Probing Dynamical Resonances In A 5564 Qubit Quantum Annealer

J. Vodeb,1,2 F. Jin,1 D. Willsch,1 M. Willsch,1,4 A. Rava,1,5
J.-Y. Desaules,3 Z. Papic,3 K. Michielsen1,4,5

1Jülich Supercomputing Centre, Institute for Advanced Simulation, Forschungszentrum Jülich, 52425 Jülich, Germany

2Jozef Stefan Institute, Dept. of Complex Matter, Jamova 39, SI-1000 Ljubljana, Slovenia

3School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, UK

4AIDAS, 52425 Jülich, Germany

5RWTH Aachen University, 52056 Aachen, Germany

Understanding the dynamics of complex, strongly interacting many-body systems is crucial in the field of quantum science and engineering. Recent advancements in controlling programmable many-body systems have provided insights into nonequilibrium states, often inaccessible to classical simulations [1-3]. This talk explores the concept of dynamical resonances, which are radically distinct magnetization dynamics occurring only within a very narrow parameter regime, in the transverse field Ising model realized on a quantum annealer. One example that emerges in such a resonant regime are quantum many-body scars, which are rare, non-thermalizing eigenstates that challenge our understanding of quantum thermalization and ergodicity [4-6].

We will delve into the theoretical and experimental aspects of dynamical resonances, discussing their relevance in the context of quantum annealing [7,8]. In particular, we focus on their emergence in the ferromagnetic transverse field Ising model, examining how these elusive quantum phenomena might manifest in state-of-the-art quantum annealers equipped with up to 5564 qubits. The aim of this investigation is to shed light on the properties and dynamics of dynamical resonances, potentially leading to the largest non-equilibrium quantum simulation to date.

This talk will encompass theoretical predictions, experimental setup, methodologies, and preliminary results. We will also touch upon the broader implications of understanding dynamical resonances, as they hold the potential to steer entanglement dynamics in complex many-body systems, opening new avenues in quantum science and engineering.

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