Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Samuel Belliard"'
Publikováno v:
SciPost Physics, Vol 16, Iss 1, p 009 (2024)
We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version of this model is given by a modified Izergin determ
Externí odkaz:
https://doaj.org/article/f0babec132b04cccae826549d10a1a30
Autor:
Pascal Baseilhac, Samuel Belliard
Publikováno v:
Nuclear Physics B, Vol 916, Iss C, Pp 373-385 (2017)
The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an analog of the Chevalley-type presentation is given for the corresponding
Externí odkaz:
https://doaj.org/article/a42ded5ce5a04e0282ef86c2258d7db1
Autor:
Samuel Belliard
Publikováno v:
Nuclear Physics B, Vol 892, Iss , Pp 1-20 (2015)
The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to characterize the spectral problem of the Heisenberg XXZ spin-12 chain on the segment with lower and upper triangular boundaries. The eigenvalues and the eigenve
Externí odkaz:
https://doaj.org/article/1fce831d14d6477da924399abf5fea26
Autor:
Samuel Belliard, Nicolas Crampé
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 072 (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. The ansatz takes the usual fo
Externí odkaz:
https://doaj.org/article/527b5bca88754471bbb1591e9e70cd87
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 058 (2013)
We study quantum integrable models with GL(3) trigonometric $R$-matrix and solvable by the nested algebraic Bethe ansatz.Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine a
Externí odkaz:
https://doaj.org/article/a56877e49278490bbf8a102bf88f932a
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 094 (2010)
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U_q(^gl_3) is given. This result is obtained in the framework of the universal Bethe ansatz, using p
Externí odkaz:
https://doaj.org/article/57ef387fd7c744709b1af078fb447023
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 209:82-100
Рассматривается перекрытие векторов Бете спиновой $XXX$-цепочки с диагональным твистом и модифицированных векторов Бете с общим твистом.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99308612e0697cbee41c25443ba1a05b
https://doi.org/10.4213/tmf10136
https://doi.org/10.4213/tmf10136
Autor:
Samuel Belliard, N. A. Slavnov
Publikováno v:
Theoretical and Mathematical Physics
Theoretical and Mathematical Physics, Consultants bureau, 2021, 209, pp.1. ⟨10.1134/S0040577921100056⟩
Theoretical and Mathematical Physics, Consultants bureau, 2021, 209, pp.1. ⟨10.1134/S0040577921100056⟩
We consider the overlap of Bethe vectors of the XXX spin chain with a diagonal twist and the modified Bethe vectors with a general twist. We find a determinant representation for this overlap under one additional condition on the twist parameters. Su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af82161931b214a097aba3c0f048f5c6
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We calculate the scalar product of Bethe states of the XXZ spin-$\frac{1}{2}$ chain with general integrable boundary conditions. The off-shell equations satisfied by the transfer matrix and the off-shell Bethe vectors allow one to derive a linear sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5b09ed46529da0c22440fa438f0e7bf
https://doi.org/10.1088/1751-8121/ac1482
https://doi.org/10.1088/1751-8121/ac1482
Publikováno v:
SIGMA
SIGMA, 2019, 15, pp.066. ⟨10.3842/SIGMA.2019.066⟩
SIGMA, 2019, 15, pp.066. ⟨10.3842/SIGMA.2019.066⟩
International audience; We consider XXX spin-$1/2$ Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b0ef968a6b3a57ec04b0283462f8a19
https://hal.archives-ouvertes.fr/hal-02178562
https://hal.archives-ouvertes.fr/hal-02178562