Trapped bosons, thermodynamic limit and condensation: a study in the framework of resolvent algebras
Abstract
The virtues of resolvent algebras, compared to other approaches for the treatment of canonical quantum systems, are exemplified by infinite systems of non-relativistic bosons. Within this framework, equilibrium states of trapped and untrapped bosons are defined on a fixed C*-algebra for all physically meaningful values of the temperature and chemical potential. Moreover, the algebra provides the tools for their analysis without having to rely on 'ad hoc' prescriptions for the test of pertinent features, such as the appearance of Bose-Einstein condensates. The method is illustrated in case of non-interacting systems in any number of spatial dimensions and sheds new light on the appearance of condensates. Yet the framework also covers interactions and thus provides a universal basis for the analysis of bosonic systems.
Keywords
Cite
@article{arxiv.2012.08609,
title = {Trapped bosons, thermodynamic limit and condensation: a study in the framework of resolvent algebras},
author = {Dorothea Bahns and Detlev Buchholz},
journal= {arXiv preprint arXiv:2012.08609},
year = {2021}
}
Comments
22 pages, no figures; v2: framework more detailed; v3: wording changed; v4: version as to appear in Journal of Mathematical Physics