In the study of nonequilibrium many-body quantum systems, the nonequilibrium Green's function (NEGF) method remains one of the most powerful and versatile formalisms. By utilizing diagrammatic techniques to systematically incorporate correlation effects, it is capable of describing a wide variety of regimes.
Nonetheless, the formalism reaches its limits when a dissipative environment is introduced into the correlated driven quantum dynamics, as one must also explicitly account for the bath degrees of freedom within the total Hamiltonian.
This project, based on the recent work by G. Stefanucci (Phys. Rev. B, 2023), aims to formulate the dissipative NEGF theory within a second quantization approach, thereby extending diagrammatic perturbation theory and the Kadanoff-Baym equations (KBEs) to the dissipative regime. Specifically, this is achieved by incorporating Lindblad dissipation into the framework, which integrates out the environmental degrees of freedom, encapsulating their action into jump operators that drive the system's evolution.
Finally, this study provides the theoretical insights required to interpret the microscopic dynamics of charge carriers within dissipative environments. These insights pave the way for a deeper understanding of phenomena intrinsically linked to dissipative environments — such as the dynamics of exciton-polariton condensates in open systems and the emergence of topological properties — all the way to the dynamics of experimental platforms and real-world devices, such as optical cavities and ultrafast electronic devices.