44 citations · 132 across the 21 of their papers we have counts for
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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…
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…
Semiclassical analysis of quantum asymptotic fields in the Yukawa theory
Zied Ammari, Marco Falconi, Marco Olivieri
In this article, we study the asymptotic fields of the Yukawa particle-field model of quantum physics, in the semiclassical regime , with an interaction subject to an…
High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph
Z. Ammari, A. Ratsimanetrimanana
The Kubo-Martin-Schwinger condition is a widely studied fundamental property in quantum statistical mechanics which characterises the thermal equilibrium states of quantum systems.…
Quantum mean field asymptotics and multiscale analysis
Zied Ammari, Sébastien Breteaux, Francis Nier
We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of me…