1.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR399 papers
- Laboratoire de Physique Théorique et ModélisationFR273 papers
- Analyse, Géométrie et ModélisationFR97 papers
- Université Pierre-et-Marie-CurieFR44 papers
- Université Paris-SudFR40 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR30 papers
- Laboratoire d’Etudes du Rayonnement et de la Matière en Astrophysique et AtmosphèresFR29 papers
- Observatoire de ParisFR29 papers
- Equipes Traitement de l'Information et SystèmesFR22 papers
- Université Paris-SaclayFR21 papers
- CEA Paris-SaclayFR19 papers
- Université Toulouse III - Paul SabatierFR19 papers
15 papers · 2 filters
Graph theory and Pfaffian representations of Ising partition function
Thierry Gobron
A well known theorem due to Kasteleyn states that the partition function of an Ising model on an arbitrary planar graph can be represented as the Pfaffian of a skew-symmetric matri…
Mixing properties of the one-atom maser
Laurent Bruneau
We study the relaxation properties of the quantized electromagnetic field in a cavity under repeated interactions with single two-level atoms, so-called one-atom maser. We improve…
Resonant averaging for small solutions of stochastic NLS equations
Sergei Kuksin, Alberto Maiocchi
We consider the free linear Schrödinger equation on a torus , perturbed by a hamiltonian nonlinearity, driven by a random force and damped by a linear damping: $$ u_t…
On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
N. Grosjean, J. M. Maillet, G. Niccoli
We consider general cyclic representations of the 6-vertex Yang-Baxter algebra and analyze the associated quantum integrable systems, the Bazhanov-Stroganov model and the correspon…
The Hartree equation for infinitely many particles. II. Dispersion and scattering in 2D
Mathieu Lewin, Julien Sabin
We consider the nonlinear Hartree equation for an interacting gas containing infinitely many particles and we investigate the large-time stability of the stationary states of the f…
Remarks on the quantum de Finetti theorem for bosonic systems
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
The quantum de Finetti theorem asserts that the k-body density matrices of a N-body bosonic state approach a convex combination of Hartree states (pure tensor powers) when N is lar…
The Hartree equation for infinitely many particles. I. Well-posedness theory
Mathieu Lewin, Julien Sabin
We show local and global well-posedness results for the Hartree equation where is a bounded self-adjoint operator on , …
A family of monotone quantum relative entropies
Mathieu Lewin, Julien Sabin
We study here the elementary properties of the relative entropy $\cH(A,B)=\tr[ϕ(A)-ϕ(B)-ϕ'(B)(A-B)]$ for a convex function and bounded self-adjoint operators. In particul…
Reflection matrices from Hadamard-type Temperley-Lieb R-matrices
J. Avan, P. P. Kulish, G. Rollet
We classify non-operatorial matrices K solving Skylanin's quantum reflection equation for all R-matrices obtained from the newly defined general rank- n Hadamard type representatio…
Temperley-Lieb R-matrices from generalized Hadamard matrices
Jean Avan, Tiago Fonseca, Luc Frappat +3
New sets of rank n-representations of Temperley-Lieb algebra TL_N(q) are constructed. They are characterized by two matrices obeying a generalization of the complex Hadamard proper…
Spurious Modes in Dirac Calculations and How to Avoid Them
Mathieu Lewin, Eric Séré
In this paper we consider the problem of the occurrence of spurious modes when computing the eigenvalues of Dirac operators, with the motivation to describe relativistic electrons…
Repeated interactions in open quantum systems
Laurent Bruneau, Alain Joye, Marco Merkli
Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to expla…
The reduced Hartree-Fock model for short-range quantum crystals with defects
Salma Lahbabi
In this article, we consider quantum crystals with defects in the reduced Hartree-Fock framework. The nuclei are supposed to be classical particles arranged around a reference peri…
On the mathematical treatment of the Born-Oppenheimer approximation
Thierry Jecko
Motivated by a paper by B.T. Sutcliffe and R.G. Woolley, we present the main ideas used by mathematicians to show the accuracy of the Born-Oppenheimer approximation for molecules.…
Derivation of Hartree's theory for generic mean-field Bose systems
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
In this paper we provide a novel strategy to prove the validity of Hartree's theory for the ground state energy of bosonic quantum systems in the mean-field regime. For the well-kn…