Header

UZH-Logo

Maintenance Infos

Gross–Pitaevskii Evolution for Bose–Einstein condensates


Schlein, Benjamin (2018). Gross–Pitaevskii Evolution for Bose–Einstein condensates. In: Cadamuro, D; Duell, M; Dybalski, W; Simonella, S. Macroscopic limits of quantum systems : Munich, Germany, March 30 - April 1, 2017. München: Springer (Bücher), 171-184.

Abstract

In these notes, we review the results of the paper Gross–Pitaevskii dynamics for Bose–Einstein condensates, a joint work with C. Brennecke. We consider the time evolution of initially trapped Bose–Einstein condensates, in a scaling limit where the interaction has a small scattering length. We show that the condensation is preserved by the many-body dynamics and that the evolution of the condensate wave function is governed by the nonlinear Gross–Pitaevskii equation. Compared with previous results, we prove here the convergence with optimal rates.

Abstract

In these notes, we review the results of the paper Gross–Pitaevskii dynamics for Bose–Einstein condensates, a joint work with C. Brennecke. We consider the time evolution of initially trapped Bose–Einstein condensates, in a scaling limit where the interaction has a small scattering length. We show that the condensation is preserved by the many-body dynamics and that the evolution of the condensate wave function is governed by the nonlinear Gross–Pitaevskii equation. Compared with previous results, we prove here the convergence with optimal rates.

Statistics

Citations

Dimensions.ai Metrics

Altmetrics

Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Language:English
Date:1 January 2018
Deposited On:23 Jan 2019 15:55
Last Modified:29 Jul 2020 08:31
Publisher:Springer (Bücher)
Series Name:Springer Proceedings in Mathematics
Number:270
ISSN:2190-5614
ISBN:9783030016012
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-3-030-01602-9_8

Download

Full text not available from this repository.
View at publisher

Get full-text in a library