Probing entanglement across the energy spectrum of a hard-core
Bose-Hubbard lattice
- URL: http://arxiv.org/abs/2306.02571v4
- Date: Mon, 25 Dec 2023 19:22:25 GMT
- Title: Probing entanglement across the energy spectrum of a hard-core
Bose-Hubbard lattice
- Authors: 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,
and William D. Oliver
- Abstract summary: Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems.
Here, we use a controllable $4 times 4$ array of superconducting qubits to emulate a two-dimensional hard-core Bose-Hubbard lattice.
We generate superposition states by simultaneously driving all lattice sites and extract correlation lengths and entanglement entropy across its many-body energy spectrum.
- Score: 0.18563999711877643
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Entanglement and its propagation are central to understanding a multitude of
physical properties of quantum systems. Notably, within closed quantum
many-body systems, entanglement is believed to yield emergent thermodynamic
behavior. However, a universal understanding remains challenging due 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 $4 \times 4$ array of superconducting qubits to emulate a
two-dimensional hard-core Bose-Hubbard 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 center of the
spectrum and a crossover to the onset of area-law scaling near its edges.
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