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Kadanoff-Baym Equations for Interacting Systems with Dissipative Lindbladian Dynamics
1Dipartimento di Fisica, <a href="https://ror.org/02p77k626">Università di Roma Tor Vergata</a>, Via della Ricerca Scientifica 1, 00133 Rome, Italy and <a href="https://ror.org/025rrx658">INFN</a>, Sezione di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy.
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 nondissipative systems, utilizing the powerful diagrammatic technique to incorporate correlation effects. We here present a second-quantization approach to the 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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