Nonequilibrium spectral moment sum rules of the Holstein–Hubbard model

Najafi, Khadijeh; Jacoby, J. Alexander; Nesselrodt, R. D.; Freericks, J. K.

doi:10.1088/1751-8121/acafb1

Nonequilibrium spectral moment sum rules of the Holstein–Hubbard model

Journal Article · 06 January 2023 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/acafb1· OSTI ID:2420969

Najafi, Khadijeh ^[1]; ; ;

OSTI

Abstract

We derive a general procedure for evaluating thenth derivative of a time-dependent operator in the Heisenberg representation and employ this approach to calculate the zeroth to third spectral moment sum rules of the retarded electronic Green’s function and self-energy for a system described by the Holstein–Hubbard model allowing for arbitrary spatial and time variation of all parameters (including spatially homogeneous electric fields and parameter quenches). For a translationally invariant (but time-dependent) Hamiltonian, we also provide sum rules in momentum space. The sum rules can be applied to various different phenomena like time-resolved angle-resolved photoemission spectroscopy and benchmarking the accuracy of numerical many-body calculations. This work also corrects some errors found in earlier work on simpler models.

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0019126

OSTI ID:: 2420969

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 1 Vol. 56; ISSN 1751-8113

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

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