English

Kadanoff-Baym equations for interacting systems with dissipative Lindbladian dynamics

Materials Science 2024-02-19 v1 Quantum Physics

Abstract

The extraordinary quantum properties of nonequilibrium systems governed by dissipative dynamics have become a focal point in contemporary scientific inquiry. The Nonequilibrium Green's Functions (NEGF) theory provides a versatile method for addressing driven {\em non-dissipative} systems, utilizing the powerful diagrammatic technique to incorporate correlation effects. We here present a second-quantization approach to the {\em dissipative} NEGF theory, reformulating Keldysh ideas to accommodate Lindbladian dynamics and extending the Kadanoff-Baym equations accordingly. Generalizing diagrammatic perturbation theory for many-body Lindblad operators, the formalism enables correlated and dissipative real-time simulations for the exploration of transient and steady-state changes in the electronic, transport, and optical properties of materials.

Keywords

Cite

@article{arxiv.2402.10824,
  title  = {Kadanoff-Baym equations for interacting systems with dissipative Lindbladian dynamics},
  author = {Gianluca Stefanucci},
  journal= {arXiv preprint arXiv:2402.10824},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-28T14:50:54.916Z