PIRSA:14020119

Geometrical dependence of information in 2d critical 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}}
          }

Paul Fendley University of Oxford

DOI 10.48660/14020119
Collection
Talk Type Conference

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.