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arXiv · 2602.16658

Exponential concentration of fluctuations in mean-field boson dynamics

Matias Gabriel Ginzburg·Simone Rademacher·Giacomo De Palma
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Abstract

We study the mean-field dynamics of a system of $N$ interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models with arbitrary bounded interactions and models with unbounded interaction potentials, we prove that the probability of having $n$ particles outside the condensate decays exponentially in $n$ for any finite evolution time. Our results strengthen previously known bounds that provide only polynomial control on the probability of having $n$ excitations.

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Matias Gabriel Ginzburg, Simone Rademacher, Giacomo De Palma. 2026-02-18. Exponential concentration of fluctuations in mean-field boson dynamics. https://arxiv.org/abs/2602.16658

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