Department of Mathematics


  •  Supercritical Entanglement: counter-example to the area law for quantum matter
  •  02/23/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Ramis Movassagh, MIT

In recent years, there has been a surge of activities in proposing exactly solvable quantum spin chains with the surprisingly high amount of entanglement entropies (super-logarithmic violations of the area law). We will introduce entanglement and discuss these models. These models have rich connections with combinatorics, random walks, and universality of Brownian excursions. Lastly, we develop techniques for proving the gap and conclude that these models do not have a relativistic conformal field theory description.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science