Spectral gaps without frustration


Lemm, M. (2019). Spectral gaps without frustration. Perimeter Institute. https://pirsa.org/19110111


Lemm, Marius. Spectral gaps without frustration. Perimeter Institute, Nov. 13, 2019, https://pirsa.org/19110111


          @misc{ pirsa_PIRSA:19110111,
            doi = {10.48660/19110111},
            url = {https://pirsa.org/19110111},
            author = {Lemm, Marius},
            keywords = {Other},
            language = {en},
            title = {Spectral gaps without frustration},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {nov},
            note = {PIRSA:19110111 see, \url{https://pirsa.org}}

Marius Lemm Harvard University


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.