Casimir energy for N superconducting cavities: a model for the YBCO (GdBCO) sample to be used in the Archimedes experiment
Year: 2022
Authors: Allocca A.; Avino S.; Balestrieri S.; Calloni E.; Caprara S.; Carpinelli M.; D’Onofrio L.; D’Urso D.; De Rosa R.; Errico L.; Gagliardi G.; Grilli M.; Mangano V.; Marsella M.; Naticchioni L.; Pasqualetti A.; Pepe G.P.; Perciballi M.; Pesenti L.; Puppo P.; Rapagnani P.; Ricci F.; Rosa L.; Rovelli C.; Rozza D.; Ruggi P.; Saini N.; Sequino V.; Sipala V.; Stornaiuolo D.; Tafuri F.; Tagliacozzo A.; Tosta e Melo I.; Trozzo L.
Autors Affiliation: Dipartimento di Fisica Ettore Pancini, Universita degli Studi di Napoli Federico II, Via Cinthia, Napoli, 80126, Italy; Istituto Nazionale Fisica Nucleare, Sez. Napoli, Via Cinthia, Napoli, 80126, Italy; Consiglio Nazionale delle Ricerche-Istituto Nazionale di Ottica (CNR-INO), SS Napoli, Via Campi Flegrei, 34, Pozzuoli, 80078, Italy; Consiglio Nazionale delle Ricerche,ISASI, Napoli, Via Pietro Castellino, 111, Napoli, 80131, Italy; Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro, 2, Roma, 00185, Italy; Istituto Nazionale Fisica Nucleare, Sez. Roma1, Piazzale Aldo Moro, 2, Roma, 00185, Italy; Dipartimento di Scienze Chimiche, Fisiche, Matematiche e Naturali, Università di Sassari, Via Vienna, 2, Sassari, 07100, Italy; Laboratori Nazionali del Sud, Istituto Nazionale Fisica Nucleare, Via Santa Sofia, 62, Catania, 95123, Italy; European Gravitational Observatory – EGO, Via Edoardo Amaldi, Cascina, 56021, Italy; Campus of Luminy, Centre de Physique Theorique, Case 907, Marseille, 13288, France; Aix Marseille University, CNRS, CPT, UMR 7332, Avenue Robert Schuman, Marseille, 13288, France; University de Toulon, CNRS, CPT, UMR 7332, Avenue de L´University, La Garde, 83130, France
Abstract: In this paper we study the Casimir energy of a sample made by N cavities, with N>> 1 , 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.
Journal/Review: EUROPEAN PHYSICAL JOURNAL PLUS
Volume: 137 (7) Pages from: 826-1 to: 826-11
More Information: Open access funding provided by Universita degli Studi di Napoli Federico II within the CRUI-CARE Agreement.KeyWords: Flat plasma sheetDOI: 10.1140/epjp/s13360-022-03025-7