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pfloos committed Jan 12, 2024
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Expand Up @@ -358,7 +358,7 @@ <h3 id="denis-lacroix-in2p3-orsay">Denis Lacroix (IN2P3, Orsay)</h3>
many-body approaches to treat static and dynamical properties of complex many-body systems. Illustrations of the application
of this model or its extensions will be shown during the talk in various fields. Due to its intrinsic 2-level system nature, it also appears useful
to test quantum algorithms using qubits. A few examples of recent progress in quantum computers will be presented.</p>
<img src="https://lcpq.github.io/MSQM/img/DLacrois.jpg" width="600">
<img src="https://lcpq.github.io/MSQM/img/DLacroix.jpg" width="600">
<h3 id="alfred-kirsch-cermics-paris">Alfred Kirsch (CERMICS, Paris)</h3>
<p><strong>Some mathematical insights on DMFT on a Hubbard model</strong></p>
<p>In this talk, I will discuss recent work on the mathematical properties of the Dynamical Mean-Field Theory applied to the Hubbard model [2, 4, 1]. In spite of its general use in condensed matter physics, the mathematical framework of DMFT has not been explored thoroughly: to our knowledge, this issue has only been addressed in [3], where it is shown that the self-consistent map is well defined for a particular set of functions representing a finite bath. In this talk, after a brief reminder on the Hubbard model and the DMFT formalism, I will present joint work with S. Perrin-Roussel and E. Cances in which we start by extending this result to a larger class of functions that can model infinite bath. I will also detail results on a specific impurity solver, the Iterated Perturbation Theory (IPT). If time allows, I will then discuss numerical developments arising from these results (using TRIQS [5]) and the well-posedness of the DMFT equations in this frame.</p>
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