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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.A dynamical system is studied such that belongs to a class of Buslaev nets. This class contains traffic models with complex network structure. We provide results for a more general system than the system that was in consideration earlier. A new version of model has been provided.
Marina Yashina +3 more
wiley +1 more source
Z(_N)-symmetric field theories and the thermodynamic Bethe ansatz [PDF]
, 1996 This thesis is concerned with perturbed conformal field theory, the thermodynamic Bethe ansatz technique and applications to statistical mechanics. In particular, the phase space of two dimensional Z(_N)-symmetric statistical models is examined using ...
Thompson, K.E., Thompson, Kevin Edward
core
Persistent Currents and Bethe Ansatz [PDF]
, 2011 The system of two electrons interacting with a single impurity in 1D metallic ring is considered illustrating the applicability of the Bethe ...
Matulis, A., Kiršanskas, G.
core +1 more source
Bethe Ansatz, quantum circuits, and the F-basis
SciPost PhysicsThe 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
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 +5 more
doaj +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 Bethe-Ansatz for Gaudin Spin Chains [PDF]
, 2008 We investigate a special case of the quantum integrable Heisenberg spin chain known as Gaudin model. The Gaudin model is an important example of quantum integrable systems. We study the Gaudin model for the Lie algebra s[z(
Kowalik, Ilona
core
On the spectrum of the AdS(5) x S-5 string at large lambda [PDF]
, 2011 archiveprefix: arXiv primaryclass: hep-th reportnumber: HU-EP-10-85 slaccitation: %%CITATION = ARXIV:1012.4471;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: HU-EP-10-85 slaccitation: %%CITATION = ARXIV:1012.4471;%
Filippo Passerini +11 more
core +1 more source
Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries
SciPost Physics CoreWe study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe quantum systems exhibiting novel long-range interactions.
Xiaotian Xu, Pei Sun, Xin Zhang, Junpeng Cao, Tao Yang
doaj +1 more source
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 +3 more
wiley +1 more source