量子拉比模型的几何视角：超绝热普适性与曲率非绝热效应
Geometric perspective on quantum Rabi model: Super adiabatic universality and curvature non-adiabatic effects
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中文总结 AI 辅助
通过将量子拉比模型映射到弯曲纳米线系统，建立几何视角，揭示绝热区自旋纹理的普适标度，并发现量子相变相关的非绝热自旋摆动方向切换，赋予相变几何非绝热解释，为理解光-物质相互作用开辟新途径。
中文摘要 AI 辅助
量子拉比模型（QRM）是光-物质相互作用（LMIs）中的基本模型，然而这个有限分量系统展现出有待探索的无限物理现象，自其提出以来已历经百年，尚未获得完全理解。在本工作中，我们通过将QRM映射到弯曲纳米线系统，为其创建了几何视角，其中曲率诱导的自旋-轨道耦合（SOC）可通过LMI强度和频率比进行调控，从而能够在统一图景中揭示和感知从基态到整个谱的性质普适性与多样性。确实，我们揭示了绝热区中的一种超普适性，它表现为自旋纹理的普适标度，该标度对不同耦合、不同频率和不同能级普遍有效。曲线框架还促进了我们的发现：在QRM中与量子相变（QPT）相关的非绝热自旋纹理中，出现了切向自旋摆动的方向切换，这赋予了QPT一种几何非绝热性解释和内涵。我们还阐明，在曲率诱导效应中，SOC负责谱分叉和振荡。我们的方法和分析易于推广到其他光-物质模型，开启了几何与物理之间的对话，从而为更深入理解LMIs铺平了新途径。
英文摘要
Quantum Rabi model (QRM) is a fundamental model in light-matter interactions (LMIs), whereas this finite-component system manifests infinite physics to be explored and a full understanding has not yet been reached after a hundred years since it was proposed. In the present work we create a geometric perspective for the QRM by mapping to a curved nanowire system, with curvature-induced spin-orbit coupling (SOC) manipulatable by LMI strength and frequency ratio, which is capable of revealing and perceiving the property universality and diversity from the ground state to the whole spectrum in a unified picture. Indeed, we unveil a super university in the adiabatic regime which manifests a universal scaling of spin texture ubiquitously valid for different couplings, different frequencies and different energy levels. The curve frame also facilitates our finding that a direction changeover of tangential spin swing emerges in the non-adiabatic spin texture in association with the quantum phase transition (QPT) in the QRM, which endows a geometric non-adiabaticity interpretation and connotation to the QPT. We also clarify that, among the curvature-induced effects, the SOC accounts for the spectral bifurcation and oscillations. Our method and analysis, readily generalized to other light-matter models, opens a dialogue between geometry and physics, thus paving a novel way to gain deeper insight into LMIs.
发表机构
- School of Physical Science and Technology, Lanzhou University（兰州大学物理科学与技术学院）
- Key Laboratory for Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics, Lanzhou University（兰州大学理论物理中心教育部量子理论及应用重点实验室）
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