Boccato, Chiara; Cenatiempo, Serena; Schlein, Benjamin (2017). Quantum many-body fluctuations around nonlinear Schrödinger dynamics. Annales Henri Poincaré, 18(1):113-191.
We consider the many-body quantum dynamics of systems of bosons interacting through a two-body potential $N^{3\beta−1}V(N^{\beta}x)$, scaling with the number of particles $N$. For $0<\beta<1$, we obtain a norm-approximation of the evolution of an appropriate class of data on the Fock space. To this end, we need to correct the evolution of the condensate described by the one-particle nonlinear Schrödinger equation by means of a fluctuation dynamics, governed by a quadratic generator.
We consider the many-body quantum dynamics of systems of bosons interacting through a two-body potential $N^{3\beta−1}V(N^{\beta}x)$, scaling with the number of particles $N$. For $0<\beta<1$, we obtain a norm-approximation of the evolution of an appropriate class of data on the Fock space. To this end, we need to correct the evolution of the condensate described by the one-particle nonlinear Schrödinger equation by means of a fluctuation dynamics, governed by a quadratic generator.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Nuclear and High Energy Physics Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | 31 January 2017 |
| Deposited On: | 25 Jan 2018 15:12 |
| Last Modified: | 21 Nov 2023 08:04 |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| Funders: | Schweizerischer Nationalfonds |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00023-016-0513-6 |
Boccato, Chiara