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  • Letter

Quantum hard disks on a lattice

Vighnesh Dattatraya Naik*, Fabian Ballar Trigueros*, and Markus Heyl

  • Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany

  • *These authors contributed equally to this work.

Phys. Rev. B 110, L220303 – Published 10 December, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.L220303

Abstract

We formulate a quantum version of the hard-disk problem on lattices, which exhibits a natural realization in systems of Rydberg atoms. We find that quantum hard disks exhibit unique dynamical quantum features. In 1D, the crystal melting process displays ballistic behavior as opposed to classical subdiffusion. For 2D, crystal structures remain intact against most defects, whereas classically they are washed out completely. We link this peculiar quantum behavior to quantum many-body scars. Our study highlights the potential of constrained 2D quantum matter to display unique dynamical behaviors.

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