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Quantum Group Random Walks in Strongly Correlated $2+1$ $D$ Spin Systems

A. P. Protogenov·Yu. V. Rostovtsev·V. A. Verbus
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Abstract

We consider the temporal evolution of strong correlated degrees of freedom in $2+1$~$D$ spin systems using the Wilson operator eigenvalues as variables. It is shown that the quantum-group diffusion equation at deformation parameter $q$ being the $k$-th root of unity has the polynomial solution of degree $k$.

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A. P. Protogenov, Yu. V. Rostovtsev, V. A. Verbus. 1994-07-07. Quantum Group Random Walks in Strongly Correlated $2+1$ $D$ Spin Systems. https://arxiv.org/abs/cond-mat/9407037

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