermions embedded into an electronic system is vital to computationally tackle these complicated quantum systems. Introducing various new approaches, including a common auxiliary subspace multicomponent resolution‐of‐the‐identity approach, this work provides powerful techniques to extract ...
Christof Holzer, Yannick J. Franzke
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SciPost PhysicsBethe Ansatz equations for spin-s Heisenberg spin chain with s≥1 are significantly more difficult to analyze than the spin-$\tfrac{1}{2}$ case, due to the presence of repeated roots. As a result, it is challenging to derive extra conditions for the Bethe
Jue Hou, Yunfeng Jiang, Rui-Dong Zhu
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Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al.
Samuel Belliard, Nicolas Crampé
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