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arXiv 2602.07795quant-ph
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驱动Jaynes-Cummings模型中的几何临界性

Geometric criticality in the driven Jaynes-Cummings model

Fuzhou University(福州大学);Hefei National Laboratory(合肥国家实验室)

Ken Chen, Jia-Hao Lv, Hao-Long Zhang, Fan Wu, Wen Ning, Zhen-Biao Yang, Shi-Biao Zheng

AI总结:

本文研究了驱动Jaynes-Cummings模型中本征态的几何临界性,发现亮本征态的发散行为比暗态更显著,该结果可在回路量子电动力学系统中实验验证。

摘要:

当Jaynes-Cummings模型中的光子模式被外部经典场驱动时,系统可以在临界点经历光子阻塞崩溃相变。此类相变已进行了详细研究,但迄今为止,这些本征态的临界性质仍鲜有探讨。本文研究了这些本征态相关的几何临界性。驱动的幅度和相位作为 governing Hamiltonian 的控制参数。我们发现每个本征态的量子度量和 Berry 曲率张量在临界区域表现出发散行为。更关键的是,与亮本征态相关的发散比与唯一暗态相关的发散更为显著。我们的理论结果可以在回路量子电动力学系统中通过实验验证,其中驱动的Jaynes-Cummings模型已被实现。

英文摘要:

When the photonic mode in the Jaynes-Cummings model is driven by an external classical field, the system can undergo the photon-blockade breakdown phase transition at a critical point. Such a phase transition has been detailedly investigated, but the critical properties of the eigenstates remain largely unexplored so far. We here study the geometric criticality associated with these eigenstates. The amplitude and phase of the drive serve as the control parameter of the governing Hamiltonian. We find the quantum metric and Berry curvature tensors for each eigenstate display divergent behaviors in the critical region. More importantly, the divergence associated with bright eigenstates is much more pronounced than that for the unique dark state. Our theoretical results can be experimentally confirmed in circuit quantum electrodynamics systems, where the driven Jaynes-Cummings model has been realized.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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