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arXiv · 2402.10824

Kadanoff-Baym equations for interacting systems with dissipative Lindbladian dynamics

Gianluca Stefanucci
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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.

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Gianluca Stefanucci. 2024-02-16. Kadanoff-Baym equations for interacting systems with dissipative Lindbladian dynamics. https://arxiv.org/abs/2402.10824

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