Kavli Affiliate: Oskar Painter
| First 5 Authors: Xueyue Zhang, Eunjong Kim, Daniel K. Mark, Soonwon Choi, Oskar Painter
| Summary:
Synthesis of many-body quantum systems in the laboratory can provide further
insight into the emergent behavior of quantum materials. While the majority of
engineerable many-body systems, or quantum simulators, consist of particles on
a lattice with local interactions, quantum systems featuring long-range
interactions are particularly difficult to model and interesting to study due
to the rapid spatio-temporal growth of entanglement in such systems. Here we
present a scalable quantum simulator architecture based on superconducting
transmon qubits on a lattice, with interactions mediated by the exchange of
photons via a metamaterial waveguide quantum bus. The metamaterial waveguide
enables extensible scaling of the system and multiplexed qubit read-out, while
simultaneously protecting the qubits from radiative decay. As an initial
demonstration of this platform, we realize a 10-qubit simulator of the
one-dimensional Bose-Hubbard model, with in situ tunability of both the hopping
range and the on-site interaction. We characterize the Hamiltonian of the
system using a measurement-efficient protocol based on quantum many-body chaos,
uncovering the remnant phase of Bloch waves of the metamaterial bus in the
long-range hopping terms. We further study the many-body quench dynamics of the
system, revealing through global bit-string statistics the predicted crossover
from integrability to ergodicity as the hopping range is extended beyond
nearest-neighbor. Looking forward, the metamaterial quantum bus may be extended
to a two-dimensional lattice of qubits, and used to generate other spin-like
lattice interactions or tailored lattice connectivity, expanding the accessible
Hamiltonians for analog quantum simulation using superconducting quantum
circuits.
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