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PreprintCC BY 4.0arXiv

Open-quantum-system theory of non-Markovian electron-phonon dynamics

Abstract

We present a non-Markovian open-quantum-system formalism for nonequilibrium electron-phonon dynamics: a closed set of five coupled equations of motion, derived directly from the density matrix, in which memory, dissipative broadening, and coherent-phonon dynamics arise on an equal footing without two-time correlators. It recovers the Fan-Migdal, RPA-polarization, and Ehrenfest self-energies and the Lindblad and Boltzmann limits. In the strongly driven Holstein dimer it separates the coherent polaronic peak, of Ehrenfest origin, from the linewidths and multiphonon structure of Fan-Migdal origin.

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BibTeX
@misc{riva2026openquantumsystem,
  title = {{Open-quantum-system theory of non-Markovian electron-phonon dynamics}},
  author = {Gabriele Riva and Jacopo Simoni and Yuan Ping},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.22233},
  eprint = {2606.22233},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.22233},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Open-quantum-system theory of non-Markovian electron-phonon dynamics
AU  - Gabriele Riva
AU  - Jacopo Simoni
AU  - Yuan Ping
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2606.22233
UR  - https://arxiv.org/abs/2606.22233
AB  - We present a non-Markovian open-quantum-system formalism for nonequilibrium electron-phonon dynamics: a closed set of five coupled equations of motion, derived directly from the density matrix, in which memory, dissipative broadening, and coherent-phonon dynamics arise on an equal footing without two-time correlators. It recovers the Fan-Migdal, RPA-polarization, and Ehrenfest self-energies and the Lindblad and Boltzmann limits. In the strongly driven Holstein dimer it separates the coherent polaronic peak, of Ehrenfest origin, from the linewidths and multiphonon structure of Fan-Migdal origin.
ER  -