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UID:20250918T022203EDT-1994UmIuLD@132.216.98.100
DTSTAMP:20250918T062203Z
DESCRIPTION:Solving quantum integrable models with Bethe Ansatz - Applicati
 on to U(1)-invariant three-state Hamiltonians\n\nQuantum integrable system
 s have a long history. Originally\, solving such models was done through t
 he Coordinate Bethe Ansatz\, while the underlying mathematical structure w
 as not manifest. In the eighties\, the R-matrices\, solutions of the celeb
 rated Yang-Baxter equation\, has become a cornerstone of the resolution of
  such systems. R-matrices contain the Hamiltonian of the system and consti
 tute the basic ingredient of the Algebraic Bethe Ansatz that provides the 
 eigenvalues and eigenfunctions of the model. After presenting and comparin
 g the two ansatz\, we review some of the strategies that can be implemente
 d to infer an R-matrix from the knowledge of its Hamiltonian\, and apply t
 his framework to the case of three-state Hamiltonians with rank 1 symmetry
  and nearest-neighbour interactions in the context of spin chains.\n
DTSTART:20190122T203000Z
DTEND:20190122T213000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Luc Frappat\, Laboratoire d'Annecy-le-Vieux de Physique Théorique L
 APTh\, Univ. Grenoble Alpes\, Univ. Savoie
URL:/mathstat/channels/event/luc-frappat-laboratoire-d
 annecy-le-vieux-de-physique-theorique-lapth-univ-grenoble-alpes-univ-savoi
 e-293436
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