Analytic continuation of QMC data with a sign problem

2004/10/04 by A. Macridin, Alexandru Macridin, Macridin, A. +9 · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Quantum Information and Cryptography #Spectroscopy and Laser Applications #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.cond-mat/0410098

arxiv created 2004/10/04 · openalex publication_date 2004/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a Maximum Entropy method (MEM) for obtaining dynamical spectra from Quantum Monte Carlo data which have a sign problem. By relating the sign fluctuations to the norm of the spectra, our method properly treats the correlations between the measured quantities and the sign. The method greatly improves the quality and the resolution of the spectra, enabling it to produce good spectra even for poorly conditioned data where standard MEM fails.

Cited by

• Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering

Related

• Sign problem and MEM
• Analytic Continuation of Quantum Monte Carlo Data: Optimal Stochastic Regularization Approach
• Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data
• The noiseless limit and improved-prior limit of the maximum entropy method and their implications for the analytic continuation problem
• Mitigating the sign problem by quantum computing