Results 41 to 50 of about 30,334 (209)

Algebraic Bethe ansatz for the gl(1$|$2) generalized model II: the three gradings

, 2004
The algebraic Bethe ansatz can be performed rather abstractly for whole classes of models sharing the same $R$-matrix, the only prerequisite being the existence of an appropriate pseudo vacuum state.
Alexander Seel, Essler F H L, Frank Göhmann, Göhmann F, Göhmann F, Göhmann F, Hibberd K E, Klümper A, Korepin V E, Korepin V E, Kulish P P, Kulish P P, Kulish P P, Kulish P P, Kulish P P, Kulish P P, Lai C K, Maassarani Z, Marcu M, Pfannmüller M, Reshetikhin N Yu, Scheunert M, Schlottmann P, Slavnov N A, Sutherland B, Tarasov V O, Tarasov V O   +26 more
core   +1 more source

Bethe Ansatz inside Calogero-Sutherland models

SciPost Physics
We study the trigonometric quantum spin-Calogero–Sutherland model, and the Haldane–Shastry spin chain as a special case, using a Bethe-Ansatz analysis. We harness the model's Yangian symmetry to import the standard tools of integrability for Heisenberg ...
Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk, Didina Serban
doaj   +1 more source

Spin-12 XYZ model revisit: General solutions via off-diagonal Bethe ansatz

Nuclear Physics B, 2014
The spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T–Q ...
Junpeng Cao, Shuai Cui, Wen-Li Yang, Kangjie Shi, Yupeng Wang   +4 more
doaj   +1 more source

Bethe States of the integrable spin-s chain with generic open boundaries

, 2015
Based on the inhomogeneous T-Q relation and the associated Bethe Ansatz equations obtained via the off-diagonal Bethe Ansatz, we construct the Bethe-type eigenstates of the SU(2)-invariant spin-s chain with generic non-diagonal boundaries by employing ...
Cao, Junpeng, Shi, Kangjie, Wang, Yupeng, Yang, Lijun, Yang, Wen-Li, Zhang, Xin   +5 more
core   +1 more source

On the Replica Symmetric Solution in General Diluted Spin Glasses

Random Structures &Algorithms, Volume 66, Issue 4, July 2025.
ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
wiley   +1 more source

The Exact Solution of the SU(3) Hubbard Model

, 1999
The Bethe ansatz equations of the 1-D SU(3) Hubbard model are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model. We first derive the scattering matrix of the SU(3) Hubbard model through the coordinate Bethe ansatz
Asakawa, Boyu Hou, Carmelo, Coll, Dantao Peng, Deguchi, Eßler, Frahm, Kawakami, Klümper, Kowa, Lieb, Maassarani, Maassarani, Maassarani, Martins, Martins, Olmedilla, Ovchinnikov, Ruihong Yue, Shastry, Shiba, Shiroishi, Takahashi, Takahashi, Uimin, Woynarovich, Woynarovich, Yang, Yang, Yue, Yue   +31 more
core   +3 more sources

Bethe Ansatz solution of the open XX spin chain with nondiagonal boundary terms [PDF]

, 2001
We consider the integrable open XX quantum spin chain with nondiagonal boundary terms. We derive an exact inversion identity, using which we obtain the eigenvalues of the transfer matrix and the Bethe Ansatz equations.
Nepomechie, Rafael I.
core   +2 more sources

Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

Advanced Quantum Technologies, Volume 8, Issue 3, March 2025.
Detection and certification of entanglement and quantum correlations in materials is of fundamental and far‐reaching importance for both basic science and identification of systems suitable for novel technologies. This review article comprehensively covers witnesses suitable to condensed matter, their derivations and experimental applications.
Pontus Laurell, Allen Scheie, Elbio Dagotto, D. Alan Tennant   +3 more
wiley   +1 more source

Bethe Ansatz, quantum circuits, and the F-basis

SciPost Physics
The Bethe Ansatz is a method for constructing exact eigenstates of quantum-integrable spin chains. Recently, deterministic quantum algorithms, referred to as "algebraic Bethe circuits", have been developed to prepare Bethe states for the spin-$1/2$ XXZ ...
Roberto Ruiz, Alejandro Sopena, Esperanza López, Germán Sierra, Balázs Pozsgay
doaj   +1 more source

Extended Bethe-Richardson-Gaudin ansatzes for the solution of a mean-field plus separable pairing model with three non-degenerate j-orbits

Physics Letters B, 2022
Based on the Bethe-Richardson-Gaudin ansatz for the standard pairing model, extended Bethe- Richardson-Gaudin ansatzes for eigenvectors of a spherical mean-field plus separable pairing model with three non-degenerate j-orbits are proffered.
Feng Pan, Yingxin Wu, Shengze Guan, Zhibo Qu, Lianrong Dai, J.P. Draayer   +5 more
doaj   +1 more source