BEGIN:VCALENDAR VERSION:2.0 PRODID:Data::ICal 0.22 BEGIN:VEVENT DESCRIPTION:Roger Mong\, Caltech\n\n
\n The quantum Hall effect is an exo tic phenomena found in nature. At fractional filling\, these phases suppor t fractional charge excitations with anyonic braiding statistics\, which m ay be suitable for topological quantum computation. I will discuss the rec ent progress on studying these phases using matrix product states (MPSs) a nd the density-matrix-renormalization group (DMRG) technique. On one hand the MPS structure for quantum Hall reveals deep connection between quantum entanglement\, conformal field theory\, and topological field theory. Pra gmatically\, an understanding of the MPS structure allows us to perform ef ficient DMRG simulations for physical quantum Hall systems. There\, the ke y advance is to reliably get the ground state wavefunction from a microsco pic Hamiltonian\, and to be able to identify the braiding statistics of th e excitations solely from the ground state. Finally\, I will also discuss various applications of these numerical methods.
\n DTSTART:20140224T203000Z LOCATION:Physics Building\, Room 204 SUMMARY:Matrix Product States for the Fractional Quantum Hall Effect END:VEVENT END:VCALENDAR