Results 41 to 50 of about 1,573,184 (216)
Journal of High Energy Physics, 2020 We formulate Q-systems for the closed XXZ, open XXX and open quantum- group-invariant XXZ quantum spin chains. Polynomial solutions of these Q-systems can be found efficiently, which in turn lead directly to the admissible solutions of the corresponding ...
Zoltán Bajnok +3 more
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Equilibrium dynamical correlations in the Toda chain and other integrable models. [PDF]
Physical Review E, 2016 We investigate the form of equilibrium spatiotemporal correlation functions of conserved quantities in the Toda lattice and in other integrable models. From numerical simulations we find that the correlations satisfy ballistic scaling with a remarkable ...
A. Kundu, A. Dhar
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On a method for constructing the Lax pairs for integrable models via a quadratic ansatz [PDF]
, 2017 A method for constructing the Lax pairs for nonlinear integrable models is suggested. First we look for a nonlinear invariant manifold of the linearization of the given equation.
I. Habibullin, A. Khakimova
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Nonsymmetric Macdonald polynomials via integrable vertex models [PDF]
Transactions of the American Mathematical Society, 2019 Starting from an integrable rank-$n$ vertex model, we construct an explicit family of partition functions indexed by compositions $\mu = (\mu_1,\dots,\mu_n)$.
A. Borodin, M. Wheeler
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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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''New'' boundary conditions in integrable lattice models [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 4 pages, JHEP proceedings style, talk presented at the TMR conference ``Non-perturbative Quantum Effects 2000''
openaire +2 more sources
New integrable 1D models of superconductivity [PDF]
Journal of Physics A: Mathematical and Theoretical, 2019 In this paper we find new integrable one-dimensional lattice models of electrons. We describe all such nearest-neighbour integrable models with su(2)×su(2) symmetry by classifying solutions of the Yang–Baxter equation following the procedure first ...
M. de Leeuw +3 more
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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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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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