44 citations · 132 across the 21 of their papers we have counts for
23 papers
The Schrödinger-Klein-Gordon System Revisited
Christophe Cheverry, Zied Ammari
We introduce a microlocal formulation of the Schr{ö}dinger-Klein-Gordon system describing the interaction between a non-relativistic quantum particle and a Klein-Gordon field throu…
Higher-Order Approximation of Coherent State Dynamics in Self-Interacting Quantum Field Theories
Zied Ammari, Julien Malartre, Maher Zerzeri
We study the propagation of coherent states in self-interacting bosonic quantum field theories in the semi-classical (mean-field) regime. Relying on Hepp's method and a detailed an…
Semiclassical limit of entropies and free energies
Zied Ammari, Michele Correggi, Marco Falconi +1
Entropy and free energy are central concepts in both statistical physics and information theory, with quantum and classical facets. In mathematics these concepts appear quite often…
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations
Zied Ammari, Andrew Rout, Vedran Sohinger
In this paper, we are concerned with the study of statistical equilibria for focusing nonlinear Schrödinger and Hartree equations on the d-dimensional torus when d=1,2,3. Due to th…
Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph
Zied Ammari, Shahnaz Farhat, Sören Petrat
We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, correspon…
Almost sure existence of global solutions for general initial value problems
Zied Ammari, Shahnaz Farhat, Vedran Sohinger
This article is concerned with the almost sure existence of global solutions for initial value problems of the form on separable dual Banach spaces. We prove…