Nonequilibrium sum rules for the Holstein model

2014/03/22 by J. K. Freericks, Freericks, J. K., Khadijeh Najafi +5
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Spectroscopy and Quantum Chemical Studies #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con)

paper · pdf · doi:10.48550/arxiv.1403.5604

openalex publication_date 2014/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive frequency moment sum rules for the retarded electronic Green's function and self-energy of the Holstein model for both equilibrium and nonequilibrium cases. We also derive sum rules for the phonon propagator in equilibrium and nonequilibrium. These sum rules allow one to benchmark nonequilibrium calculations and help with interpreting the behavior of electrons driven out of equilibrium by an applied electric field. We exactly evaluate the sum rules when the system is in the atomic limit. We also discuss the application of these sum rules to pump/probe experiments like time-resolved angle-resolved photoemission spectroscopy.

Citations

• On the exponential solution of differential equations for a linear operator

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