Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models
Fumio Hiroshima, Tomoyuki Shirai
TL;DR
This paper establishes a relationship between non-commutative harmonic oscillators and two-photon quantum Rabi models, providing fiber decomposition, Feynman-Kac formulas, and analyzing spectral zeta functions.
Contribution
It introduces a novel fiber decomposition of NcHO using 2pQRM and constructs associated Feynman-Kac formulas, advancing understanding of their spectral properties.
Findings
Fiber decomposition of NcHO by 2pQRM demonstrated
Feynman-Kac formulas for NcHO and 2pQRM constructed
Asymptotic behavior of spectral zeta function analyzed
Abstract
The non-commutative harmonic oscillators (NcHO) and 2p-quantum Rabi models (2pQRM) are extensions of harmonic oscillators. The purpose of this paper is to give a relationship between NcHO and 2pQRM, and the fiber decomposition of NcHO by 2pQRM is shown. We also construct Feynman-Kac formulas of NcHO and 2pQRM. Then asymptotic behaviors of the spectral zeta function of 2pQRM is considered.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum Information and Cryptography · Quantum Mechanics and Non-Hermitian Physics