Tests of quantum gravity-induced non-locality: Hamiltonian formulation of a non-local harmonic oscillator

A. Belenchia*, D. Benincasa, F. Marin, F. Marino, A. Ortolan, M. Paternostro, S. Liberati

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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 nonrelativistic limit of a class of non-local Klein-Gordon operators, f, 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.

Original languageEnglish
Article number155006
Number of pages20
JournalClassical and Quantum Gravity
Volume36
Issue number15
DOIs
Publication statusPublished - 12 Jul 2019

Keywords

  • non-local field theory
  • phenomenology
  • quantum gravity
  • quantum optomechanics

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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