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: Univ Napoli Federico II, Dipartimento Fis Ettore Pancini, Via Cinthia, I-80126 Naples, Italy; Ist Nazl Fis Nucl, Sez Napoli, Via Cinthia, I-80126 Naples, Italy; CNR, Ist Nazl Ott SS Napoli, Ctr Nazl Ric Ist Nazl Ott CNR INO, Via Campi Flegrei 34, I-80078 Pozzuoli, Italy; CNR, Ist ISASI Napoli, Via Pietro Castellino 111, I-80131 Naples, Italy; Univ Roma La Sapienza, Dipartimento Fis, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Ist Nazl Fis Nucl, Sez Roma1, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Univ Sassari, Dipartimento Sci Chim Fis Matemat & Nat, Via Vienna 2, I-07100 Sassari, Italy; Ist Nazl Fis Nucl, Lab Nazl Sud, Via Santa Sofia 62, I-95123 Catania, Italy; European Gravitat Observ EGO, Via Edoardo Amaldi, I-56021 Cascina, Italy; Ctr Phys Theor, Campus Luminy,Case 907, F-13288 Marseille, France; Aix Marseille Univ, CNRS, CPT, UMR 7332, Ave Robert Schuman, F-13288 Marseille, France; Univ Toulon & Var, CNRS, CPT, UMR 7332, Ave Univ, F-83130 La Garde, 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 sheet
DOI: 10.1140/epjp/s13360-022-03025-7

Citations: 3
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