Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models
Fumio Hiroshima, Tomoyuki Shirai · Journal of Mathematical Physics · 2025
The non-commutative harmonic oscillators QαβNH with parameters α, β > 0, αβ > 1 and two-photon quantum Rabi models H△,g2p with △ ≥ 0, |g| 0 and α ≠ β, and to show the fiber decomposition of QαβNH in terms of H△,g2p. We also construct Feynman–Kac formulas for e−tH△,g2p and e−tQαβNH. It is then considered the asymptotic behaviors of the spectral zeta function ζ2p(s) of H△,g2p.