Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Kitanine, N."'
In our previous paper [1] we have obtained, for the XXX spin-1/2 Heisenberg open chain, new determinant representations for the scalar products of separate states in the quantum separation of variables (SoV) framework. In this article we perform a si
Externí odkaz:
http://arxiv.org/abs/1807.05197
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 224001
We consider the XXX open spin-1/2 chain with the most general non-diagonal boundary terms, that we solve by means of the quantum separation of variables (SoV) approach. We compute the scalar products of separate states, a class of states which notabl
Externí odkaz:
http://arxiv.org/abs/1606.06917
On determinant representations of scalar products and form factors in the SoV approach: the XXX case
Publikováno v:
J. Phys. A, Vol. 49 (Special Issue) 104002 (2016)
In the present article we study the form factors of quantum integrable lattice models solvable by the separation of variables (SoV) method. It was recently shown that these models admit universal determinant representations for the scalar products of
Externí odkaz:
http://arxiv.org/abs/1506.02630
Autor:
Kitanine, N.
Dans ce mémoire d'habilitation je présente mes travaux recents sur les chaînes de spin quantiques. Les chaînes de spin constituent l'exemple le plus fondamental de modèles intégrables quantiques. Ces modèles ont plusieurs applications directes
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00175290
http://tel.archives-ouvertes.fr/docs/00/17/52/90/PDF/hdr.pdf
http://tel.archives-ouvertes.fr/docs/00/17/52/90/PDF/hdr.pdf
Publikováno v:
J. Stat. Mech., P05015 (2014)
We solve the longstanding problem to define a functional characterization of the spectrum of the transfer matrix associated to the most general spin-1/2 representations of the 6-vertex reflection algebra for general inhomogeneous chains. The correspo
Externí odkaz:
http://arxiv.org/abs/1401.4901
Publikováno v:
J. Stat. Mech., P05011 (2014)
We provide a microscopic model setting that allows us to readily access to the large-distance asymptotic behaviour of multi-point correlation functions in massless, one-dimensional, quantum models. The method of analysis we propose is based on the fo
Externí odkaz:
http://arxiv.org/abs/1312.5089
We use the quantum separation of variable (SOV) method to construct the eigenstates of the open XXZ chain with the most general boundary terms. The eigenstates in the inhomogeneous case are constructed in terms of solutions of a system of quadratic e
Externí odkaz:
http://arxiv.org/abs/1307.3960
Publikováno v:
J. Stat. Mech., P09001 (2012)
We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time asymptotic
Externí odkaz:
http://arxiv.org/abs/1206.2630
Publikováno v:
J. Stat. Mech. (2011) P12010
We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we reduce the summation over all excited states to one over
Externí odkaz:
http://arxiv.org/abs/1110.0803
We study the thermodynamic limit of the particle-hole form factors of the XXZ Heisenberg chain in the massless regime. We show that, in this limit, such form factors decrease as an explicitly computed power-law in the system-size. Moreover, the corre
Externí odkaz:
http://arxiv.org/abs/1003.4557