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Eigen model as a quantum spin chain: exact dynamics

David Saakian·Chin-Kun Hu
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Abstract

We map Eigen model of biological evolution [Naturwissenschaften {\bf 58}, 465 (1971)] into a one-dimensional quantum spin model with non-Hermitean Hamiltonian. Based on such a connection, we derive exact relaxation periods for the Eigen model to approach static energy landscape from various initial conditions. We also study a simple case of dynamic fitness function.

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David Saakian, Chin-Kun Hu. 2004-02-07. Eigen model as a quantum spin chain: exact dynamics. https://doi.org/10.1103/physreve.69.021913

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