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• W2915667421 endingPage "103001" @default.
• W2915667421 startingPage "103001" @default.
• W2915667421 abstract "This article presents an overview on recent progress in the theory of nonequilibrium Green functions (NEGF). NEGF, presently, are the only textit{ab-initio} quantum approach that is able to study the dynamics of correlations for long times in two and three dimensions. However, until recently, NEGF simulations have mostly been performed with rather simple selfenergy approximations such as the second-order Born approximation (SOA). While they correctly capture the qualitative trends of the relaxation towards equilibrium, the reliability and accuracy of these NEGF simulations has remained open, for a long time. Here we report on recent tests of NEGF simulations for finite lattice systems against exact-diagonalization and density-matrix-renormalization-group benchmark data. The results confirm the high accuracy and predictive capability of NEGF simulations---provided selfenergies are used that go beyond the SOA and adequately include strong correlation and dynamical-screening effects. We present a selfcontained introduction to the theory of NEGF and give an overview on recent numerical applications to compute the ultrafast relaxation dynamics of correlated fermions. In the second part we give a detailed introduction to selfenergies beyond the SOA. Important examples are the third-order approximation, the GWAx, the TMA and the fluctuating-exchange approximation. We give a comprehensive summary of the explicit selfenergy expressions for a variety of systems of practical relevance, starting from the most general expressions and the Feynman diagrams, and including also the important cases of diagonal basis sets, the Hubbard model and the differences occuring for bosons and fermions. With these details, and information on the computational effort and scaling with the basis size and propagation duration, an easy use of these approximations in numerical applications is made possible." @default.
• W2915667421 created "2019-03-02" @default.
• W2915667421 creator A5024438575 @default.
• W2915667421 creator A5055806947 @default.
• W2915667421 creator A5061636786 @default.
• W2915667421 creator A5065096005 @default.
• W2915667421 date "2019-12-10" @default.
• W2915667421 modified "2023-10-14" @default.
• W2915667421 title "Ultrafast dynamics of strongly correlated fermions—nonequilibrium Green functions and selfenergy approximations" @default.
• W2915667421 cites W1523544085 @default.
• W2915667421 cites W1542444890 @default.
• W2915667421 cites W1545351424 @default.
• W2915667421 cites W1590924259 @default.
• W2915667421 cites W1601294834 @default.
• W2915667421 cites W1640248156 @default.
• W2915667421 cites W1680853461 @default.
• W2915667421 cites W1729446407 @default.
• W2915667421 cites W1765285239 @default.
• W2915667421 cites W1814213140 @default.
• W2915667421 cites W1867281886 @default.
• W2915667421 cites W1920400512 @default.
• W2915667421 cites W1928719307 @default.
• W2915667421 cites W1940245130 @default.
• W2915667421 cites W1946165433 @default.
• W2915667421 cites W1967998096 @default.
• W2915667421 cites W1968238268 @default.
• W2915667421 cites W1969291986 @default.
• W2915667421 cites W1972617045 @default.
• W2915667421 cites W1974061806 @default.
• W2915667421 cites W1974273335 @default.
• W2915667421 cites W1979781149 @default.
• W2915667421 cites W1981324698 @default.
• W2915667421 cites W1983042423 @default.
• W2915667421 cites W1984227745 @default.
• W2915667421 cites W1985301714 @default.
• W2915667421 cites W1986127172 @default.
• W2915667421 cites W1986168108 @default.
• W2915667421 cites W1987792759 @default.
• W2915667421 cites W1989606504 @default.
• W2915667421 cites W1990608983 @default.
• W2915667421 cites W1992898223 @default.
• W2915667421 cites W1993078746 @default.
• W2915667421 cites W1994020433 @default.
• W2915667421 cites W1995382498 @default.
• W2915667421 cites W1995841230 @default.
• W2915667421 cites W1996778989 @default.
• W2915667421 cites W2000401739 @default.
• W2915667421 cites W2001947750 @default.
• W2915667421 cites W2002588752 @default.
• W2915667421 cites W2004203093 @default.
• W2915667421 cites W2006332155 @default.
• W2915667421 cites W2011327487 @default.
• W2915667421 cites W2011493928 @default.
• W2915667421 cites W2014362928 @default.
• W2915667421 cites W2015642837 @default.
• W2915667421 cites W2018432602 @default.
• W2915667421 cites W2021712328 @default.
• W2915667421 cites W2023279941 @default.
• W2915667421 cites W2025918140 @default.
• W2915667421 cites W2026147151 @default.
• W2915667421 cites W2029123633 @default.
• W2915667421 cites W2030140432 @default.
• W2915667421 cites W2032001022 @default.
• W2915667421 cites W2035413341 @default.
• W2915667421 cites W2037768897 @default.
• W2915667421 cites W2037772375 @default.
• W2915667421 cites W2038249383 @default.
• W2915667421 cites W2038941806 @default.
• W2915667421 cites W2039152239 @default.
• W2915667421 cites W2045911145 @default.
• W2915667421 cites W2047856695 @default.
• W2915667421 cites W2047907063 @default.
• W2915667421 cites W2049447539 @default.
• W2915667421 cites W2053499780 @default.
• W2915667421 cites W2054144479 @default.
• W2915667421 cites W2054554043 @default.
• W2915667421 cites W2054804219 @default.
• W2915667421 cites W2058398316 @default.
• W2915667421 cites W2059215722 @default.
• W2915667421 cites W2059264371 @default.
• W2915667421 cites W2061855820 @default.
• W2915667421 cites W2064753443 @default.
• W2915667421 cites W2067217082 @default.
• W2915667421 cites W2067283559 @default.
• W2915667421 cites W2067591941 @default.
• W2915667421 cites W2069665899 @default.
• W2915667421 cites W2071122209 @default.
• W2915667421 cites W2071142504 @default.
• W2915667421 cites W2071430085 @default.
• W2915667421 cites W2072996664 @default.
• W2915667421 cites W2073660524 @default.
• W2915667421 cites W2074833233 @default.
• W2915667421 cites W2075153947 @default.
• W2915667421 cites W2075565353 @default.
• W2915667421 cites W2082726441 @default.
• W2915667421 cites W2083882596 @default.
• W2915667421 cites W2084029320 @default.
• W2915667421 cites W2084608069 @default.

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