On the fermionic van der Waals and Casimir-Polder interactions

• URL: http://arxiv.org/abs/2411.10241v2
• Date: Tue, 19 Nov 2024 14:01:51 GMT
• Title: On the fermionic van der Waals and Casimir-Polder interactions
• Authors: C. D. Fosco, G. Hansen,
• Abstract summary: We formulate fermionic versions of the van der Waals and Casimir-Polder interactions, and study their properties. In both cases, the systems we introduce contain localized atoms': two-level systems, coupled to a vacuum Dirac field. This Dirac field plays here a role akin to the electromagnetic field in the van der Waals case. In this context, bag-model conditions for the Dirac field serve as the analog of the'mirror' in the Casimir-Polder effect.
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• Abstract: We formulate fermionic versions, for any number of spatial dimensions, of the van der Waals and Casimir-Polder interactions, and study their properties. In both cases, the systems we introduce contain localized `atoms': two-level systems, coupled to a vacuum Dirac field. This Dirac field plays here a role akin to the electromagnetic field in the van der Waals case. In this context, bag-model conditions for the Dirac field serve as the analog of the 'mirror' in the Casimir-Polder effect. We found that, in this case, the resulting interaction is repulsive.

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