Macroscopic Quantum Systems and Gravitational Fields

We propose a theoretical model aimed at describing the possible mutual interaction between the gravitational field and materials in the superconducting state. Particular attention is paid to the possibility that coherent quantum macrosystems can induce local modifications of the surrounding gravitational field. To this end, a gravito-Maxwell formalism is adopted, enriched by the use of the Ginzburg-Landau phenomenological theory of phase transitions in superconductors. In this framework, superconducting materials are characterized by parameters that can, at least in principle, be optimized to enhance specific effects. In this context, determining factors are the geometry of the samples, the possible application of external electromagnetic fields with appropriate frequencies, and the specific intrinsic properties of the materials.