Department of Mathematics

Mathematical Physics and Operator Algebras

  •  Marius Lemm, Harvard
  •  Spectral gaps without frustration
  •  11/15/2019
  •  10:30 AM - 11:30 AM
  •  C304 Wells Hall

In quantum spin systems, the existence of a spectral gap above the ground state has strong implications for the low-energy physics. We survey recent results establishing spectral gaps in various frustration-free spin systems by verifying finite-size criteria. The talk is based on collaborations with Abdul-Rahman, Lucia, Mozgunov, Nachtergaele, Sandvik, Yang, Young, and Wang.



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