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Jaynes-Cummings模型中对抗非厄米性的鲁棒拓扑特征

Robust topological feature against non-Hermiticity in Jaynes-Cummings Model

Zu-Jian Ying

备注：
15 pages, 5 figures
发表信息：
Advanced Quantum Technologies 7, 2400053 (2024)
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AI总结：

本文解析分析了Jaynes-Cummings模型在耗散和衰减诱导的非厄米性下的拓扑特征，发现自旋缠绕拓扑对非厄米性具有鲁棒性，并揭示了多种反转转变与超不变点，提出可利用耗散反向操控量子系统的拓扑特性。

摘要：

Jaynes-Cummings模型（JCM）是光与物质相互作用、量子信息和量子计算的基础模型与构建模块。我们解析地分析了JCM在存在非厄米性时表现出的拓扑特征，该非厄米性可由耗散和衰减率有效诱导。事实上，JCM的本征态在二维平面上以自旋缠绕进行拓扑表征。非厄米性倾斜了自旋缠绕平面并诱导出面外分量，同时拓扑特征得以保持。特别是，除了不变的自旋织构节点外，我们发现在能隙闭合时具有分数相位增益的倾斜角与自旋缠绕方向 reversal transition，无能隙闭合的部分能级无关 reversal transition，以及无能隙闭合且倾斜角为零的完全能级无关 super invariant point。我们的结果表明拓扑特征对非厄米性具有鲁棒性，这在实际应用中是有利的。另一方面，人们反过来可以利用不利的耗散和衰减率来反转自旋缠绕方向，这可能为光与物质相互作用中量子系统的拓扑操控增加一种控制途径。

英文摘要：

The Jaynes-Cummings Model (JCM) is a fundamental model and building block for light-matter interactions, quantum information and quantum computation. We analytically analyze the topological feature manifested by the JCM in the presence of non-Hermiticity which may be effectively induced by dissipation and decay rates. Indeed, the eigenstates of the JCM are topologically characterized by spin windings in two-dimensional plane. The non-Hermiticity tilts the spin winding plane and induces out-of-plane component, while the topological feature is maintained. In particular, besides the invariant spin texture nodes, we find a non-Hermiticity-induced reversal transition of the tilting angle and spin winding direction with a fractional phase gain at gap closing, a partially level-independent reversal transition without gap closing, and a completely level-independent super invariant point with untilted angle and also without gap closing. Our result demonstrates that the topological feature is robust against non-Hermiticity, which would be favorable in practical applications. On the other hand, one may conversely make use of the disadvantageous dissipation and decay rates to reverse the spin winding direction, which might add a control way for topological manipulation of quantum systems in light-matter interactions.

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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