Entanglement entropy in conformal quantum mechanics

Entanglement entropy in conformal quantum mechanics

Blog Article

Abstract We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain.States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.Such iphone 14 price chicago states exhibit the structure of a thermofield double built on bipartite eigenstates of generators of non-global time evolution.

In terms of the correspondence between radial conformal symmetries in Minkowski space-time and time evolution in conformal quantum mechanics proposed in [1, 2] these generators coincide with conformal Killing vectors camo iphone se case tangent to worldlines of Milne and diamond observers at constant radius.The temperature of the thermofield double states in conformal quantum mechanics reproduces the temperatures perceived by such diamond and Milne observers.We calculate the entanglement entropy associated to the thermofield double states and obtain a UV divergent logarithmic behaviour analogous to known results in two-dimensional conformal field theory in which the entangling boundary is point-like.