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Many-body physics and resolvent algebras

Autor(en)
Detlev Buchholz, Jakob Yngvason
Abstrakt

Some advantages of the algebraic approach to many body physics, based on resolvent algebras, are illustrated by the simple example of non-interacting bosons that are confined in compact regions with soft boundaries. It is shown that the dynamics of these systems converges to the spatially homogeneous dynamics for increasing regions and particle numbers and a variety of boundary forces. The corresponding correlation functions of thermal equilibrium states also converge in this limit. Adding to the regions further particles, the limits are steady states, including Bose-Einstein condensates. They can either be spatially homogeneous, or they are inhomogeneous with varying, but finite local particle densities. In case of this spontaneous breakdown of the spatial symmetry, the presence of condensates can be established by exhibiting temporal correlations over large temporal distances (memory effects).

Organisation(en)
Mathematische Physik
Externe Organisation(en)
Georg-August-Universität Göttingen
Journal
Journal of Mathematical Physics
Band
66
Anzahl der Seiten
10
ISSN
0022-2488
DOI
https://doi.org/10.48550/arXiv.2411.04737
Publikationsdatum
05-2025
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik, 103025 Quantenmechanik
ASJC Scopus Sachgebiete
Statistical and Nonlinear Physics, Mathematical Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/f485c8ce-9333-4d47-9567-c493efe7b642