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Autumn School on Correlated Electrons:
Simulating Correlations with Computers

20-24 September 2021, Forschungszentrum Jülich — Online-Edition

Announcement: Poster and Flyer

Scope

The combinatorial growth of the Hilbert space makes the many-electron problem a grand challenge. Progress relies on the development of non-perturbative methods, based on either wavefunctions or self energies. This made, in recent years, calculations for strongly correlated materials a reality. These simulations draw their power from three sources: theoretical advances, algorithmic developments and the raw power of massively parallel supercomputers. Turning to quantum hardware could give quantum materials science the ultimate boost. Before quantum parallelism can be exploited, however, many questions, algorithmic and engineering, need to be addressed.

The school will provide students with an overview of the state-of-the-art of many-body simulations and the promises of quantum computers. After introducing the basic modeling techniques and the concept of entanglement in correlated states, lectures will turn to methods that do not rely on wavefunctions, comparing density functional theory, the GW method and dynamical mean-field theory. Advanced lectures will broaden the discussion, addressing topics from the Luttinger-Ward functional to non-equilibrium Green functions. As a glimpse of future possibilities, the basics of quantum computing and its possible uses in materials simulations will be outlined.

The goal of the school is to introduce advanced graduate students and up to the full range of modern approaches for the realistic simulation of strongly correlated materials with computers.

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Lecturers

Timetable

Click on the lecture for the slides.

  Mon 20 Sept Tue 21 Sept Wed 22 Sept Thu 23 Sept Fri 24 Sept
14:00Welcome
14:30 2nd Quantization
Jordan-Wigner
E. Koch
Orbital Entanglement
Ch. Schilling
LDA+DMFT
Hubbard dimer
E. Pavarini
Analog QSimulations
W. Hofstetter
QChem on QComputers
L. Veis
16:00Break
16:30 Quantum Chemistry
K. Doll
Hubbard Dimer: GW
P. Romaniello
GF in Renormal
ManyBody PertTh
V. Janiš
Non-Equilibrium GF
G. Stefanucci
QComp Quo Vadis?
D. DiVincenzo
18:00Break
18:30 Hubbard Dimer: DFT
K. Burke
Green Functions and
Σ-Functionals
R. Eder
QComputer Programming
K. Michielsen
Frustrated Magnets
M. Daghofer
20:00End

General Information

Venue: The school will take place online from 20 to 24 September 2021.
Details will be posted to registered participants.

Participation: The school is intended for advanced graduate or PhD students and postdocs in the field of electronic structure of materials.

Admission: Interested students should apply before July 31, 2021 through the registration form. Accepted applicants will be informed via e-mail two weeks after the deadline for applications.

Lecture Notes

book cover The lecture notes have been published as an OpenAccess book:

Eva Pavarini and Erik Koch (eds.)
Simulating Correlations on Computers
Modeling and Simulation, Vol. 11
Verlag des Forschungszentrum Jülich, 2021
ISBN 978-3-95806-529-1

Organizers

Autumn School on Correlated Electrons

Overview of the Schools in the Series

The School is supported by

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