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Entanglement and its propagation are central to understanding a multitude ofphysical properties of quantum systems. Notably, within closed quantummany-body systems, entanglement is believed to yield emergent thermodynamicbehavior. However, a universal understanding remains challenging due to thenon-integrability and computational intractability of most large-scale quantumsystems. Quantum hardware platforms provide a means to study the formation andscaling of entanglement in interacting many-body systems. Here, we use acontrollable $4 \times 4$ array of superconducting qubits to emulate atwo-dimensional hard-core Bose-Hubbard lattice. We generate superpositionstates by simultaneously driving all lattice sites and extract correlationlengths and entanglement entropy across its many-body energy spectrum. Weobserve volume-law entanglement scaling for states at the center of thespectrum and a crossover to the onset of area-law scaling near its edges.

Probing entanglement across the energy spectrum of a hard-core Bose-Hubbard lattice