22 citations · 58 across the 17 of their papers we have counts for
21 papers
Dispersion for the Schr{ö}dinger equation on the line with short-range array of delta potentials
Romain Duboscq, Élio Durand-Simonnet, Stefan Le Coz
We study dispersive properties of the one-dimensional Schr{ö}dinger equation with a short-range array of delta interactions. More precisely, we consider the self-adjoint operator o…
Irrationality as a mean of regularization in Bayesian Persuasion
Romain Duboscq, Frédéric de Gournay
We study a regularized variant of the Bayesian Persuasion problem, where the receiver's decision process includes a divergence-based penalty that accounts for deviations from perfe…
Ground States of the Nonlinear Schr{ö}dinger Equation on the Tadpole Graph with a Repulsive Delta Vertex Condition
Romain Duboscq, Élio Durand-Simonnet, Stefan Le Coz
We consider the stationary nonlinear Schr{ö}dinger equation set on a tadpole graph with a repulsive delta vertex condition between the loop and the tail of the tadpole. We establis…
An asymptotic preserving scheme for the quantum Liouville-BGK equation
Romain Duboscq, Olivier Pinaud
We are interested in this work in the numerical resolution of the Quantum Liouville-BGK equation, which arises in the derivation of quantum hydrodynamical models from first princip…
Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis
Christophe Besse, Romain Duboscq, Stefan Le Coz
Our goal is to compute excited states for the nonlinear Schr{ö}dinger equation in the radial setting. We introduce a new technique based on the Nehari manifold approach and give a…
Regularization by noise for rough differential equations driven by Gaussian rough paths
Rémi Catellier, Romain Duboscq
We consider the rough differential equation with drift driven by a Gaussian geometric rough path. Under natural conditions on the rough path, namely non-determinism, and uniform el…
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library
Christophe Besse, Romain Duboscq, Stefan Le Coz
Nonlinear quantum graphs are metric graphs equipped with a nonlinear Schr{ö}dinger equation. Whereas in the last ten years they have known considerable developments on the theoreti…
Entropy minimization for many-body quantum systems
Romain Duboscq, Olivier Pinaud
The problem considered here is motivated by a work by B. Nachtergaele and H.T. Yau where the Euler equations of fluid dynamics are derived from manybody quantum mechanics, see [10]…
Gradient Flow Approach to the Calculation of Stationary States on Nonlinear Quantum Graphs
Christophe Besse, Romain Duboscq, Stefan Le Coz
We introduce and implement a method to compute stationary states of nonlinear Schr\''odinger equations on metric graphs. Stationary states are obtained as local minimizers of the n…
On local quantum Gibbs states
Romain Duboscq, Olivier Pinaud
We address in this work the problem of minimizing quantum entropies under local constraints. We suppose macroscopic quantities such as the particle density, current, and kinetic en…
Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
François Impens, Romain Duboscq, David Guéry-Odelin
The propagation of matter waves in curved geometry is relevant for electrons in nano-wires, solid-state physics structures and atomtronics. Curvature effects are usually addressed…
Constrained minimizers of the von Neumann entropy and their characterization
Romain Duboscq, Olivier Pinaud
We consider in this work the problem of minimizing the von Neumann entropy under the constraints that the density of particles, the current, and the kinetic energy of the system is…
The It{ô}-Tanaka Trick: a non-semimartingale approach
Laure Coutin, Romain Duboscq, Anthony Réveillac
In this paper we provide an It{ô}-Tanaka-Wentzell trick in a non semimartingale context. We apply this result to the study of a fractional SDE with irregular drift coefficient.
A constrained optimization problem in quantum statistical physics
Romain Duboscq, Olivier Pinaud
In this paper, we consider the problem of minimizing quantum free energies under the constraint that the density of particles is fixed at each point of Rd, for any d 1. We ar…
Vortex patterns in the almost-bosonic anyon gas
Michele Correggi, Romain Duboscq, Douglas Lundholm +1
We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, pe…
On Strichartz estimates for a dispersion modulated by a time-dependent deterministic noise
Romain Duboscq
We address the Cauchy problem for a nonlinear Schr{ö}dinger equation where the dispersion is modulated by a deterministic noise. The noise is understood as the derivative of a self…
On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for the white noise dispersion
Romain Duboscq, Anthony Réveillac
In this paper, we investigate a stochastic Hardy-Littlewood-Sobolev inequality. Due to the stochastic nature of the inequality, the relation between the exponents of intgrability i…
On the minimization of quantum entropies under local constraints
Romain Duboscq, Olivier Pinaud
This work is concerned with the minimization of quantum entropies under local constraints of density, current, and energy. The problem arises in the work of Degond and Ringhofer ab…
Restoring quasi-reversibility with a single topological charge
Juan Pablo Álvarez Zúñiga, Romain Duboscq, Christophe Besse +2
We numerically study a rotating Bose-Einstein condensate placed transiently over the critical rotation frequency i.e. in a regime where the rotation frequency is larger than the ra…
Stochastic regularization effects of semi-martingales on random functions
Romain Duboscq, Anthony Réveillac
In this paper we address an open question formulated in [17]. That is, we extend the It{ô}-Tanaka trick, which links the time-average of a deterministic function f depending on a s…
Vortex Dynamics of Rotating Bose-Einstein Condensate of Microcavity Polaritons
Bikash Padhi, Romain Duboscq, Ankita Niranjan +1
In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve…