Mesoscopic superfluid to superconductor transition

• URL: http://arxiv.org/abs/2512.07632v1
• Date: Mon, 08 Dec 2025 15:22:56 GMT
• Title: Mesoscopic superfluid to superconductor transition
• Authors: Yehoshua Winsten, Doron Cohen,
• Abstract summary: Spectrum tomography for the energy of a ring-shaped Bose-Hubbard circuit is illustrated.<n>Inter-particle interaction $U$ controls superfluidity (SF) and the transition to the Mott Insulator regime.<n>The mesoscopic version of the Meissner effect and the Anderson-Higgs mechanism are discussed.
• Score: 1.81222962624836
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Spectrum tomography for the energy ($E$) of a ring-shaped Bose-Hubbard circuit is illustrated. There is an inter-particle interaction $U$ that controls superfluidity (SF) and the transition to the Mott Insulator (MI) regime. The circuit is coupled to an electromagnetic cavity mode of frequency $ω_0$, and the coupling is characterized by a generalized fine-structure-constant $α$ that controls the emergence of superconductivity (SC). The ${(U,α,ω_0,E)}$ diagram features SF and SC regions, a vast region of fragmented possibly chaotic states, and an MI regime for large $U$. The mesoscopic version of the Meissner effect and the Anderson-Higgs mechanism are discussed.

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