Analytic Continuation of Quantum Monte Carlo Data by Stochastic Analytical Inference

Details Analytic Continuation of Quantum Monte Carlo Data by Stochastic Analytical Inference Analytic Continuation of Quantum Monte Carlo Data by Stochastic Analytical Inference

2009-12-28

arxiv.org/abs/0912.5204v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

We present an algorithm for the analytic continuation of imaginary-time quantum Monte Carlo data which is strictly based on principles of Bayesian statistical inference. Within this framework we are able to obtain an explicit expression for the calculation of a weighted average over possible energy spectra, which can be evaluated by standard Monte Carlo simulations, yielding as by-product also the distribution function as function of the regularization parameter. Our algorithm thus avoids the usual ad-hoc assumptions introduced in similar algortihms to fix the regularization parameter. We apply the algorithm to imaginary-time quantum Monte Carlo data and compare the resulting energy spectra with those from a standard maximum entropy calculation.

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