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Nonequilibrium spectral moment sum rules of the Holstein-Hubbard model
- Source :
- J. Phys. A: Math. Theor. 56 015301 (2023)
- Publication Year :
- 2021
-
Abstract
- We derive a general procedure for evaluating the ${\rm n}$th 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.<br />Comment: 12 pages, 2 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 56 015301 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2108.03521
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8121/acafb1