Results 51 to 60 of about 30,334 (209)

Bethe ansatz solution of the $Osp(1|2n)$ invariant spin chain [PDF]

, 1995
We have applied the analytical Bethe ansatz approach in order to solve the $Osp(1|2n)$ invariant magnet. By using the Bethe ansatz equations we have calculated the ground state energy and the low-lying dispersion relation.
Affleck, Baxter, Bazhanov, Blöte, de Vega, de Vega, de Vega, de Vega, Essler, Essler, Essler, Essler, Foerster, Frahm, Frahm, Hamer, Jimbo, Kawakami, Korepin, Kulish, Kulish, Kulish, M.J. Martins, Maassarani, Martins, Martins, Martins, Reshetikhin, Reshetikhin, Virchirko, Warnaar, Woynarovich, Woynarovich, Zhang   +33 more
core   +2 more sources

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, Francesco Ravanini, David Raveh   +2 more
wiley   +1 more source

Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries

SciPost Physics Core
We 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

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, Junpeng Cao, Panpan Xue, Zhi-Rong Xin, Kun Hao, Wen-Li Yang, Kangjie Shi, Yupeng Wang   +7 more
doaj   +1 more source

Non-regular eigenstate of the XXX model as some limit of the Bethe state

, 2001
For the one-dimensional XXX model under the periodic boundary conditions, we discuss two types of eigenvectors, regular eigenvectors which have finite-valued rapidities satisfying the Bethe ansatz equations, and non-regular eigenvectors which are ...
Alcaraz F C, Bethe H, Deguchi T, Deguchi T, Essler F H L, Fabricius K, Faddeev L D, Gaudin M, Izergin A G, Izergin A G, Jacobson N, Kirillov A N, Korepin V E, Kusakabe K, Siddharthan R, Takahashi M, Takahashi M, Takhtajan L, Takhtajan L, Takhtajan L A, Tarasov V, Tetsuo Deguchi, Woynarovich F, Yu N   +23 more
core   +1 more source

Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation [PDF]

, 2016
We study integrable models with $\mathfrak{gl}(2|1)$ symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe ...
Hutsalyuk, A., Liashyk, A., Pakuliak, S. Z., Ragoucy, E., Slavnov, N. A.   +4 more
core   +4 more sources

Bethe ansatz for QCD pomeron [PDF]

Nuclear Physics B, 1995
43 pages, LaTeX style, (one reference added)
openaire   +2 more sources

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, Theodore Kolokolnikov, Jeanette Janssen, Timothy Salamon   +3 more
wiley   +1 more source

Bethe ansatz and isomondromy deformations [PDF]

Theoretical and Mathematical Physics, 2009
We study symmetries of the Bethe equations for the Gaudin model appeared naturally in the framework of the geometric Langlands correspondence under the name of Hecke operators and under the name of Schlesinger transformations in the theory of isomonodromic deformations, and particularly in the theory of Painlev transcendents.
openaire   +3 more sources

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, Vivek Sundaram, Björn Baumeier   +2 more
wiley   +1 more source