论文标题
与各向异性和非线性Stark耦合相互作用中的缩放关系和拓扑关系点数
Scaling Relations and Topological Quadruple Points in Light-matter Interactions with Anisotropy and Nonlinear Stark Coupling
论文作者
论文摘要
普遍性是不同物理参数的共同质量，它植根于物理系统的深厚性质。扩展关系是围绕量子相变的关键现象的典型普遍性，而拓扑分类提供了与批判性普遍性基本不同的另一种普遍性。两种类别的普遍性都可以存在于具有光 - 物质相互作用的单量系统中，因为通常在基本量子狂犬模型中表现出具有各向异性的基本量子模型，不仅用于线性耦合，而且对于非线性stark耦合（NSC）。在低频率中，展示了不同级别的缩放关系，在本地或全球范围内为各向异性或/和NSC提供。在有限的频率下，这种关键的普遍性破坏了，多样性是主导的。但是，基态的共同拓扑特征可以从节点数中提取，从而在临界多样性中产生了普遍性的拓扑类别。传统和非常规的拓扑转变都出现了，它们的会议从未在线性相互作用中发生，而非线性耦合可以形成拓扑四倍点，这些点被发现是自旋不变点。灵敏度分析表明，除了耦合各向异性之外，NSC还可以是操纵拓扑转换的另一种方法。
Universality is a common quality in different physical parameters that is rooted in the deep nature of physical systems. Scaling relation is a typical universality for critical phenomena around a quantum phase transition, while topological classification provides another type of universality essentially different from the critical universality. Both classes of universalities can be present in a single-qubit system with light-matter interactions, as exhibiting generally in the fundamental quantum Rabi model with anisotropy not only for linear coupling but also for nonlinear Stark coupling (NSC). In low frequencies different levels of scaling relations are demonstrated, holding for anisotropic or/and NSCs, locally or globally. At finite frequencies such a critical universality breaks down and diversity is dominant. However, common topological feature of the ground state can be extracted from the node number, which yields a topological class of universality amidst the critical diversity. Both conventional and unconventional topological transitions emerge, with their meeting, which never occurs in linear interaction, enabled by the nonlinear coupling to form topological quadruple points which are found to be spin-invariant points. Sensitivity analysis indicates that the NSC can be another approach to manipulate topological transitions in addition to coupling anisotropy.
