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pro vyhledávání: '"Niccoli, G"'
Autor:
Niccoli, G., Terras, V.
We consider the open XYZ spin chain with boundary fields. We solve the model by the new Separation of Variables approach introduced in arXiv:1904.00852. In this framework, the transfer matrix eigenstates are obtained as a particular sub-class of the
Externí odkaz:
http://arxiv.org/abs/2402.04112
Autor:
Niccoli, G., Terras, V.
Publikováno v:
SciPost Phys. 16, 099 (2024)
This paper is a continuation of [1], 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 these results to the more general case in whi
Externí odkaz:
http://arxiv.org/abs/2208.10097
Autor:
Niccoli, G., Terras, V.
In this paper we continue our derivation of the correlation functions of open quantum spin 1/2 chains with unparallel magnetic fields on the edges; this time for the more involved case of the XXZ spin 1/2 chains. We develop our study in the framework
Externí odkaz:
http://arxiv.org/abs/2202.12870
Autor:
Niccoli, G.
In this first paper, we start the analysis of correlation functions of quantum spin chains with general integrable boundary conditions. We initiate these computations for the open XXX spin 1/2 quantum chains with some unparallel magnetic fields allow
Externí odkaz:
http://arxiv.org/abs/2105.07992
Publikováno v:
SciPost Phys. 10, 006 (2021)
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:
http://arxiv.org/abs/2005.01334
Publikováno v:
SciPost Phys. 9, 086 (2020)
Using the framework of the quantum separation of variables (SoV) for higher rank quantum integrable lattice models [1], we introduce some foundations to go beyond the obtained complete transfer matrix spectrum description, and open the way to the com
Externí odkaz:
http://arxiv.org/abs/2003.04281
Publikováno v:
SciPost Phys. 9, 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:
http://arxiv.org/abs/1907.08124
Autor:
Maillet, J. M., Niccoli, G.
Publikováno v:
J. Stat. Mech. (2019) 094020
We implement our new Separation of Variables (SoV) approach for open quantum integrable models associated to higher rank representations of the reflection algebras. We construct the (SoV) basis for the fundamental representations of the $Y(gl_n)$ ref
Externí odkaz:
http://arxiv.org/abs/1904.00852
Autor:
Maillet, J. M., Niccoli, G.
Publikováno v:
SciPost Phys. 10, 026 (2021)
We describe the extension, beyond fundamental representations of the Yang-Baxter algebra, of our new construction of separation of variables bases for quantum integrable lattice models. The key idea underlying our approach is to use the commuting con
Externí odkaz:
http://arxiv.org/abs/1903.06618
Autor:
Maillet, J. M., Niccoli, G.
Publikováno v:
2019 J. Phys. A: Math. Theor. 52 315203
In this paper we apply our new separation of variables approach to completely characterize the transfer matrix spectrum for quantum integrable lattice models associated to fundamental evaluation representations of $\mathcal{U}_{q} (\widehat{gl_{n}})$
Externí odkaz:
http://arxiv.org/abs/1811.08405