Information geometry for Fermi–Dirac and Bose–Einstein quantum statistics

  title={Information geometry for Fermi–Dirac and Bose–Einstein quantum statistics},
  author={Pedro Pessoa and Carlo Cafaro},
Information geometry is an emergent branch of probability theory that consists of assigning a Riemannian differential geometry structure to the space of probability distributions. We present an information geometric investigation of gases following the Fermi-Dirac and the Bose-Einstein quantum statistics. For each quantum gas, we study the information geometry of the curved statistical manifolds associated with the grand canonical ensemble. The FisherRao information metric and the scalar… 

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