Diverging exchange force and form of the exact density matrix functional

Dec 23, 2023

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This article introduces the concept of RDMFT and explores its geometric interpretation in translationally-invariant systems. It covers applications in solid state physics and ultracold fermionic atoms, with a specific illustration of the Hubbard square. The article concludes with an outlook and open problems in the field.

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Diverging exchange force and form of the exact density matrix functional

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Diverging exchange force and form of the • exact density matrix functional
Outline (I) Introduction into RDMFT (II) Geometric picture underlying RDMFT Translationally-invariant systems (solid state physics, ultracold fermionic atoms)
(I) Introduction into RDMFT

(II) Geometric picture underlying RDMFT

Translationally-invariant systems

Application/Illustration: Hubbard square

Summary and Conclusion
Outlook and open Problems
Thankyou!

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