Bose Condensate for Quasifree Fermions
Heide Narnhofer

TL;DR
This paper develops a mathematical framework for fermionic systems in quasifree states, identifies a Bose-Einstein condensate within this context, and examines its stability under interactions.
Contribution
It introduces a fluctuation algebra for fermions in quasifree states and analyzes the emergence and stability of Bose-Einstein condensates in this setting.
Findings
Identification of a Bose-Einstein condensate in fermionic quasifree states
Construction of a fluctuation algebra for fermions
Analysis of condensate stability under interactions
Abstract
We construct the fluctuation algebra for fermions in a quasifree state and its timedependence for quasifree evolutions. We find a Bose-Einstein-condensate and study its stability under interaction.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Applications · Quantum many-body systems
