Results 61 to 70 of about 3,614 (216)
Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
core
Exact solution of the sp(4) integrable spin chain with generic boundaries
Journal of High Energy Physics, 2019 The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C 2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer matrices.
Guang-Liang Li +7 more
doaj +1 more source
Spin‐s$s$ Dicke States and Their Preparation
Advanced Quantum Technologies, Volume 7, Issue 12, December 2024.Dicke states are completely symmetric multi‐qubit states, which have many applications in quantum information and quantum computing. This work introduces higher‐spin generalizations of Dicke states, and formulates an efficient quantum circuit for preparing them on a quantum computer. The complete circuit diagram for the spin‐1 Dicke state |D2,2(1)⟩=16(|
Rafael I. Nepomechie +2 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
Attainable bounds for algebraic connectivity and maximally connected regular graphs
Journal of Graph Theory, Volume 107, Issue 3, Page 522-549, November 2024.Abstract We derive attainable upper bounds on the algebraic connectivity (spectral gap) of a regular graph in terms of its diameter and girth. This bound agrees with the well‐known Alon–Boppana–Friedman bound for graphs of even diameter, but is an improvement for graphs of odd diameter. For the girth bound, we show that only Moore graphs can attain it,
Geoffrey Exoo +3 more
wiley +1 more source
Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates [PDF]
, 2006 Using the Bethe ansatz we obtain in a determinant form the exact solution of the master equation for the conditional probabilities of the totally asymmetric exclusion process with particle-dependent hopping rates on Z.
Schütz, G. M. +2 more
core
Bethe ansatz inside Calogero-Sutherland models [PDF]
, 2023 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 ...
Serban, Didina +3 more
core +1 more source
Embedded Many‐Body Green's Function Methods for Electronic Excitations in Complex Molecular Systems
WIREs Computational Molecular Science, Volume 14, Issue 6, November/December 2024.ABSTRACT Many‐body Green's function theory in the GW approximation with the Bethe–Salpeter equation (BSE) provides a powerful framework for the first‐principles calculations of single‐particle and electron–hole excitations in perfect crystals and molecules alike. Application to complex molecular systems, for example, solvated dyes, molecular aggregates,
Gianluca Tirimbó +2 more
wiley +1 more source
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.
openaire +2 more sources