Achieving the Scaling Limit for Nonequilibrium Green Functions Simulations

Physical Review Letters
Niclas SchlünzenMichael Bonitz

Abstract

The dynamics of strongly correlated fermions following an external excitation reveals extremely rich collective quantum effects. Examples are fermionic atoms in optical lattices, electrons in correlated materials, and dense quantum plasmas. Presently, the only quantum-dynamics approach that rigorously describes these processes in two and three dimensions is the nonequilibrium Green functions (NEGF) method. However, NEGF simulations are computationally expensive due to their T^{3} scaling with the simulation duration T. Recently, T^{2} scaling was achieved with the generalized Kadanoff-Baym ansatz (GKBA), for second-order Born (SOA) selfenergies, which has substantially extended the scope of NEGF simulations. Here we demonstrate that GKBA-NEGF simulations can be performed with order T^{1} scaling, both for SOA and GW selfenergies, and point out the remarkable capabilities of this approach.

References

Nov 15, 1986·Physical Review. B, Condensed Matter·P LipavskB Velick
Feb 12, 1996·Physical Review Letters·H Nakatsuji, K Yasuda
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H HaberlandD Kremp
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D KrempM Schlanges
May 16, 2007·Physical Review Letters·Nils Erik Dahlen, Robert van Leeuwen
Feb 21, 2000·Physical Review Letters·N H Kwong, M Bonitz
Oct 8, 2013·Nano Letters·Søren A JensenMischa Bonn
Jan 13, 2019·Physical Review Letters·Karsten BalzerMichael Bonitz
Nov 11, 2019·The Journal of Chemical Physics·Riku TuovinenMichael A Sentef

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Citations

Oct 3, 2020·The Journal of Chemical Physics·A YilmazM Bonitz
Oct 8, 2020·Scientific Reports·Abdel-Haleem Abdel-AtyHichem Eleuch
Jul 31, 2021·Physical Review Letters·Daniel KarlssonGianluca Stefanucci

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