1997/08/08 by M. P. Nightingale, Henk W. J. Blöte, H. W. J. Bloete
Physics and Astronomy · #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevlett.80.1007
arxiv created 1997/08/08 · openalex publication_date 1998/02/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain the relaxation times of several, progressively rapid, independent modes of three models in a two-dimensional Ising universality class. Their size dependence can be described by one single dynamic exponent and universal amplitude ratios. This analysis is based on variational approximations of the eigenstates of the Markov matrix describing heat-bath, single-spin-flip dynamics. Monte Carlo computation of the corresponding autocorrelations and cross correlations, in which the variational error is systematically reduced, yields eigenvalues and the associated relaxation times with considerably higher statistical accuracy than is the case for traditional correlations.