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Mesoscopic superfluid-to-superconductor transition

Yehoshua Winsten, Doron Cohen

DOI 10.1103/tssc-m89q · Physical Review A

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Abstract

Spectrum tomography for the energy (E) of a ring-shaped Bose-Hubbard circuit is illustrated. There is an interparticle 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 ω0, and the coupling is characterized by a generalized fine-structure constant α that controls the emergence of superconductivity (SC). The (U,α,ω0,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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