2023/02/17 by Marcello Malagutti, Malagutti, Marcello
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2302.09063
In this paper we give a meromorphic continuation of the spectral zeta function for semiregular Non-Commutative Harmonic Oscillators (NCHO). By ``semiregular system'' we mean systems with terms with degree of homogeneity scaling by 1 in their asymptotic expansion. As an application of our results, we first compute the meromorphic continuation of the Jaynes-Cummings (JC) model spectral zeta function. Then we compute the spectral zeta function of the JC generalization to a 3-level atom in a cavity. For both of them we show that it has only one pole in 1.