Magnon-assisted photon-phonon conversion in the presence of structured environments

Shi-fan Qi, J. Jing
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引用次数: 15

Abstract

Quantum conversion or interface is one of the most prominent protocols in quantum information processing and quantum state engineering. We propose a photon-phonon conversion protocol in a hybrid magnomechanical system comprising a microwave optical mode, a driven magnon mode and a mechanical-vibrating mode. The microwave photons in the optical cavity are coupled to the magnons by the magnetic-dipole interaction, and the latter are coupled to the mechanical phonons by the magnetostrictive interaction. With strong photon-magnon interaction and strong driving on magnon, an effective Hamiltonian is constructed to describe the conversion between photons and phonons nearby their resonant point. The cavity-magnon system can then play the role of a quantum memory. Moreover, the faithfulness of the photon-phonon conversion is estimated in terms of fidelities for state evolution and state-independent transfer. The former is discussed in the Lindblad master equation taking account the leakages of photon, phonon and magnon into consideration. The latter is derived by the Heisenberg-Langevin equation considering the non-Markovian noise from the structured environments for both optical and mechanical modes. The state-evolution fidelity is found to be robust to the weak leakage. The transfer fidelity can be maintained by the Ohmic and sub-Ohmic environments of the photons and is insensitive to the $1/f$ noise of the phonons. Our work thus provides an interesting application for the magnon system as a photon-phonon converter in the microwave regime.
结构环境下的磁振子辅助光子-声子转换
量子转换或接口是量子信息处理和量子态工程中最重要的协议之一。我们提出了一种由微波光学模式、驱动磁振子模式和机械振动模式组成的混合磁振系统中的光子-声子转换协议。光腔中的微波光子通过磁偶极子相互作用与磁振子耦合,磁偶极子通过磁致伸缩相互作用与机械声子耦合。在强光子-磁振子相互作用和磁振子的强驱动下,构造了一个有效的哈密顿量来描述光子和声子在谐振点附近的转换。这样,腔-磁振子系统就可以扮演量子存储器的角色。此外,根据状态演化和状态独立转移的保真度估计了光子-声子转换的保真度。前者在考虑光子、声子和磁振子泄漏的Lindblad主方程中进行了讨论。后者是由海森堡-朗之万方程推导出来的,考虑了结构环境中光学和机械模式的非马尔可夫噪声。发现状态演化保真度对弱泄漏具有鲁棒性。传输保真度可以通过光子的欧姆和亚欧姆环境来维持,并且对声子的1/f噪声不敏感。因此,我们的工作为磁振子系统在微波环境下作为光子-声子转换器提供了一个有趣的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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