TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.3.023
TI  - Scale invariant distribution functions in quantum systems with few degrees of freedom
PY  - 2018/09/14
UR  - https://scipost.org/SciPostPhys.5.3.023
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 3
SP  - 023
A1  - Dalla Torre, Emanuele
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.5.3.023,
	title={{Scale invariant distribution functions in quantum systems with few degrees of freedom}},
	author={Emanuele G. Dalla Torre},
	journal={SciPost Phys.},
	volume={5},
	pages={023},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.3.023},
	url={https://scipost.org/10.21468/SciPostPhys.5.3.023},
}