## Scale invariant distribution functions in quantum systems with few degrees of freedom

Emanuele G. Dalla Torre

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

- doi: 10.21468/SciPostPhys.5.3.023
- BiBTeX
- RIS
- Submissions/Reports

### Abstract

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 non-linear 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 matter-wave interferometers.

### Cited by 1

Toggle view### Ontology / Topics

See full Ontology or Topics database.### Author / Affiliation: mappings to Contributors and Organizations

See all Organizations.-
^{1 }Emanuele Dalla Torre