A superconducting quantum simulator based on a photonic-bandgap metamaterial

Area of Science:

• Quantum Simulation
• Condensed Matter Physics
• Quantum Information Science

Background:

• Studying quantum chaotic dynamics requires synthesizing many-body quantum systems with tunable interaction ranges.
• Nonlocal degrees of freedom, like photonic modes, can enable extended interactions in quantum systems.
• Superconducting circuits offer a promising platform for building quantum simulators.

Purpose of the Study:

• To present a superconducting quantum simulator capable of realizing a one-dimensional Bose-Hubbard model with tunable interactions.
• To investigate quantum chaotic dynamics by controlling the hopping range and on-site interaction.
• To enable in situ Hamiltonian learning through characterization of many-body quench dynamics.

Main Methods:

• Utilizing a superconducting quantum simulator with qubits connected via an extensible photonic-bandgap metamaterial.
• Implementing individual site control and readout for measurement outcome characterization.
• Analyzing measurement statistics from many-body quench dynamics to understand system evolution.

Main Results:

• Successfully realized a one-dimensional Bose-Hubbard model with tunable hopping and on-site interaction.
• Demonstrated in situ Hamiltonian learning by characterizing measurement outcome statistics.
• Observed the predicted crossover from integrability to ergodicity as the hopping range increased.

Conclusions:

• The developed quantum simulator expands the accessible Hamiltonians for studying emergent randomness and chaotic many-body evolution.
• This work highlights the potential of superconducting circuits and photonic metamaterials for advanced quantum simulations.
• The ability to tune interaction ranges is crucial for exploring the transition from integrable to ergodic quantum dynamics.