Publications at the Riemann Center

Information-geometric approach to the renormalization group

authored by
Cédric Bény, Tobias J. Osborne
Abstract

We propose a general formulation of the renormalization group (RG) as a family of quantum channels which connect the microscopic physical world to the observable world at some scale. By endowing the set of quantum states with an operationally motivated information geometry, we induce the space of Hamiltonians with a corresponding metric geometry. The resulting structure allows one to quantify information loss along RG flows in terms of the distinguishability of thermal states. In particular, we introduce a family of functions, expressible in terms of two-point correlation functions, which are nonincreasing along the flow. Among those, we study the speed of the flow and its generalization to infinite lattices.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Physical Review A - Atomic, Molecular, and Optical Physics
Volume
92
ISSN
1050-2947
Publication date
13.08.2015
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Atom- und Molekularphysik sowie Optik
Electronic version(s)
https://doi.org/10.1103/PhysRevA.92.022330 (Access: Unbekannt)