Results 11 to 20 of about 34,413 (249)
On a systematic approach to defects in classical integrable field theories [PDF]
, 2008 We present an inverse scattering approach to defects in classical integrable field theories. Integrability is proved systematically by constructing the generating function of the infinite set of modified integrals of motion.
Bibikov P. N. +7 more
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New compact construction of eigenstates for supersymmetric spin chains
Journal of High Energy Physics, 2018 The problem of separation of variables (SoV) in supersymmetric spin chains is closely related to the calculation of correlation functions in N=4 $$ \mathcal{N}=4 $$ SYM theory which is integrable in the planar limit.
Nikolay Gromov, Fedor Levkovich-Maslyuk
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A novel class of translationally invariant spin chains with long-range interactions
Journal of High Energy Physics, 2020 We introduce a new class of open, translationally invariant spin chains with long-range interactions depending on both spin permutation and (polarized) spin reversal operators, which includes the Haldane-Shastry chain as a particular degenerate case. The
B. Basu-Mallick +2 more
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Signatures of integrability in charge and thermal transport in 1D quantum systems [PDF]
, 2007 Integrable and non-integrable systems have very different transport properties. In this work, we highlight these differences for specific one dimensional models of interacting lattice fermions using numerical exact diagonalization.
B. Sriram Shastry +4 more
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On zero-remainder conditions in the Bethe ansatz
Journal of High Energy Physics, 2020 We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised ...
Etienne Granet, Jesper Lykke Jacobsen
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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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Yang-Baxter algebra and generation of quantum integrable models [PDF]
, 2006 An operator deformed quantum algebra is discovered exploiting the quantum Yang-Baxter equation with trigonometric R-matrix. This novel Hopf algebra along with its $q \to 1$ limit appear to be the most general Yang-Baxter algebra underlying quantum ...
A. G. Izergin +22 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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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 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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