Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons
Boßmann L, Pavlović N, Pickl P, Soffer A (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 178
Pages Range: 1362-1396
Journal Issue: 6
DOI: 10.1007/s10955-020-02500-8
Abstract
In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of Nd-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N- 1) - 1Nd βv(Nβ·) for β∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN) -norm to arbitrary precision in powers of N- 1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution.
Authors with CRIS profile
Involved external institutions
Eberhard Karls Universität Tübingen
Germany (DE)
University of Texas at Austin
United States (USA) (US)
Ludwig-Maximilians-Universität (LMU)
Germany (DE)
Germany (DE)
University of Texas at Austin
United States (USA) (US)
Ludwig-Maximilians-Universität (LMU)
Germany (DE)
How to cite
APA:
Boßmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons. Journal of Statistical Physics, 178(6), 1362-1396. https://doi.org/10.1007/s10955-020-02500-8
MLA:
Boßmann, Lea, et al. "Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons." Journal of Statistical Physics 178.6 (2020): 1362-1396.
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