PIRSA:10050074 Conference

DOI10.48660/10050074

Conference/School: Emergence and Entanglement - 2010

Fendley, P. (2010). From few to many. Perimeter Institute. https://pirsa.org/10050074

Fendley, Paul. From few to many. Perimeter Institute, May. 27, 2010, https://pirsa.org/10050074 

@misc{ pirsa_PIRSA:10050074,
  doi = {10.48660/10050074},
  url = {https://pirsa.org/10050074},
  author = {Fendley, Paul},
  keywords = {},
  language = {en},
  title = {From few to many},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {may},
  note = {PIRSA:10050074 see, \url{https://pirsa.org}}
}

Abstract

I discuss a class of systems with a very special property: exact results for physical quantities can be found in the many-body limit in terms of the original (bare) parameters in the Hamiltonian. A classic result of this type is Onsager and Yang's formula for the magnetization in the Ising model. I show how analogous results occur in a fermion chain with strong interactions, closely related to the XXZ spin chain. This is done by exploiting a supersymmetry, and noting that certain quantites are independent of finite-size effects. I also discuss how these ideas are related to an interacting generalization of the Kitaev honeycomb model.

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