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

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

doi:10.1038/s41586-024-07325-z

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

Journal Article · 24 April 2024 · Nature (London)

DOI: https://doi.org/10.1038/s41586-024-07325-z · OSTI ID:2471677

^[1];

^[2]; Muschinske, Sarah E. ^[2]; Barrett, Cora N. ^[3]; Di Paolo, Agustin ^[2]; Ding, Leon ^[2]; Harrington, Patrick M. ^[2];

^[2]; Das, Rabindra ^[4]; Kim, David K. ^[4]; Niedzielski, Bethany M. ^[4]; Schuldt, Meghan ^[4];

^[5];

^[4]; Yoder, Jonilyn L. ^[4];

^[2]; Yanay, Yariv ^[6];

^[2];

^[5]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Google Quantum AI, Santa Barbara, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Wellesley College, MA (United States)
Massachusetts Inst. of Technology (MIT), Lexington, MA (United States). Lincoln Lab.
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Lexington, MA (United States). Lincoln Lab.
Laboratory for Physical Sciences, College Park, MD (United States)

Entanglement and its propagation are central to understanding many physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behaviour. 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 systems. 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.

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Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). Quantum Systems Accelerator (QSA)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2471677

Journal Information:: Nature (London), Journal Name: Nature (London) Journal Issue: 8012 Vol. 629; ISSN 0028-0836

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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