Unleashing Emergent Fermions with Rydberg Atom Simulators

• URL: http://arxiv.org/abs/2606.19444v1
• Date: Wed, 17 Jun 2026 18:00:05 GMT
• Title: Unleashing Emergent Fermions with Rydberg Atom Simulators
• Abstract summary: We propose two complementary approaches to characterize emergent fermions in quantum many-body systems.<n>In the analog mode, we assemble the Rydberg atoms in a "developable" (namely, preserving local couplings) Mbius band geometry.<n>In the digital mode, we carry out a fermionic version of Kibble-Zurek ramping with a quantum circuit.
• Score: 20.15561766887362
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Rydberg atom simulators, in both analog and digital modes, have attracted significant recent interest due to their versatile geometric reconfigurability. In this work, leveraging this feature, we propose two complementary approaches, one for each mode, to characterize emergent fermions in critical quantum many-body systems. In the analog mode, we assemble the Rydberg atoms in a "developable" (namely, preserving local couplings) Möbius band geometry to realize antiperiodic boundary conditions, where fermionic states reside. Spectroscopic measurement in this sector then reveals universal energy ratios of the bosonic and fermionic states. In the digital mode, we carry out a fermionic version of Kibble-Zurek ramping with a quantum circuit, directly addressing the fermionic scaling form. Reconfigurability allows an exponential speed-up of this task, with an $O(\log L\log\log L)$ circuit-depth overhead. Our work establishes the Rydberg atom simulator as a uniquely powerful platform to attack the notoriously difficult issue of experimentally probing emergent fermions that are nonlocally defined in a bosonic system.

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