Quantum zero point electromagnetic energy difference between the superconducting and the normal phase in a high-Tc superconducting metal bulk sample

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 GP.; 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.; Melo ITE.; 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; Consiglio Nazl Ric Ist Nazl Ott CNR INO, Via Campi Flegrei 34, I-80078 Pozzuoli, Italy; Consiglio Nazl Ric Ist ISASI, Via Pietro Castellino 111, I-80131 Naples, Italy; Univ Roma Sapienza, Dipartimento Fis, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Ist Nazl Fis Nucl, Sez,Roma 1,Piazzale Aldo Moro 2, I-00185 Rome, Italy; Univ Milano Bicocca, Dipartimento Fis Giuseppe Occhialini, Piazza Sci 3, I-20126 Milan, Italy; Ist Nazl Fis Nucl, Lab Nazl Sud, Via St Sofia 62, I-95123 Catania, Italy; Univ Sassari, Dipartimento Sci Chim Fis Matematiche & Nat, Via Vienna 2, I-07100 Sassari, 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, UMR 7332, CPT, Ave Robert Schuman, F-13288 Marseille, France; Univ Toulon & Var, CNRS, UMR 7332, CPT, Ave Univ, F-83130 La Garde, France; CNR SPIN, Monte SAngelo via Cintia, I-80126 Naples, Italy.

Abstract: We provide a methodological approach to the estimate of the change of the quantum vacuum electromagnetic energy density in a high critical temperature superconducting metal bulk sample, when it undergoes the transition in temperature, from the superconducting to the normal phase. The various contributions to the Casimir energy in the two phases are highlighted and compared. While the transverse magnetic polarization of the vacuum mode allows for a macroscopic description of the superconducting transition, the changes in the transverse electric vacuum mode induced by the superconductive correlations are introduced within a microscopic model, which does not explicitly take into account the anisotropic structure of the material.

Journal/Review: PHYSICAL REVIEW B

Volume: 106 (13)      Pages from: 134502-1  to: 134502-17

More Information: We acknowledge useful discussions with P. Lucignano and R. Fazio. Work was financially supported by the joint project of the Istituto Nazionale di Fisica Nucleare, the University of Sassari, the Istituto Nazionale di Geofisica e Vulcanologia (INGV), University of Cagliari, and IGEA S.p.a (project SAR-GRAV, funds FSC 2014-2020); by University of Sassari with Fondo di Ateneo per la ricerca, 2019 and 2020, and by University of Napoli, Federico II, with project time crystal, Grant No. E69C20000400005.
KeyWords: Gauge-invariance; Casimir Energy; Conductivity; Films
DOI: 10.1103/PhysRevB.106.134502

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