Is it there a Bose-Einstein condensation in the presence of a Gamow state?

The Bose-Einstein Condensation (BEC) is a well-known phenomena common to a variety of quantum many-body systems. In this note we address the question of the realization of BEC in presence of quantum unstable states, as it is the case of bosons moving in a central potential which exhibits bound-state...

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Bibliographic Details
Published in:Physica A 2023-05, Vol.617, p.128677, Article 128677
Main Authors: Civitarese, O., Gadella, M.
Format: Article
Language:English
Subjects:
Bose-Einstein Condensation
Boson systems at finite temperature ground and excited states occupancies
Gamow states
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Summary:The Bose-Einstein Condensation (BEC) is a well-known phenomena common to a variety of quantum many-body systems. In this note we address the question of the realization of BEC in presence of quantum unstable states, as it is the case of bosons moving in a central potential which exhibits bound-states and resonances. The formalism needed to include resonances in the calculation of thermodynamical functions is discussed in the text. The explicit calculation of boson occupation factors shows that BEC is inhibited if resonances are present in the boson spectrum. •Quantum Statistical mechanics.•Bose-Einstein condensation in quantum bosonic systems.•Bound states and resonances in the bosonic spectra.•Competition between localized states (in energies) and distributions.•Possible implications for many body systems at different scales.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2023.128677