Random matrix ensembles: Wang-Landau algorithm for spectral densities
Fakultät für Physik, Universität Duisburg-Essen - Lotharstraße 1, 47048 Duisburg, Germany, EU
Received: 1 November 2012
Accepted: 2 January 2013
We propose a method based on the Wang-Landau algorithm to numerically generate the spectral densities of random matrix ensembles. The method employs Dyson's log-gas formalism for random matrix eigenvalues and also enables one to simultaneously investigate the thermodynamic properties. This approach is a powerful alternative to the conventionally used Monte Carlo simulations based on the Boltzmann sampling, and is ideally suited for investigating β-ensembles.
PACS: 02.70.Uu – Applications of Monte Carlo methods / 05.45.Mt – Quantum chaos; semiclassical methods / 02.10.Yn – Matrix theory
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