Statut  Confirmé 
Série  IPHTPHM 
Domaines  mathph 
Date  Lundi 11 Décembre 2017 
Heure  11:00 
Institut  IPHT 
Salle  Salle Claude Itzykson, Bât. 774 
Nom de l'orateur  JeanMarie Stéphan 
Prenom de l'orateur  
Addresse email de l'orateur  
Institution de l'orateur  
Titre  Inhomogeneous quantum quenches in the XXZ chain via sixvertex model with domain boundary conditions 
Résumé  I consider a simple outofequilibrium setup where a 1d quantum spin system on the infinite lattice is prepared in a domain wall product state, and then let evolve unitarily with the Hamiltonian of the XXZ spin chain. I explain how this ``quantum quench'' problem is related to the sixvertex model by analytic continuation, and how quantum inverse scattering methods on the six vertex side may be exploited to both derive exact results and gain some insights on such inhomogeneous quenches. I focus in this talk on the simplest quantity, the IzerginKorepin partition function of the classical model, which becomes a return probability (RP) after the quench, and may be expressed in the form of a Fredholm determinant. In the gapless regime, the decay of the RP at late times is found to be gaussian, with a rate that is, surprisingly, nowhere continuous as a function of anisotropy. Exactly at the Heisenberg point, the decay is exponential in $\sqrt{t}$, strongly suggesting diffusive transport. \par This particular quench also serves as an opportunity to discuss alternative approaches such as the generalized hydrodynamic treatment of integrable systems, or closely related problems such as arctic curves for dimer coverings, and conformal field theory description of 1d inhomogeneous systems. \\ \\ Reference: arXiv:1707.06625 
Numéro de preprint arXiv  
Commentaires  
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 