Results 51 to 60 of about 1,573,184 (216)
Exact solution of the quantum integrable model associated with the Motzkin spin chain
Journal of High Energy Physics, 2023 The Motzkin spin chain is a spin-1 frustration-free model introduced by Shor & Movassagh. The ground state is constructed by mapping random walks on the upper half of the square lattice to spin configurations. It has unusually large entanglement entropy [
Kun Hao +2 more
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Model-Free Finance and Non-Lattice Integration
, 2021 34 ...
Bender, Christian +2 more
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T − W relation and free energy of the Heisenberg chain at a finite temperature
Journal of High Energy Physics, 2021 A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t − W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the
Pengcheng Lu +5 more
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Algebraic construction of quantum integrable models including inhomogeneous models [PDF]
, 1999 Exploiting the quantum integrability condition we construct an ancestor model associated with a new underlying quadratic algebra. This ancestor model represents an exactly integrable quantum lattice inhomogeneous anisotropic model and at its various ...
Anjan Kundu +30 more
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Journal of High Energy Physics, 2022 Integrable sl $$ \mathfrak{sl} $$ (N) spin chains, which we consider in this paper, are not only the prototypical example of quantum integrable systems but also systems with a wide range of applications.
Nikolay Gromov, Nicolò Primi, Paul Ryan
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Scalar products of Bethe vectors in the 8-vertex model
Journal of High Energy Physics, 2020 We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz ...
N. Slavnov, A. Zabrodin, A. Zotov
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Journal of High Energy Physics, 2022 We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted D 3 2 $$ {D}_3^{(2)} $$ algebra (or the D 3 2 $$ {D}_3^{(2)} $$ model) with either periodic or integrable open boundary conditions. We obtain
Guang-Liang Li +7 more
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On the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries
Journal of High Energy Physics, 2017 By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t − J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T − Q relation, and the ...
Pei Sun +7 more
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Factorization identities and algebraic Bethe ansatz for D 2 2 $$ {D}_2^{(2)} $$ models
Journal of High Energy Physics, 2021 We express D 2 2 $$ {D}_2^{(2)} $$ transfer matrices as products of A 1 1 $$ {A}_1^{(1)} $$ transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ...
Rafael I. Nepomechie, Ana L. Retore
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Universality of the one dimensional Bose gas with delta interaction
, 2004 We consider several models of interacting bosons in a one dimensional lattice. Some of them are not integrable like the Bose-Hubbard others are integrable. At low density all of these models can be described by the Bose gas with delta interaction.
Ablowitz +35 more
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