This paper presents a hybrid-frequency on-chip synthetic-dimension simulator, utilizing a thin-film lithium niobate (TFLN) photonic platform. It proposes a new approach that combines both intra-resonant and inter-resonant frequency-lattice sites, enabling the simulation of various complex lattice models with arbitrary coupling configurations, including symmetric, asymmetric, and long-range couplings. These capabilities allow for the simulation of models like the Hall ladder, Creutz ladder, and Su-Schrieffer-Heeger (SSH) models.
Key features of the proposed platform include:
Programmable Simulations: The ability to simulate regular and long-range coupled lattice models on a single chip.
Reduced Experimental Complexity: This hybrid frequency approach significantly reduces the need for multiple experimental setups compared to conventional methods.
Advanced Topological Phenomena: The platform enables the observation of topological effects such as spin-momentum locking, the Aharonov-Bohm cage effect, and topological flat bands.
Applications: The device can be cascaded to enable piecewise-continuous optical frequency shifting, which could be useful for future photonic applications.
The paper demonstrates the high scalability and programmability of the TFLN chip, showing how the hybrid-frequency mode simulator can effectively simulate rich lattice models with nonuniform connectivity, offering promising directions for large-scale quantum simulators.
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