Identifying the maximum entropy method as a special limit of stochastic analytic continuation
By K. Beach. 2004
145 citations recorded by the source corpus.
The maximum entropy method is shown to be a special limit of the stochastic analytic continuation method introduced by Sandvik [Phys. Rev. B 57, 10287 (1998)]. We employ a mapping between the analytic continuation problem and a system of interacting classical fields. The Hamiltonian of this system is chosen such that the determination of its ground state field configuration corresponds to an unregularized inversion of the analytic continuation input data. The regularization is effected by performing a thermal average over the field configurations at a small fictitious temperature using Monte Carlo sampling. We prove that the maximum entropy method, the currently accepted state of the art, is simply the mean field limit of this fully dynamical procedure. We also describe a technical innovation: we suggest that a parallel tempering algorithm leads to better traversal of the phase space and makes it easy to identify the critical value of the regularization temperature.
Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/43ff0c752129382a60f94783ff9fac18e5266fda
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In Condensed Matter Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- High-Resolution Photoemission on Sr2RuO4 Reveals Correlation-Enhanced Effective Spin-Orbit Coupling and Dominantly Local Self-Energies (2018, methodology): “[97] K. S. D. Beach, ArXiv e-prints (2004), arXiv:cond- mat/0403055 [cond-mat.str-el].”