The heat kernel of the asymmetric quantum Rabi model
arXiv:2012.13595 · doi:10.1088/1751-8121/acfbc8
Abstract
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.
20 pages. Fixed errors in previous version and improved presentation
References in corpus (12)
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- The quantum Rabi model: solution and dynamics
- Exact real-time dynamics of the quantum Rabi model
- The hidden symmetry of the asymmetric quantum Rabi model
- Remarks on the hidden symmetry of the asymmetric quantum Rabi model
- Attempt to find the hidden symmetry in the asymmetric quantum Rabi model
- Entanglement resonance in the asymmetric quantum Rabi model
- Heat kernel for the quantum Rabi model II: propagators and spectral determinants
- Heat kernel for the quantum Rabi model
- Degeneracy and hidden symmetry -- an asymmetric quantum Rabi model with an integer bias
- General symmetry operators of the asymmetric quantum Rabi model
- Floquet analysis of extended Rabi models based on high-frequency expansion