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Probing entanglement in a 2D hard-core Bose–Hubbard lattice

  • Amir H. Karamlou,
  • Ilan T. Rosen,
  • Sarah E. Muschinske,
  • Cora N. Barrett,
  • Agustin Di Paolo,
  • Leon Ding,
  • Patrick M. Harrington,
  • Max Hays,
  • Rabindra Das,
  • David K. Kim,
  • Bethany M. Niedzielski,
  • Meghan Schuldt,
  • Kyle Serniak,
  • Mollie E. Schwartz,
  • Jonilyn L. Yoder,
  • Simon Gustavsson,
  • Yariv Yanay,
  • Jeffrey A. Grover,
  • William D. Oliver

摘要

Entanglement and its propagation are central to understanding many physical properties of quantum systems13. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behaviour47. However, a universal understanding remains challenging owing to the non-integrability and computational intractability of most large-scale quantum systems. Quantum hardware platforms provide a means to study the formation and scaling of entanglement in interacting many-body systems814. Here we use a controllable 4 × 4 array of superconducting qubits to emulate a 2D hard-core Bose–Hubbard (HCBH) lattice. We generate superposition states by simultaneously driving all lattice sites and extract correlation lengths and entanglement entropy across its many-body energy spectrum. We observe volume-law entanglement scaling for states at the centre of the spectrum and a crossover to the onset of area-law scaling near its edges.