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arXiv · 2406.00098

Dirac spin liquid in quantum dipole arrays

Marcus Bintz·Vincent S. Liu·Johannes Hauschild·Ahmed Khalifa·Shubhayu Chatterjee·Michael P. Zaletel·Norman Y. Yao
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Abstract

We predict that the gapless $U(1)$ Dirac spin liquid naturally emerges in a two-dimensional array of quantum dipoles. In particular, we demonstrate that the dipolar XY model$\unicode{x2014}$realized in both Rydberg atom arrays and ultracold polar molecules$\unicode{x2014}$hosts a quantum spin liquid ground state on the kagome lattice. Large-scale density matrix renormalization group calculations indicate that this spin liquid exhibits signatures of gapless, linearly-dispersing spinons, consistent with the $U(1)$ Dirac spin liquid. We identify a route to adiabatic preparation via staggered on-site fields and demonstrate that this approach can prepare cold spin liquids within experimentally realistic time-scales. Finally, we propose a number of novel signatures of the Dirac spin liquid tailored to near-term quantum simulators, including termination-dependent edge modes and the Friedel response to a local perturbation.

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Marcus Bintz, Vincent S. Liu, Johannes Hauschild, Ahmed Khalifa, Shubhayu Chatterjee, Michael P. Zaletel, Norman Y. Yao. 2024-05-31. Dirac spin liquid in quantum dipole arrays. https://arxiv.org/abs/2406.00098

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