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arXiv · 2408.00287

Construction of various time-dependent Hamiltonians on a single photonic chip

Rui Ye·Guangzhen Li·Shuai Wan·Xiaotian Xue·Piyu Wang·Xin Qiao·Hao Li·Shijie Liu·Jiayu Wang·Rui Ma·Fang Bo·Yuanlin Zheng·Chunhua Dong·Luqi Yuan·Xianfeng Chen
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Abstract

Integrated photonics provides an important platform for simulating physical models with high-performance chip-scale devices, where the lattice size and the time-dependence of a model are key ingredients for further enriching the functionality of a photonic chip. Here, we propose and demonstrate the construction of various time-dependent Hamiltonian models using a single microresonator on thin-film lithium niobate chip. Such an integrated microresonator holds high quality factor to 10^6, and supports the construction of the synthetic frequency lattice with effective lattice sites up to 152 under the electro-optic modulation. By further applying a bichromatic modulation composed of two radio-frequency signals oppositely detuned from the resonant frequency in the microresonator, we build different time-dependent Hamiltonians with the time-varying nearest-neighbor coupling strength in synthetic frequency lattice. We measure the temporal features from capturing the dynamic band structures of the lattice and demonstrate a variety of time-dependent synthetic lattice models by engineering the driven pattern of the modulation, highlighting great flexibility of the microresonator. Our work shows a photonic chip for simulating versatile time-dependent Hamiltonians, which pushes forward quantum simulations in integrated photonics with great experimental tunability and reconfigurability.

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Rui Ye, Guangzhen Li, Shuai Wan, Xiaotian Xue, Piyu Wang, Xin Qiao, Hao Li, Shijie Liu, Jiayu Wang, Rui Ma, Fang Bo, Yuanlin Zheng, Chunhua Dong, Luqi Yuan, Xianfeng Chen. 2024-08-01. Construction of various time-dependent Hamiltonians on a single photonic chip. https://doi.org/10.1103/physrevlett.134.163802

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