VoLQuan: Vortex Lattices and Quantum Hall Effect

Project funded by French National Research Agency (ANR), grant ANR-07-BLAN-0238. Participating organisations named by the source: UNIVERSITE DE VERSAILLES - SAINT-QUENTIN - EN - YVELINES; CNRS PARIS A. Funded amount: EUR 190,000, as stated by the source. Runs 2007-12-10 to n/a. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2026-07-23); national funding data, not CORDIS. Abstract given by the source: The aim of this project is to tackle mathematical issues that are relevant for problems at the core of international interest in physics, and for which several Nobel prizes have been awarded: the Quantum Hall effect in Bose Einstein condensates. For that purpose, - our group is made up of two teams, one of mathematicians and one of physicists. - - The physics of quantized vortices is of tremendous importance in the field of quantum fluids and extends beyond condensed matter physics. Indeed, rearrangements of a vortex lattice in the interior of neutron stars have been proposed as an explanation of the so-called glitches in the rotation - frequency of pulsars. The cosmic strings are topological line defects of cosmological extent akin to the vortices of liquid Helium and their role in galaxy formation is the subject of present research in cosmology. Ultracold gaseous Bose-Einstein condensates - allow tests in the laboratory to study various aspects of - macroscopic quantum physics. - In particular, the quest - for vortices has been immediate. - The possibility of tuning many parameters of the system through - atomic physics techniques turns these gaseous systems into extremely - attractive objects. - - The atoms are confined in a potential created by an external - magnetic field and/or a superposition of laser beams, which gives - access to many different geometries. To nucleate vortices, one has - to add a certain amount of angular momentum to the gas. This can be - done by rotation. In - 2000, the ENS team of Jean Dalibard at Laboratoire - Kastler-Brossel succeeded in observing vortices in a single - component condensate, followed by teams at the MIT and Oxford. This - has triggered off many mathematical works on vortices and the - Abrikosov vortex lattice. All these experimental situations are described by a mean-field approach, where the system - is characterized by a macroscopic wave function solving the - Gross-Pitaevskii or nonlinear Schrodinger equation. - [shortened; the full text is on the OpenAIRE page]

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of French National Research Agency (ANR). Retrieved 2026-10-22. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The VoLQuan project, funded by the French National Research Agency with EUR 190,000, aims to address mathematical issues related to the Quantum Hall effect in Bose Einstein condensates. It involves collaboration between mathematicians and physicists from the Université de Versailles and CNRS Paris. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.