3 papers
math.AP2026
Effective Dissipation and Asymptotic Stability in a Finite-Level Quantum System with Wave-Induced Memory
Thierry Goudon
We study quantum systems modeled by Liouville-Von Neumann equations, with a finite number of energy levels. The system is coupled to a wave equation, intended to reproduce environm…
math.AP2023
A simple testbed for stability analysis of quantum dissipative systems
Thierry Goudon, Simona Rota Nodari
We study a two-state quantum system with a non linearity intended to describe interactions with a complex environment, arising through a non local coupling term. We study the stabi…
math.NA2015
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
V. Bonnaillie-Noël, J. A. Carrillo, T. Goudon +1
In this paper we study the diffusion approximation of a swarming model given by a system of interacting Langevin equations with nonlinear friction. The diffusion approximation requ…