Convergence to the Asymptotic Large Deviation Limit

Autor(en)

Maxime Debiossac, Nikolai Kiesel, Eric Lutz

Abstrakt

Large deviation theory offers a powerful and general statistical framework to study the asymptotic dynamical properties of rare events. The application of the formalism to concrete experimental situations is, however, often restricted by finite statistics. Data might not suffice to reach the asymptotic regime or judge whether large deviation estimators converge at all. We here experimentally study the large deviation properties of the stochastic work and heat of a levitated nanoparticle subjected to nonequilibrium feedback control. This setting allows us to determine for each quantity the convergence domain of the large deviation estimators using a criterion that does not require the knowledge of the probability distribution. By extracting both the asymptotic exponential decay and the subexponential prefactors, we demonstrate that singular prefactors significantly restrict the convergence characteristics close to the singularity. Our results provide unique insight into the approach to the asymptotic large deviation limit and underscore the pivotal role of singular prefactors.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Universität Stuttgart

Journal

Physical Review Letters

Band

133

Anzahl der Seiten

6

ISSN

0031-9007

DOI

https://doi.org/10.48550/arXiv.2309.06056

Publikationsdatum

07-2024

Peer-reviewed

Ja

ÖFOS 2012

103029 Statistische Physik, 103021 Optik

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/9b6e79c8-54c8-41f7-9ccf-a6c956985189