Two-mode generalization of the Jaynes–Cummings and Anti-Jaynes–Cummings models

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We introduce two generalizations of the Jaynes–Cummings (JC) model for two modes of oscillation. The first model is formed by two Jaynes–Cummings interactions, while the second model is written as a simultaneous Jaynes–Cummings and Anti-Jaynes–Cummings (AJC) interactions. We study some of its properties and obtain the energy spectrum and eigenfunctions of these models by using the tilting transformation and the Perelomov number coherent states of the two-dimensional harmonic oscillator. Moreover, as physical applications, we connect these new models with two important and novel problems: The relativistic non-degenerate parametric amplifier and the relativistic problem of two coupled oscillators.

Original languageEnglish
Pages (from-to)121-134
Number of pages14
JournalAnnals of Physics
Volume387
DOIs
StatePublished - Dec 2017

Keywords

  • Coherent state
  • Jaynes–Cummings model
  • Lie algebra

Fingerprint

Dive into the research topics of 'Two-mode generalization of the Jaynes–Cummings and Anti-Jaynes–Cummings models'. Together they form a unique fingerprint.

Cite this