Berlin 2024 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 71: Many-Body Quantum Dynamics I (joint session DY/TT)

TT 71.12: Vortrag

Donnerstag, 21. März 2024, 12:30–12:45, A 151

Exploring Quantum Dynamics of 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

Recent strides in quantum simulators have propelled the investigation of quantum matter with local constraints to the forefront of research. This study delves into the hard-disk problem, a paradigmatic class of constrained matter, by introducing its quantum version on lattices, which exhibits a natural realization in Rydberg atom arrays due to the Rydberg blockade mechanism. While static properties align with classical cases, dynamical properties are fundamentally different. In one dimension, we identify genuine quantum features in the melting process of a finite-size crystal displaying ballistic behavior, whereas the classical scenario exhibits sub-diffusion governed by the Kardar-Parisi-Zhang universality class. On two-dimensional square lattices, we show that in the quantum domain, crystals remain intact against most defects, whereas classically the initial crystal structure is washed out completely. We link this peculiar quantum behavior to the presence of quantum many-body scars, breaking conventional expectations of ergodicity. Our study highlights the potential of constrained two-dimensional quantum matter to display unique dynamical behaviors.

Keywords: hard-disks; quantum matter with local constraints; quantum many-body scars; ergodicity; Rydberg quantum simulators