30 citations · 111 across the 12 of their papers we have counts for
12 papers
Two-photon quantum Rabi models - Spectral degeneracy and symmetries
Cid Reyes-Bustos, Masato Wakayama
The quantum Rabi model occupies a distinguished role in the study of quantum light and matter, describing the most fundamental interactions. Elucidation of its spectral properties,…
Wolstenholme primes and group determinants of cyclic groups
Cid Reyes-Bustos, Naoya Yamaguchi, Yuka Yamaguchi
A Wolstenholme prime is a prime number that divides the numerator of the Bernoulli number . A number of equivalent definitions for Wolstenholme primes are known…
Spacing distribution for quantum Rabi models
Daniel Braak, Linh Thi Hoai Nguyen, Cid Reyes-Bustos +1
The asymmetric quantum Rabi model (AQRM) is a fundamental model in quantum optics describing the interaction of light and matter. Besides its immediate physical interest, the AQRM…
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…
The heat kernel of the asymmetric quantum Rabi model
Cid Reyes-Bustos
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…
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…
A simple continued fraction expansion for
Cid Reyes-Bustos
In this paper we present a family of continued fraction expansions for , with , with a simple expression having partial denominators given by arithmetic progressions.…
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…
Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model
Kazufumi Kimoto, Cid Reyes-Bustos, Masato Wakayama
The purpose of this paper is to study the exceptional eigenvalues of the asymmetric quantum Rabi models (AQRM), specifically, to determine the degeneracy of their eigenstates. Here…
Cayley-type graphs for group-subgroup pairs
Cid Reyes-Bustos
In this paper we introduce a Cayley-type graph for group-subgroup pairs and present some elementary properties of such graphs, including connectedness, their degree and partition s…