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@INPROCEEDINGS{Bauer:874367,
author = {Bauer, Carsten and Trebst, Simon},
title = {{M}achine {L}earning {T}ransport {P}roperties in {Q}uantum
{M}any-{F}ermion {S}imulations},
volume = {50},
address = {Jülich},
publisher = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
reportid = {FZJ-2020-01390},
series = {Publication Series of the John von Neumann Institute for
Computing (NIC) NIC Series},
pages = {85 - 92},
year = {2020},
comment = {NIC Symposium 2020},
booktitle = {NIC Symposium 2020},
abstract = {In computational condensed matter physics, the influx of
algorithms from machine learning and their combination with
traditional numerical many-body approaches is one of the
most enticing recent developments. At this confluence novel
techniques have been developed that allow to characterise
many-body wave functions and discriminate quantum phase of
matter by adapting concepts from computer science and
statistics, which have proved tremendously practical in
completely different contexts. However, in order to actually
turn into a productive and widely accepted tool for
obtaining a deeper understanding of microscopic physics
these novel approaches must allow for meaningful,
comprehensible inference and go beyond the applicability of
their traditional counterparts. In this contribution, we
report on significant progress made in this direction by
discussing a novel algorithmic scheme using machine learning
techniques to numerically infer the transport properties of
quantum many-fermion systems. This approach is based on a
quantum loop topography (QLT), and capable of distinguishing
conventional metallic and superconducting transport in
quantum Monte Carlo simulations by learning current-current
correlations from equal-time Green’s functions. We
showcase this approach by studying the emergence of s- and
d-wave superconducting fluctuations in the negative-U
Hubbard model and a spin-fermion model for a metallic
quantum critical point. The presented results, combined with
the numerical efficiency of the QLT approach, point a way to
identify hitherto elusive transport phenomena such as
non-Fermi liquids using machine learning algorithms.},
month = {Feb},
date = {2020-02-27},
organization = {NIC Symposium 2020, Jülich (Germany),
27 Feb 2020 - 28 Feb 2020},
cin = {NIC},
cid = {I:(DE-Juel1)NIC-20090406},
pnm = {899 - ohne Topic (POF3-899)},
pid = {G:(DE-HGF)POF3-899},
typ = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
url = {https://juser.fz-juelich.de/record/874367},
}