2019/01/31 by Alessio Belenchia, A Belenchia, Dionigi M. T. Benincasa +11
Physics and Astronomy · #Coupling (piping) #Energy spectrum #Hamiltonian (control theory) #Harmonic oscillator #Mechanical and Optical Resonators #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Quantum field theory #Transition of state #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1088/1361-6382/ab2c0a
published as Class. Quantum Grav.36 155006 (2019) · 7+3 pages, 2 figures. This version matches the published one
openalex created_date 2019/01/25 · openalex publication_date 2019/06/25 · arxiv created 2019/07/17 · arxiv updated 2019/07/18 · openalex updated_date 2026/08/05
Abstract Motivated by the development of on-going optomechanical experiments aimed at constraining non-local effects inspired by some quantum gravity scenarios, the Hamiltonian formulation of a non-local harmonic oscillator, and its coupling to a cavity field mode(s), is investigated. In particular, we consider the previously studied model of non-local oscillators obtained as the non-relativistic limit of a class of non-local Klein–Gordon operators, , with f an analytical function. The results of previous works, in which the interaction was not included, are recovered and extended by way of standard perturbation theory. At the same time, the perturbed energy spectrum becomes available in this formulation, and we obtain the Langevin’s equations characterizing the interacting system.