Maximum Quantum Entropy Method

Abstract

Maximum entropy method for analytic continuation is extended by introducing quantum relative entropy. This new method is formulated in terms of matrix-valued functions and therefore invariant under arbitrary unitary transformation of input matrix. As a result, the continuation of off-diagonal elements becomes straightforward. Without introducing any further ambiguity, the Bayesian probabilistic interpretation is maintained just as in the conventional maximum entropy method. The applications of our generalized formalism to a model spectrum and a real material demonstrate its usefulness and superiority.

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• Stochastic pole expansion method
• Numerical approaches for calculating the low-field dc Hall coefficient of the doped Hubbard model
• On the cuprates' universal waterfall feature: evidence of a momentum-driven crossover
• Geometry and symmetry in quantum Boltzmann machine
• DFT+DMFT with natural atomic orbital projectors
• Barycentric rational function approximation made simple: A fast analytic continuation method for Matsubara Green's functions
• Low-temperature transport in high-conductivity correlated metals: a density-functional plus dynamical mean-field study of cubic perovskites
• The rich phase diagram of the prototypical iridate Ba${}_2$IrO${}_4$: Effective low-energy models and metal-insulator transition
• Hall Coefficient and Resistivity in the Doped Bilayer Hubbard Model
• Many-body electronic structure, self-doped double-exchange, and Hund metallicity in 1T-CrTe2 bulk and monolayer