Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 19: Poster Session: Correlated Electrons 1
TT 19.70: Poster
Montag, 20. März 2017, 15:00–19:00, P2-EG
Nonequilibrium dynamics of correlated fermions in lattice systems: A benchmark analysis of the nonequilibrium Green functions approach — •Niclas Schlünzen1, Jan-Philip Joost1, Fabian Heidrich-Meisner2, and Michael Bonitz1 — 1CAU Kiel, Germany — 2LMU München, Germany
The nonequilibrium dynamics of correlated fermions in lattice systems are of high current interest in the communities of both condensed matter and ultacold atoms. While there is a very fruitful progress in present experiments (e.g. Ref. [1]), the theoretical description constitutes a challenging task, especially in the regime of strong coupling and higher dimensions. Recently, two-dimensional quantum simulations of the expansion of fermions based on nonequilibrium Green functions[2] (NEGF) have been presented[3] that showed excellent agreement with the experiments. We present a benchmark analysis of the NEGF approach compared to results of the numerically accurate density matrix renormalization group (DMRG) method[4], which predominantly has been limited to one dimenional systems. The results indicate that NEGF can compete for weak to intermediate coupling strengths while being easily extendable to higher dimensions, larger system sizes and longer propagation times.
[1] U. Schneider et al., Nat. Phys. 8, 213 (2012)
[2] K. Balzer and M. Bonitz, Lect. Notes Phys. 867 (2013)
[3] N. Schlünzen, S. Hermanns, M. Bonitz, and C. Verdozzi,
Phys. Rev. B 93, 035107 (2016)
[4] N. Schlünzen et al., submitted for publication (2016)