论文标题
不对称量子狂犬模型的热核
The heat kernel of the asymmetric quantum Rabi model
论文作者
论文摘要
在本文中，我们为不对称量子狂犬模型（AQRM）的热内核提供了一个明确的公式，这是量子兔模型（QRM）的对称破坏概括。此处描述的方法是基于Trotter-kato公式的最近开发的QRM热核的扩展。特别是，该方法不是基于路径积分或随机方法。除了热核公式外，我们还提出了包括分区函数的显式公式和特征值分布的WEYL定律，这些公式是从相应光谱Zeta函数的分析延续获得的。
In this paper we derive an explicit formula for the heat kernel of the asymmetric quantum Rabi model (AQRM), a symmetry breaking generalization of the quantum Rabi model (QRM). The method described here is an extension of the recently developed one for the heat kernel of the QRM based on the Trotter-Kato formula. In particular, the method is not based on path integrals or stochastic methods. In addition to the heat kernel formula, we present applications including the explicit formula for the partition function and the Weyl law for the distribution of the eigenvalues, obtained from the analytic continuation of the corresponding spectral zeta function.
