Roadmap on Atomtronics: State of the art and perspective

L Amico, M Boshier, G Birkl, A Minguzzi… - AVS Quantum …, 2021 - pubs.aip.org
Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

Physics-informed neural networks for operator equations with stochastic data

P Escapil-Inchauspé, GA Ruz - arXiv preprint arXiv:2211.10344, 2022 - arxiv.org
We consider the computation of statistical moments to operator equations with stochastic
data. We remark that application of PINNs--referred to as TPINNs--allows to solve the …

Bose-Einstein condensate confined in a one-dimensional ring stirred with a rotating delta link

A Pérez-Obiol, T Cheon - Physical Review E, 2020 - APS
We consider a Bose-Einstein condensate with repulsive interactions confined in a one-
dimensional ring where a Dirac δ is rotating at constant speed. The spectrum of stationary …

Current production in ring condensates with a weak link

A Pérez-Obiol, J Polo, T Cheon - Physical Review A, 2020 - APS
We consider attractive and repulsive condensates in a ring trap stirred by a weak link, and
analyze the spectrum of solitonic trains dragged by the link, by means of analytical …

Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions

A Sacchetti - Journal of Physics A: Mathematical and Theoretical, 2020 - iopscience.iop.org
In this paper we give the quantization rules to determine the normalized stationary solutions
to the cubic nonlinear Schrödinger equation with quasi-periodic conditions on a given …