Publications

Auteurs Titre Journal
C. Besse, R. Duboscq and S. Le Coz Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis Soumis.
R. Catellier and R. Duboscq Regularization by noise for rough differential equations driven by Gaussian rough paths Soumis.
R. Duboscq and O. Pinaud On local quantum Gibbs states J. Math. Phys. 63, 102102 (2022).
C. Besse, R. Duboscq and S. Le Coz Numerical simulations on nonlinear quantum graphs with th GRAFIDI library SMAI J. Comput. Math., 8, (2022), pp. 1–47.
C. Besse, R. Duboscq and S. Le Coz Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs Annales Henri Lebesgue, 5, (2022) pp. 387-428.
L. Coutin, R. Duboscq and A. Réveillac The Itô-Tanaka Trick : a non-semimartingale approach ALEA, 19, (2022), pp. 881–924.
R. Duboscq and A. Réveillac On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noisy dispersion Annales Henri Lebesgue, 5, (2022), pp. 263–274.
R. Duboscq and O. Pinaud Entropy minimization for many-body quantum systems J. Stat. Phys., 185 (1), (2021).
R. Duboscq and O. Pinaud A constrained optimization problem in quantum statistical physics J. Funct. Anal., 281 (9), (2021).
F. Impens, R. Duboscq and D. Guéry-Odelin Quantum control beyond the adiabatic regime in 2D curved matter-wave guides Phys. Rev. Lett., 124 (25), (2020), pp. 250403.
R. Duboscq and O. Pinaud Constrained minimizers of the von Neumann entropy and their characterization Calc. Var. Partial Differential Equations, 59 (105), (2020).
R. Duboscq and O. Pinaud On the minimization of quantum entropies under local constraints J. Math. Pures Appl., 128, (2019), pp. 87–118.
M. Correggi, R. Duboscq, D. Lundholm and N. Rougerie Vortex patterns in the almost-bosonic anyon gas EPL, 126 (2), (2019), pp. 20005.
C. Besse, J. Billy, R. Duboscq, D. Guéry-Odelin and J. P. A. Zuniga Restoring quasireversibility with a single topological charge Phys. Rev. A, 96 (5), (2017), pp. 053618.
X. Antoine, C. Besse R. Duboscq and V. Rispoli Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations Computer Physics Communications, 219, (2017), pp. 70-78.
R. Duboscq and R. Marty Analysis of a time-splitting scheme for a class of random nonlinear partial differential equations ESAIM: PS, 20, (2016), pp. 572-589.
R. Duboscq and A. Réveillac Stochastic regularization effects of semi-martingales on random functions J. Math. Pures Appl., 106 (6), (2016), pp. 1141–1173.
R. Duboscq A construction of the fundamental solution of the Schrödinger equation with a perturbed quadratic Hamiltonian Nonlinearity, 29 (2), (2016).
B. Padhi, R. Duboscq, A. Niranjan and R. K. Soni Vortex dynamics of rotating Bose-Einstein condensate of microcavity polaritons The European Physical Journal B, 88 (5), (2015).
X. Antoine and R. Duboscq GPELab, a Matlab Toolbox to Solve Gross-Pitaevskii Equations II: Dynamics and Stochastic Simulations Computer Physics Communications, 193, (2015), pp. 95-117.
X. Antoine and R. Duboscq GPELab, a Matlab Toolbox to solve Gross-Pitaevskii Equations I: Computation of Stationary Solutions Computer Physics Communications, 185 (11) (2014), pp. 2969-2991.
X. Antoine and R. Duboscq Robust and Efficient Preconditioned Krylov Spectral Solvers for Computing the Ground States of Fast Rotating and Strongly Interacting Bose-Einstein Condensates Journal of Computational Physics, 258 (1) (2014), pp. 509-523.

Chapitre de livre

Auteurs Chapitre Livre
X. Antoine and R. Duboscq Modeling and Computation of Bose-Einstein Condensates: Stationary States, Nucleation, Dynamics, Stochasticity Nonlinear Optical and Atomic Systems: at the Interface of Mathematics and Physics, Lecture Notes in Mathematics, 2146, pp. 49-145, Springer.

Manuscrit de thèse

Analyse et simulation d'équations de Schrödinger déterministes et stochastiques. Applications aux condensats de Bose-Einstein en rotation