Algebraic approach to the Tavis-Cummings model with three modes of oscillation

E. Choreño; D. Ojeda-Guillén; V. D. Granados

doi:10.1063/1.5012910

Algebraic approach to the Tavis-Cummings model with three modes of oscillation

Quantum Physics 2019-11-12 v1

Authors: E. Choreño , D. Ojeda-Guillén , V. D. Granados

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Abstract

We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode operators, and the tilting transformation of the $SU(1,1)$ and $SU(2)$ groups. The algebraic method based on the Bogoliubov transformation and the normal-mode operators let us obtain the energy spectrum and eigenfunctions of a particular case of the Tavis-Cummings model, while with the tilting transformation we are able to solve the most general case of this Hamiltonian. Finally, we compute some expectation values of this problem by means of the $SU(1,1)$ and $SU(2)$ group theory.

Keywords

tavis-cummings model algebraic methods bogoliubov transformation normal-mode operators su(1,1) su(2) energy spectrum

Cite

@article{arxiv.1710.10945,
  title  = {Algebraic approach to the Tavis-Cummings model with three modes of oscillation},
  author = {E. Choreño and D. Ojeda-Guillén and V. D. Granados},
  journal= {arXiv preprint arXiv:1710.10945},
  year   = {2019}
}

Comments

17 pages. arXiv admin note: text overlap with arXiv:1704.05778

Algebraic approach to the Tavis-Cummings model with three modes of oscillation

Abstract

Keywords

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