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    Dipole condensates in synthetic rank-2 electric fields

    Jiali Zhang1, Wenhui Xu2, Qi Zhou2,3,*, and Shaoliang Zhang1,4,†

    • *Contact author: zhou753@purdue.edu
    • †Contact author: shaoliang@hust.edu.cn

    Phys. Rev. A 114, 023314 – Published 13 August, 2026

    DOI: https://doi.org/10.1103/prxs-12mk

    Abstract

    Dipole condensates, formed from particle-hole pairs, represent a unique class of charge-neutral quantum fluids that evade conventional vector gauge fields, making their electrodynamic responses difficult to probe in natural materials. Here, we propose a tunable platform using strongly interacting two-component ultracold atoms to realize dipole condensates and probe their coupling to rank-2 electric fields. By applying spin-dependent forces and treating spin as a synthetic dimension, we engineer a synthetic rank-2 electric field that induces measurable electrodynamic responses. We identify the atomic analog of perfect Coulomb drag: increasing intercomponent interactions leads to equal and opposite displacements of the centers of mass of the two spin components. Furthermore, a rank-2 electric field imprints a phase twist in the dipole condensate and generates a supercurrent of dipoles that obeys the dipolar Josephson relation—a smoking gun for dipole condensation. Our results establish a powerful platform for exploring dipolar superfluidity under tensor gauge fields.

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