3 citations · 3 across the 3 of their papers we have counts for
10 papers
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]…
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…