Green’s Function Perspective on the Nonlinear Density Response of Quantum Many-Body Systems
We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions. Moreover, we relate higher order response functions and higher order collision integrals within the Martin-Schwinger hierarchy. We expect our results to be highly relevant to the study of a variety of quantum many-body systems such as matter under extreme temperatures, densities, and pressures.
Authors
- Jan Vorberger (ORCID: https://orcid.org/0000-0001-5926-9192)
- Tobias Dornheim (ORCID: https://orcid.org/0000-0001-7293-6615)
- P. Tolias (ORCID: https://orcid.org/0000-0001-9632-8104)
- Maximilian Böhme (ORCID: https://orcid.org/0000-0003-0290-3628)
- Zhandos A. Moldabekov (ORCID: https://orcid.org/0000-0002-9725-9208)
Institutions
- Lawrence Livermore National Laboratory (US)
- Helmholtz-Zentrum Dresden-Rossendorf (DE)
- Center for Advanced Systems Understanding (DE)
- Lawrence Livermore National Security (US)
- KTH Royal Institute of Technology (SE)
Publication Details
- Journal
- Journal of Statistical Physics
- Published
- 2025-05-24
- DOI
- https://doi.org/10.1007/s10955-025-03454-5
- Citations
- 3
- Primary Topic
- Cold Atom Physics and Bose-Einstein Condensates
- Type
- article
- Field-Weighted Citation Impact
- 3.74
Funders
- U.S. Department of Energy
- European Commission
- Bundesministerium für Bildung und Forschung
- Laboratory Directed Research and Development
- Lawrence Livermore National Laboratory
- HORIZON EUROPE European Research Council