Exponential concentration of fluctuations in mean-field boson dynamics
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915804691300352 |
|---|---|
| author | Ginzburg, Matias Gabriel Rademacher, Simone De Palma, Giacomo |
| author_facet | Ginzburg, Matias Gabriel Rademacher, Simone De Palma, Giacomo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16658 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exponential concentration of fluctuations in mean-field boson dynamics Ginzburg, Matias Gabriel Rademacher, Simone De Palma, Giacomo Mathematical Physics Statistical Mechanics Quantum Physics 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. |
| title | Exponential concentration of fluctuations in mean-field boson dynamics |
| topic | Mathematical Physics Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2602.16658 |