Noise, sign problems, and statistics

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.

4 pages, 4 figures

References in corpus (3)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• Lattice Monte Carlo calculations for unitary fermions in a harmonic trap

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