On some rigorous aspects of fragmented condensation. (10th November 2020)

• Record Type: Journal Article
• Authors: Dimonte, Daniele; Falconi, Marco; Olgiati, Alessandro
• Is Part Of: Nonlinearity. Volume 34:Number 1(2021)
• Page Start: 1
• Page End: 32
• Publication Date: 2020-11-10
• Subjects: fragmented condensation -- many-body bosonic systems -- Hartree equation; primary: 81V73. Secondary: 35Q40, 82B10, 81V70; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/abb451
• Languages: English
• ISSNs: 0951-7715

Abstract

Abstract: In this paper we discuss some aspects of fragmented condensation from a mathematical perspective. We first propose a simple way of characterizing finite fragmentation. Then, inspired by recent results of semiclassical analysis applied to bosonic systems with infinitely many degrees of freedom, we address the problem of persistence of fragmented condensation. We show that the latter occurs in interacting systems, in the mean-field regime, and in the limit of large gap of the one-body Hamiltonian.