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RESEARCH PRODUCT

Time propagation of the Kadanoff–Baym equations for inhomogeneous systems

Nils Erik DahlenRobert Van LeeuwenAdrian Stan

subject

DYNAMICSGW approximationPhysicsConservation lawNONEQUILIBRIUM PROCESSESCondensed Matter - Mesoscale and Nanoscale PhysicsStrongly Correlated Electrons (cond-mat.str-el)Time evolutionFOS: Physical sciencesGeneral Physics and AstronomyNon-equilibrium thermodynamicsELECTRON-GASSEMICONDUCTORSGREENS-FUNCTIONTRANSPORTATOMSCondensed Matter - Other Condensed MatterMOLECULESCondensed Matter - Strongly Correlated ElectronsClassical mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)SCATTERINGPhysical and Theoretical ChemistryOther Condensed Matter (cond-mat.other)

description

We have developed a time propagation scheme for the Kadanoff-Baym equations for general inhomogeneous systems. These equations describe the time evolution of the nonequilibrium Green function for interacting many-body systems in the presence of time-dependent external fields. The external fields are treated nonperturbatively whereas the many-body interactions are incorporated perturbatively using Phi-derivable self-energy approximations that guarantee the satisfaction of the macroscopic conservation laws of the system. These approximations are discussed in detail for the time-dependent Hartree-Fock, the second Born and the GW approximation.

https://doi.org/10.1063/1.3127247