[2210.08556] Efficient extraction of multipoint correlations for Floquet Thermalized Systems

[Submitted on 16 Oct 2022]

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Overview: Nonequilibrium dynamics of many-body systems is challenging for classical computing and offers an opportunity to demonstrate the advantages of practical quantum computing using analog quantum simulators. Sampling the driven thermalized many-body states of a Bose-Hubbard system and further extracting multipoint correlations to characterize the quantum phase is classically proposed to be intractable. Here we leverage dedicated precise manipulation and number-resolved detection by quantum gas microscopy to implement and sample a 32-site driven Hubbard chain in the thermalization phase. Multipoint correlations up to the 14th order extracted from the experimental samples allow us to clearly distinguish between thermalization and many-body localization phases. In terms of estimated computational power, quantum simulators rival the fastest supercomputers with the best algorithms known today. Our work paves the way for practical quantum advantages in simulating the Floquet dynamics of many-body systems.