Phys. Rev. E 69, 021913 (2004) [5 pages]Eigen model as a quantum spin chain: Exact dynamicsReceived 8 September 2003; revised 1 December 2003; published 27 February 2004 We map the Eigen model of biological evolution [Naturwissenschaften 58, 465 (1971)] into a quantum spin model with non-Hermitian 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.021913
DOI:
10.1103/PhysRevE.69.021913
PACS:
87.10.+e, 87.15.Aa, 87.23.Kg, 02.50.-r
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