https://doi.org/10.1140/epjp/s13360-022-03025-7
Regular Article
Casimir energy for N superconducting cavities: a model for the YBCO (GdBCO) sample to be used in the Archimedes experiment
1
Dipartimento di Fisica Ettore Pancini, Università degli Studi di Napoli Federico II, Via Cinthia, 80126, Napoli, Italy
2
Istituto Nazionale Fisica Nucleare, Sez. Napoli, Via Cinthia, 80126, Napoli, Italy
3
Centro Nazionale Ricerche-Istituto Nazionale di Ottica (CNR-INO), Centro Nazionale Ricerche-Istituto Nazionale di Ottica SS Napoli, Via Campi Flegrei, 34, 80078, Pozzuoli, Italy
4
Centro Nazionale Ricerche, Centro Nazionale Ricerche-Istituto ISASI, Napoli, Via Pietro Castellino, 111, 80131, Napoli, Italy
5
Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro, 2, 00185, Roma, Italy
6
Istituto Nazionale Fisica Nucleare, Sez. Roma1, Piazzale Aldo Moro, 2, 00185, Roma, Italy
7
Dipartimento di Scienze Chimiche, Fisiche, Matematiche e Naturali, Università di Sassari, Via Vienna, 2, 07100, Sassari, Italy
8
Laboratori Nazionali del Sud, Istituto Nazionale Fisica Nucleare, Via Santa Sofia, 62, 95123, Catania, Italy
9
European Gravitational Observatory - EGO, Via Edoardo Amaldi, 56021, Cascina, Italy
10
Campus of Luminy, Centre de Physique Theorique, Case 907, 13288, Marseille, France
11
Aix Marseille Université, CNRS, CPT, UMR 7332, Avenue Robert Schuman, 13288, Marseille, France
12
Université de Toulon, CNRS, CPT, UMR 7332, Avenue de L’Université, 83130, La Garde, France
Received:
20
March
2022
Accepted:
30
June
2022
Published online:
18
July
2022
In this paper we study the Casimir energy of a sample made by N cavities, with 
, across the transition from the metallic to the superconducting phase of the constituting plates. After having characterised the energy for the configuration in which the layers constituting the cavities are made by dielectric and for the configuration in which the layers are made by plasma sheets, we concentrate our analysis on the latter. It represents the final step towards the macroscopical characterisation of a “multi-cavity” (with N large) necessary to fully understand the behaviour of the Casimir energy of a YBCO (or a GdBCO) sample across the transition. Our analysis is especially useful to the Archimedes experiment, aimed at measuring the interaction of the electromagnetic vacuum energy with a gravitational field. To this purpose, we aim at modulating the Casimir energy of a layered structure, the multi-cavity, by inducing a transition from the metallic to the superconducting phase. After having characterised the Casimir energy of such a structure for both the metallic and the superconducting phase, we give an estimate of the modulation of the energy across the transition.
© The Author(s) 2022
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