BEGIN:VCALENDAR VERSION:2.0 PRODID:Data::ICal 0.22 BEGIN:VEVENT DESCRIPTION:Rafael Alexander \, UNM\n\n
The study of low-dimensional quantum systems has proven to be a particularly fertile field for discovering nove l types of quantum matter. \;The tensor network'\;s utility in  \;studying short range correlated states in 1D have been thoroughly invest igated. Yet\, despite \;the large number of works investigating these networks and their relations to physical models\, examples of exact corres pondence between the ground state of a \;quantum critical system and a n appropriate scale-invariant tensor network have eluded us so far. Here w e show that the features of the quantum-critical \;Motzkin model can b e faithfully captured by an analytic tensor network that exactly represent s the ground state of the physical Hamiltonian. In particular\, our \; network offers a two-dimensional representation of this state by a corresp ondence between walks and a type of tiling of a square lattice. We discuss  \;connections to renormalization and holography.
\n DTSTART:20190313T150000Z LOCATION:Physics Building\, Room 313 SUMMARY:Walks\, tiles\, and zippers: exact holographic tensor networks for Motzkin spin chains END:VEVENT END:VCALENDAR