PIRSA:20070027

Physical footprints of intrinsic sign problems

Ringel, Z. (2020). Physical footprints of intrinsic sign problems . Perimeter Institute. https://pirsa.org/20070027

Ringel, Zohar. Physical footprints of intrinsic sign problems . Perimeter Institute, Jul. 21, 2020, https://pirsa.org/20070027 

          @misc{ pirsa_PIRSA:20070027,
            doi = {10.48660/20070027},
            url = {https://pirsa.org/20070027},
            author = {Ringel, Zohar},
            keywords = {Condensed Matter},
            language = {en},
            title = {Physical footprints of intrinsic sign problems },
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jul},
            note = {PIRSA:20070027 see, \url{https://pirsa.org}}
          }

Zohar Ringel Hebrew University of Jerusalem

DOI 10.48660/20070027
Collection
Talk Type Scientific Series
Subject

Abstract

The sign problem is a widespread numerical hurdle preventing us from simulating the equilibrium behaviour of many interesting models, most notably the Hubbard model. Research aimed at solving the sign problem, via various clever manipulations, has been thriving for a long time with various recent exciting results. The complementary question, of whether some phases of matter forbid the existence of any sign-free microscopic model, has received attention only recently. In this talk, I’ll review recent progress and discuss a novel and quite general criteria we obtained for when a topological quantum field theory has no sign-free microscopic model. I’ll also point out relations to sign problems in frustrated magnets and to the notion of quantum supremacy.