Related papers: Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian

Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian

URL: http://arxiv.org/abs/2410.10467v1
Date: Mon, 14 Oct 2024 12:58:55 GMT
Title: Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
Authors: Yingdan Xu, Lingzhen Guo,
Abstract summary: We develop a systematic perturbative framework to engineer an arbitrary target Hamiltonian in the Floquet phase space. The high-order errors in the engineered Floquet Hamiltonian are mitigated by adding high-order driving potentials perturbatively.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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. Especially, we introduce a bracket transformation that makes the calculation of high-order correction drives feasible. We apply our method to engineering a target Hamiltonian with discrete rotational and chiral symmetries in phase space that are important for fault-tolerant hardware-efficiency bosonic quantum computation.

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