PIRSA:14020119 Conference

DOI10.48660/14020119

Conference/School: Emergence in Complex Systems

Fendley, P. (2014). Geometrical dependence of information in 2d critical systems. Perimeter Institute. https://pirsa.org/14020119

Fendley, Paul. Geometrical dependence of information in 2d critical systems. Perimeter Institute, Feb. 12, 2014, https://pirsa.org/14020119 

@misc{ pirsa_PIRSA:14020119,
  doi = {10.48660/14020119},
  url = {https://pirsa.org/14020119},
  author = {Fendley, Paul},
  keywords = {},
  language = {en},
  title = {Geometrical dependence of information in 2d critical systems},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {feb},
  note = {PIRSA:14020119 see, \url{https://pirsa.org}}
}

Abstract

In both classical and quantum critical systems, universal contributions to the mutual information and Renyi entropy depend on geometry. I will first explain how in 2d classical critical systems on a rectangle, the mutual information depends on the central charge in a fashion making its numerical extraction easy, as in 1d quantum systems. I then describe analogous results for 2d quantum critical systems. Specifically, in special 2d quantum systems such as quantum dimer/Lifshitz models, the leading geometry-dependent term in the Renyi entropies can be computed exactly. In more common 2d quantum systems, numerical computations of a corner term hint toward the existence of a universal quantity providing a measure of the number of degrees of freedom analogous to the central charge.

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