Results 31 to 40 of about 7,333,366 (298)
T − W relation and free energy of the Heisenberg chain at a finite temperature
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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Scalar products of Bethe vectors in the 8-vertex model
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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Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually given by inhomogeneous T − Q relations and ...
Xiong Le +5 more
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Lattice Integrals of Motion of the Ising Model on the Strip [PDF]
arXiv admin note: substantial text overlap with arXiv:1010 ...
openaire +3 more sources
Determinant form of correlators in high rank integrable spin chains via separation of variables
In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl N $$ \mathfrak{gl}(N) $$ symmetry.
Nikolay Gromov +2 more
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Quantum projectors and local operators in lattice integrable models [PDF]
LaTeX file, 15 pages, no ...
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On the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries
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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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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String-charge duality in integrable lattice models [PDF]
18 pages + appendices, revised version as accepted by ...
Ilievski, E. +3 more
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Bethe Ansatz equations for the classical A^(1)_n affine Toda field theories [PDF]
We establish a correspondence between classical A(1)n affine Toda field theories and An Bethe Ansatz systems. We show that the connection coefficients relating specific solutions of the associated classical linear problem satisfy functional relations of ...
Dunning, Clare +2 more
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