On correlation functions for the open XXZ chain with non-longitudinal boundary fields: The case with a constraint

Autor: Giuliano Niccoli, Véronique Terras

Publikováno v: SciPost Physics, Vol 16, Iss 4, p 099 (2024)

This paper is a continuation of [J. Phys. A: Math. Theor. 55, 405203 (2022)], in which a set of matrix elements of local operators was computed for the XXZ spin-1/2 open chain with a particular case of unparallel boundary fields. Here, we extend thes

Externí odkaz: https://doaj.org/article/5a9147a3f0b7436b9bf043851ce680cd

Separation of variables bases for integrable $gl_{\mathcal{M}|\mathcal{N}}$ and Hubbard models

Autor: Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli

Publikováno v: SciPost Physics, Vol 9, Iss 4, p 060 (2020)

We construct quantum Separation of Variables (SoV) bases for both the fundamental inhomogeneous $gl_{\mathcal{M}|\mathcal{N}}$ supersymmetric integrable models and for the inhomogeneous Hubbard model both defined with quasi-periodic twisted bounda

Externí odkaz: https://doaj.org/article/056e978c62d04f77a3c9e3973d5c1073

Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I

Autor: Jean Michel Maillet, Giuliano Niccoli, Baptiste Pezelier

Publikováno v: SciPost Physics, Vol 2, Iss 1, p 009 (2017)

We study the transfer matrix spectral problem for the cyclic representations of the trigonometric 6-vertex reflection algebra associated to the Bazhanov-Stroganov Lax operator. The results apply as well to the spectral analysis of the lattice sine

Externí odkaz: https://doaj.org/article/1db116920fb8493abbe654db34fb9984

Correlation functions by separation of variables: the XXX spin chain

Autor: Hao Pei, Véronique Terras, Giuliano Niccoli

Publikováno v: SciPost Physics
SciPost Physics, 2021, 10 (1), pp.006. ⟨10.21468/SciPostPhys.10.1.006⟩
SciPost Physics, Vol 10, Iss 1, p 006 (2021)
SciPost Physics, SciPost Foundation, 2021, 10 (1), pp.006. ⟨10.21468/SciPostPhys.10.1.006⟩
SciPost Physics, 2021, 10 (1), ⟨10.21468/SciPostPhys.10.1.006⟩
SciPost Physics, SciPost Foundation, 2021, 10 (1), ⟨10.21468/SciPostPhys.10.1.006⟩

We explain how to compute correlation functions at zero temperature within the framework of the quantum version of the Separation of Variables (SoV) in the case of a simple model: the XXX Heisenberg chain of spin 1/2 with twisted (quasi-periodic) bou

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf01ff83ee27ee760a3e22e44ef9c39e
https://hal.science/hal-02634723

Separation of variables bases for integrable $gl_{\mathcal{M}|\mathcal{N}}$ and Hubbard models

Autor: Giuliano Niccoli, Louis Vignoli, J. M. Maillet

Publikováno v: SciPost Phys.
SciPost Phys., 2020, 9, pp.060. ⟨10.21468/SciPostPhys.9.4.060⟩
SciPost Physics
SciPost Physics, SciPost Foundation, 2020, ⟨10.21468/SciPostPhys.9.4.060⟩
SciPost Physics, 2020, ⟨10.21468/SciPostPhys.9.4.060⟩
SciPost Physics, Vol 9, Iss 4, p 060 (2020)

We construct quantum Separation of Variables (SoV) bases for both the fundamental inhomogeneous $gl_{\mathcal{M}|\mathcal{N}}$ supersymmetric integrable models and for the inhomogeneous Hubbard model both defined with quasi-periodic twisted boundary

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f901685554aee3d17166df1640f4152a
https://hal.archives-ouvertes.fr/hal-02272662