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UID:0-1150@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20261124T110000
DTEND;TZID=Europe/Paris:20261124T120000
DTSTAMP:20261030T154622Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/lptms-seminar-jea
 n-noel-fuchs-lptmc-paris/
SUMMARY:LPTMS Seminar: Jean-Noël Fuchs - Salle des séminaires du FAST et 
 du LPTMS\, bâtiment Pascal n°530 - 24 Nov 26 11:00
DESCRIPTION:Partition function of the Kitaev quantum double model\nJean-No
 ël Fuchs (LPTMC\, Paris)\n&nbsp\;\n\nIn this talk\, I will discuss our re
 cent work on the Kitaev quantum double model [1]. This is an exactly-solva
 ble lattice gauge theory built on a discrete group G and on a 2D graph. It
 s excitations are deconfined anyons. Its simplest instance is the famous t
 oric code model built from the Z_2 group. Even more interesting physics oc
 curs when G is non-Abelian. The energy spectrum of the model is trivial (t
 he energy levels are equidistant) but their degeneracy is not when G is no
 n-Abelian. This comes from the fact that non-Abelian anyons can have sever
 al fusion channels. In this work\, I will show how we computed the corresp
 onding fusion degeneracies using the machinery of tensor categories. This 
 allowed us to obtain the partition function and many finite-temperature pr
 operties. In particular\, we find that this type of topological order (à 
 la Wen) is destroyed at any finite temperature in the thermodynamic limit.
  However\, in a finite-size system\, there is a finite temperature below w
 hich topological order is preserved.\n\n[1] A. Ritz-Zwilling\, B. Douçot\
 , S. H. Simon\, J. Vidal\, and J.-N. Fuchs\, arXiv:2509.10876\, Phys. Rev.
  B 113\, 165106 (2026).
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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TZID:Europe/Paris
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DTSTART:20261025T020000
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