SciPost Phys. 5, 023 (2018) ·
published 14 September 2018

· pdf
Scale invariance usually occurs in extended systems where correlation
functions decay algebraically in space and/or time. Here we introduce a new
type of scale invariance, occurring in the distribution functions of physical
observables. At equilibrium these functions decay over a typical scale set by
the temperature, but they can become scale invariant in a sudden quantum
quench. We exemplify this effect through the analysis of linear and nonlinear
quantum oscillators. We find that their distribution functions generically
diverge logarithmically close to the stable points of the classical dynamics.
Our study opens the possibility to address integrability and its breaking in
distribution functions, with immediate applications to matterwave
interferometers.
Dr Dalla Torre: "I thank the Referee for carefu..."
in Report on Scale invariant distribution functions in fewbody quantum systems