127 citations
- Université de RennesFR108 papers
- Centre National de la Recherche ScientifiqueFR48 papers
- Institut national de recherche en sciences et technologies du numériqueFR15 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR14 papers
- Institut National des Sciences Appliquées de RennesFR11 papers
- Laboratoire de Mathématiques Blaise PascalFR10 papers
- Sorbonne UniversitéFR8 papers
- École PolytechniqueFR7 papers
- Laboratoire de Mathématiques Jean LerayFR7 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
- École Normale Supérieure de RennesFR6 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR6 papers
16 papers · 1 filter
Semiclassical limit of entropies and free energies
Zied Ammari, Michele Correggi, Marco Falconi +1
Entropy and free energy are central concepts in both statistical physics and information theory, with quantum and classical facets. In mathematics these concepts appear quite often…
Defects in unidimensional structures
Mewen Crespo, Guy Casale, Loïc Le Marrec +1
In a previous work of the first authors, a non-holonomic model, generalising the micromorphic models and allowing for curvature (disclinations) to arise from the kinematic values,…
Boundary states of the Robin magnetic Laplacian
Rayan Fahs, Loïc Le Treust, Nicolas Raymond +1
This article tackles the spectral analysis of the Robin Laplacian on a smooth bounded two-dimensional domain in the presence of a constant magnetic field. In the semiclassical limi…
High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph
Z. Ammari, A. Ratsimanetrimanana
The Kubo-Martin-Schwinger condition is a widely studied fundamental property in quantum statistical mechanics which characterises the thermal equilibrium states of quantum systems.…
Berezin transforms attached to Landau levels on the complex projective space CPn
Nizar Demni, Zouhair Mouayn, Houda Yaqine
In this paper, we construct coherent states for each generalized Bergman space on the n-dimensional complex projective space in order to apply a coherent states quantization method…
Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
Weizhu Bao, Loic Le Treust, Florian Mehats
We study the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmo…