28–30 Jan 2025
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
America/New_York timezone

Hubbard Model Emulation with Superconducting Qubit Arrays: Entanglement, Vector Potentials, and Flat Bands

28 Jan 2025, 12:40
40m
Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Virtual Workshop

Speaker

Ilan Rosen (MIT)

Description

Arrays of coupled superconducting qubits are a compelling platform for analog quantum simulations of solid-state matter as they natively emulate the Bose-Hubbard model while offering a high degree of control, fast operation rates, and site-resolved readout. Here, we discuss three recent experiments using a two-dimensional array of superconducting qubits. First, we prepare highly entangled many-body states with tunable energy. By increasing the energy of the states, we observe a transition from area-law to volume-law entanglement scaling. Second, we adopt a parametric coupling scheme to emulate an adjustable synthetic magnetic vector potential. We verify that spatial gradients of the vector potential create a synthetic magnetic field, and time variation creates a synthetic electric field. Third, we emulate a lattice with adjustable bandwidth and study localization dynamics in the transition from a dispersive to a flat band structure. We conclude by discussing opportunities and limitations for future simulators based on superconducting qubit arrays.

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