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