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Sachdev-Ye-Kitaev Physics from the Hubbard Model: A Floquet-Engineering Approach
Charles Creffield1, Fernando Sols1, Marco Schirò2
1Universidad Complutense de Madrid, Departamento de Física de Materiales, E-28040 Madrid, Spain.
Physical Review Letters
|August 10, 2026
Summary
Researchers demonstrate a novel "kinetic driving" technique to experimentally realize the complex Sachdev-Ye-Kitaev (SYK) model. This method, applied to cold atoms, offers a practical quantum simulation platform for studying high-temperature superconductivity and black holes.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
- Quantum Information
Background:
- The Sachdev-Ye-Kitaev (SYK) model is crucial for understanding high-temperature superconductivity, black holes, and quantum chaos.
- Experimental realization of the SYK model presents significant challenges.
Purpose of the Study:
- To introduce and validate a novel experimental technique for realizing the SYK model.
- To demonstrate the efficacy of
- kinetic driving
- Floquet engineering in creating SYK-like physics.
Main Methods:
- Application of a specific Floquet engineering technique called
- kinetic driving
- to Hubbard-type models.
- Direct comparison of spectral form factors and out-of-time ordered correlation functions.
- Utilizing cold-atom systems with modulated hopping amplitudes in optical lattices.
Main Results:
- Kinetic driving effectively suppresses single-particle processes.
- Quasirandom all-to-all interactions are generated in Hubbard-type models.
- The driven Bose-Hubbard model accurately reproduces SYK physics.
Conclusions:
- Kinetic driving provides a practical and accurate method for quantum simulation of the SYK model.
- Cold-atom platforms offer a viable experimental realization of SYK physics through kinetic driving.
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