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arXiv · 2606.13772

Digital programming of spin correlations in a fermionic lattice quantum simulator

Yann Kiefer·Lars Fischer·Zijie Zhu·Konrad Viebahn·Tilman Esslinger
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Abstract

Analog quantum simulation provides a highly controlled platform to study diverse quantum many-body phenomena. However, current methods for state initialisation are limited to thermal ensembles or uncorrelated product states. Here we present a hybrid approach that complements analog preparation with a digital quantum-gate protocol. This approach enables the engineering of target states with specific, long-range spin-correlations from the same initial resource state. By applying collisional gates to adiabatically prepared and filtered four-fermion singlet chains, we program diverse spin-correlation patterns, including that of a Heisenberg chain. We measure the spin correlations using a sequence of quantum gates followed by singlet-pair measurements. Our method paves the way to the targeted preparation of strongly correlated states of matter.

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Yann Kiefer, Lars Fischer, Zijie Zhu, Konrad Viebahn, Tilman Esslinger. 2026-06-11. Digital programming of spin correlations in a fermionic lattice quantum simulator. https://arxiv.org/abs/2606.13772

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