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纳米机械量子拉比系统的超强耦合区耗散

Dissipation across the ultrastrong-coupling regime of nanomechanical quantum Rabi systems

Janine C. Franz, Fabio Pistolesi

arXiv 2608.28812首次发表:更新:

发表机构

Université de Bordeaux, CNRS, LOMA, UMR 5798(波尔多大学、法国国家科学研究中心、LOMA实验室)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文针对纳米机械量子拉比系统超强耦合区的耗散问题,提出基于慢变浴谱近似的玻恩-马尔可夫框架,建立了从弱非谐到强非谐区的耗散统一描述,给出了声子阻塞演化等实验相关预测。

AI 中文摘要

与量子二能级系统超强耦合的机械谐振器通过向机械模式引入显著的非谐性,为实现机械量子比特提供了极具前景的途径,尤其在慢振子区域。尽管所得混合系统可由量子拉比模型很好地描述,但在当前纳米机电设备常规探测的宽参数空间中,对耗散的一致处理仍具挑战性。本文中,我们基于慢变浴谱近似,采用玻恩-马尔可夫框架研究开放量子拉比模型中的耗散,得到了林德布拉德主方程,其适用于远超出常规描述的区域,同时在各自极限下可回归常规描述。利用该框架,我们分析了该参数空间中实验可观测的物理量。当旋波近似失效时,声子阻塞会逐渐消失;我们的方法在该区域仍有效,可定量描述声子阻塞随耦合强度和耗散的连续演化。在有限温度下,我们发现弱非谐性时,温度诱导的相干衰减率升高会被抑制。在驱动条件下,我们的方法仍适用于比常规缀饰态主方程强得多的扰动,且表明表观经典可观测量可与维格纳负性共存。我们还捕获了双量子点中有限失谐导致的弱非谐区域。这些结果建立了从弱非谐工作区到强非谐机械量子比特区的耗散统一描述,并为超强耦合机电系统提供了与实验相关的预测。

英文摘要

Mechanical resonators ultrastrongly coupled to quantum two-level systems provide a promising route towards mechanical qubits by introducing significant anharmonicity to the mechanical modes, particularly in the slow-oscillator regime. Although the resulting hybrid system is well described by the quantum Rabi model, a consistent treatment of dissipation remains challenging across the broad parameter space routinely probed in current nanotube electromechanical devices. Here, we investigate dissipation in the open quantum Rabi model using a Born-Markov framework based on the slowly varying bath spectrum approximation, yielding a Lindblad master equation applicable far beyond conventional descriptions while recovering them in their respective limits. Using this framework, we analyze experimentally accessible observables across this parameter space. As the secular approximation breaks down, phonon blockade progressively washes out. Our approach remains valid in this regime, enabling a quantitative description of the continuous evolution of phonon blockade with coupling strength and dissipation. At finite temperature, we find a suppression of the temperature-induced increase of coherence decay rate for weak anharmonicity. Under driving, our approach remains applicable to substantially stronger perturbations than conventional dressed-state master equations and shows that an apparently classical observable can coexist with Wigner negativity. We further capture the weakly anharmonic regime arising from finite detuning in the double-quantum dot. These results establish a unified description of dissipation from weakly anharmonic operating regimes to the strongly anharmonic mechanical-qubit regime and provide experimentally relevant predictions for ultrastrong electromechanical systems.

论文原文

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