Perturbative framework for engineering arbitrary Floquet Hamiltonian.

• Tác giả: Lingzhen Guo, Yingdan Xu
• Ngôn ngữ: eng
• Ký hiệu phân loại: 361.25 Action within established social framework
• Thông tin xuất bản: England : Reports on progress in physics. Physical Society (Great Britain) , 2025
• Bộ sưu tập: NCBI
• ID: 217823

Tóm tắt

We develop a systematic perturbative framework to engineer an arbitrary target Hamiltonian in the Floquet phase space of a periodically driven oscillator based on Floquet-Magnus expansion. The high-order errors in the engineered Floquet Hamiltonian are mitigated by adding high-order driving potentials perturbatively. We introduce a transformation method that allows us to obtain an analytical expression of the leading-order correction drive for engineering a target Hamiltonian with discrete rotational and chiral symmetries in phase space. We also provide a numerically efficient procedure to calculate high-order correction drives and apply it to engineer the target Hamiltonian with degenerate eigenstates of multi-component cat states that are important for fault-tolerant hardware-efficiency bosonic quantum computation.