PIRSA:19110111 Scientific Series Other

DOI10.48660/19110111

Series: Perimeter Institute Quantum Discussions

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}}
}

Abstract

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.

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