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This study investigates the intersection of supersolidity and magnetism within ultracold atomic systems, specifically focusing on how tunable gauge fields induce magnetic ordering in dipolar lattices. By bridging these two regimes through strong long-range interactions, the research offers a concrete pathway for experimental realization using magnetic lanthanide atoms in optical traps. The findings advance our understanding of strongly correlated quantum matter and provide new theoretical frameworks for manipulating flux patterns in future quantum simulators.
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Flux magnetism in a strongly interacting dipolar lattice supersolid under tunable gauge fields

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arXiv:2509.05058v2 Announce Type: replace-cross Abstract: Supersolidity and magnetism are fundamental phenomena characterizing strongly correlated matter. Here we unveil a mechanism that directly connects these two regimes and can be experimentally accessed in ultracold atomic systems. Specifically, we exploit the distinctive properties of magnetic lanthanide atoms trapped in a one-dimensional anti-magic wavelength optical lattice. This platform enables a realistic implementation of a triangular Bose-Hubbard ladder featuring two key ingredients: strong long-range interactions and tunable gauge fields. Owing to these properties, our numerical analysis reveals a robust lattice supersolid regime with finite fluxes in each triangular plaquette. Remarkably, we show that the density modulation of the supersolid phase and a finite gauge field induce magnetic ordering of the fluxes, forming ferromagnetic and ferrimagnetic patterns. Our results thus reveal a fascinating quantum effect that bridges supersolidity and magnetism.

Abstract:Supersolidity and magnetism are fundamental phenomena characterizing strongly correlated matter. Here we unveil a mechanism that directly connects these two regimes and can be experimentally accessed in ultracold atomic systems. Specifically, we exploit the distinctive properties of magnetic lanthanide atoms trapped in a one-dimensional anti-magic wavelength optical lattice. This platform enables a realistic implementation of a triangular Bose-Hubbard ladder featuring two key ingredients: strong long-range interactions and tunable gauge fields. Owing to these properties, our numerical analysis reveals a robust lattice supersolid regime with finite fluxes in each triangular plaquette. Remarkably, we show that the density modulation of the supersolid phase and a finite gauge field induce magnetic ordering of the fluxes, forming ferromagnetic and ferrimagnetic patterns. Our results thus reveal a fascinating quantum effect that bridges supersolidity and magnetism.

Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2509.05058 [cond-mat.quant-gas]

(or arXiv:2509.05058v2 [cond-mat.quant-gas] for this version)

https://doi.org/10.48550/arXiv.2509.05058 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1103/tbp3-7rh3 Focus to learn more DOI(s) linking to related resources

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