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pfloos committed Nov 10, 2023
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"headline": "Presentations",
"description" : "ORAL PRESENTATIONS Arjan Berger (LCPQ, Toulouse) The one-point model: solving equations in pointland\nIn the one-point model we consider a zero-dimensional space. The advantage of this model is that the many-body equations simplify enormously and can be solved analytically. In particular, the one-body Greenʼs function is a solution of a set of functional integro-differential equations, which relate the one-particle Greenʼs function to its functional derivative with respect to an external potential [1].",
"inLanguage" : "en",
"wordCount": 4276 ,
"wordCount": 4410 ,
"datePublished" : "0001-01-01T00:00:00",
"dateModified" : "0001-01-01T00:00:00",
"image" : "https:\/\/lcpq.github.io\/MSQM\/img\/sphericalcow.png",
Expand Down Expand Up @@ -341,7 +341,13 @@ <h3 id="pieter-van-isacker-ganil-caen">Pieter Van Isacker (GANIL, Caen)</h3>
<h3 id="alexander-tichai-tu-darmstadt">Alexander Tichai (TU, Darmstadt)</h3>
<p><strong>TBA</strong></p>
<h3 id="denis-lacroix-in2p3-orsay">Denis Lacroix (IN2P3, Orsay)</h3>
<p><strong>TBA</strong></p>
<p><strong>Exploring the richness of the Lipkin Model and its extensions: from nuclear to neutrino physics and quantum computing</strong></p>
<p>I will discuss the basic ingredient of the Lipkin model consisting of a set of permutation invariant 2-level systems occupied by fermions.
Due to its symmetry property, this model can be easily solved even for many particles. Still, it contains interesting physical
properties, like a quantum phase transition. Naturally, this model serves as a benchmark for testing
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>
<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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