Tootfinder

Ultra-cold atoms quantum tunneling through single and double optical barriers
Roy Eid (IOGS, CNRS), Alfred Hammond (IOGS, CNRS), Lucas Lavoine (IOGS, CNRS), Thomas Bourdel (IOGS, CNRS)
https://arxiv.org/abs/2405.14466 https://arxiv.org/pdf/2405.14466
arXiv:2405.14466v1 Announce Type: new
Abstract: We realize textbook experiments on Bose-Einstein condensate tunnelling through thin repulsive potential barriers. In particular, we demonstrate atom tunnelling though a single optical barrier in the quantum scattering regime where the De Broglie wavelength of the atoms is larger than the barrier width. Such a beam splitter can be used for atom interferometry and we study the case of two barriers creating an atomic Fabry-P{\'e}rot cavity. Technically, the velocity of the atoms is reduced thanks to the use of a 39K Bose-Einstein condensate with no interactions. The potential barriers are created optically and their width is tunable thanks to the use of a digital micro-mirror device. In addition, our scattering experiments enable in-situ characterization of the optical aberrations of the barrier optical system.

Ultra-cold atoms quantum tunneling through single and double optical barriers
Roy Eid (IOGS, CNRS), Alfred Hammond (IOGS, CNRS), Lucas Lavoine (IOGS, CNRS), Thomas Bourdel (IOGS, CNRS)
https://arxiv.org/abs/2405.14466

Integral action feedback design for conservative abstract systems in the presence of input nonlinearities
Ling Ma (LAGEPP), Vincent Andrieu (LAGEP, CNRS), Daniele Astolfi (CNRS, LAGEPP), Mathieu Bajodek (LAGEPP, CPE), Cheng-Zhong Xu (LAGEP), Xuyang Lou
https://arxiv.org/abs/2405.09986

Régine Plas écrit sur les débuts de la psychologie appliquée en France: Ribot, Binet, Édouard Toulouse, Lahy etc..
PLAS, Régine. Les débuts de la psychologie appliquée en France. Revista de Historia de la Psicología, n. 28, p. 137, 2007. Disponível em: <https://cnrs.hal.science/hal-03477040>. …

Real time observation of oxygen diffusion in CGO thin films using spatially resolved Isotope Exchange Raman Spectroscopy
Alexander Stangl (Univ. Grenoble Alpes, CNRS, Grenoble-INP, LMGP, Grenoble France), Nicolas Nuns (Univ. Lille, CNRS, Centrale Lille, Univ. Artois, Lille, France), Caroline Pirovano (Univ. Lille, CNRS, Centrale Lille, Univ. Artois, Lille, France), Kosova Kreka (Catalonia Institute for Energy Research), Francesco Chiabrera (Catalonia Institute for Energy Research), Alb…

Fourier transform in cyclic groups
Yves Benoist (CNRS)
https://arxiv.org/abs/2406.11529 https://arxiv.org/pdf/2406.11529

Fourier transform in cyclic groups
On a cyclic group of prime order, the non-trivial Dirichlet characters together with their Fourier transforms are functions that vanish at 0 and whose modulus is constant outside 0. Answering a question of H. Cohn, we construct new functions with these properties for non-safe primes. The proof relies on Floer homology. In the appendix we also apply this method to the biunimodular functions problem.

Laser-driven shock compression and equation of state of Fe$_2$O$_3$ up to 700 GPa
Alexis Amouretti (Institut de Min\'eralogie de Physique des Mat\'eriaux et de Cosmochimie, CNRS, Sorbonne Universit\'e, MNHN, Paris, France, Graduate School of Engineering, Osaka University, Suita, Osaka, Japan), Marion Harmand (Institut de Min\'eralogie de Physique des Mat\'eriaux et de Cosmochimie, CNRS, Sorbonne Universit\'e, MNHN, Paris, France, PIMM, Arts et Metiers Institute …

Randomized Binary and Tree Search under Pressure
Agust\'in Caracci (Pontificia Universidad Cat\'olica de Chile, Institute for Mathematical and Computational Engineering), Christoph D\"urr (Sorbonne University, CNRS, LIP6), Jos\'e Verschae (Pontificia Universidad Cat\'olica de Chile, Institute for Mathematical and Computational Engineering)

Randomized Binary and Tree Search under Pressure
We study a generalized binary search problem on the line and general trees. On the line (e.g., a sorted array), binary search finds a target node in $O(\log n)$ queries in the worst case, where $n$ is the number of nodes. In situations with limited budget or time, we might only be able to perform a few queries, possibly sub-logarithmic many. In this case, it is impossible to guarantee that the target will be found regardless of its position. Our main result is the construction of a randomized s…

CHANI: Correlation-based Hawkes Aggregation of Neurons with bio-Inspiration
Sophie Jaffard (LJAD), Samuel Vaiter (CNRS, LJAD), Patricia Reynaud-Bouret (CNRS, LJAD)
https://arxiv.org/abs/2405.18828

CHANI: Correlation-based Hawkes Aggregation of Neurons with bio-Inspiration
The present work aims at proving mathematically that a neural network inspired by biology can learn a classification task thanks to local transformations only. In this purpose, we propose a spiking neural network named CHANI (Correlation-based Hawkes Aggregation of Neurons with bio-Inspiration), whose neurons activity is modeled by Hawkes processes. Synaptic weights are updated thanks to an expert aggregation algorithm, providing a local and simple learning rule. We were able to prove that our …

Spanning isogeny classes of principally polarized abelian surfaces with RM
Jean Kieffer (CNRS, LORIA)
https://arxiv.org/abs/2405.19820 https://

Spanning isogeny classes of principally polarized abelian surfaces with RM
We describe how isogenies between principally polarized abelian surfaces (PPAS) with real multiplication (RM) can be decomposed into elementary isogeny types. This leads to a strategy for enumerating the isogeny class of a given PPAS with RM. This note is part of an ongoing work with R. van Bommel, S. Chidambaram, and E. Costa and is not indended for separate publication.