39 citations · 219 across the 25 of their papers we have counts for
26 papers
Zeta limits for the spectrum of quantum Rabi models
Cid Reyes-Bustos, Masato Wakayama
The quantum Rabi model (QRM), one of the fundamental models used to describe light and matter interaction, has a deep mathematical structure revealed by the study of its spectrum.…
Covering models of the asymmetric quantum Rabi model: -shifted non-commutative harmonic oscillators
Cid Reyes-Bustos, Masato Wakayama
The non-commutative harmonic oscillator (NCHO) is a matrix valued differential operator originally introduced as a generalization of the quantum harmonic oscillator having a weaker…
Degeneracy and hidden symmetry -- an asymmetric quantum Rabi model with an integer bias
Cid Reyes-Bustos, Masato Wakayama
The hidden symmetry of the asymmetric quantum Rabi model (AQRM) with a half-integral bias (ibQRM) was uncovered in recent studies by the explicit construction of operators…
Remarks on the hidden symmetry of the asymmetric quantum Rabi model
Cid Reyes-Bustos, Daniel Braak, Masato Wakayama
The symmetric quantum Rabi model (QRM) is integrable due to a discrete -symmetry of the Hamiltonian. This symmetry is generated by a known involution operator, measur…
Heat kernel for the quantum Rabi model II: propagators and spectral determinants
Cid Reyes-Bustos, Masato Wakayama
The quantum Rabi model (QRM) is widely recognized as an important model in quantum systems, particularly in quantum optics. The Hamiltonian is known to have a par…
Heat kernel for the quantum Rabi model
Cid Reyes-Bustos, Masato Wakayama
The quantum Rabi model (QRM) is widely recognized as a particularly important model in quantum optics. It is considered to be the simplest and most fundamental system describing qu…