Exploratory refinement of universal n-body spectra predictions using probability distributions of correlation functions via lattice methods and analytic expansions.
Noise, sign problems, and statistics
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abstract
We show how sign problems in simulations of many-body systems can manifest themselves in the form of heavy-tailed correlator distributions, similar to what is seen in electron propagation through disordered media. We propose an alternative statistical approach for extracting ground state energies in such systems, illustrating the method with a toy model and with lattice data for unitary fermions.
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Determining universal spectra from probability distributions
Exploratory refinement of universal n-body spectra predictions using probability distributions of correlation functions via lattice methods and analytic expansions.