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20082026
most citedOn the rate of convergence for the mean field approximation of many-body quantum dynamics

44 citations · 132 across the 21 of their papers we have counts for

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math.AP2024

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…

math-ph2024

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…