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A Formalism Useful to Study Beyond Squeezing in Non-linear Quantum Optics

Quantum Physics 2020-07-30 v2 Optics

Abstract

A general formalism is given in quantum optics within a ring cavity, in which a non-linear material is stored. The method is Feynman graphical one, expressing the transition amplitude or S-matrix in terms of propagators and vertices. The propagator includes the additional damping effect via the non-linear material as well as the reflection and penetration effects by mirrors. Possible application of this formalism is discussed, in estimating the averaged number of produced photons, Husimi function, and the observables to examine beyond the squeezing mechanism of photons.

Keywords

Cite

@article{arxiv.2005.04609,
  title  = {A Formalism Useful to Study Beyond Squeezing in Non-linear Quantum Optics},
  author = {Noriaki Aibara and Naoaki Fujimoto and So Katagiri and Akio Sugamoto and Koichiro Yamaguchi and Tsukasa Yumibayashi},
  journal= {arXiv preprint arXiv:2005.04609},
  year   = {2020}
}

Comments

30 pages, 1 figures; v2: appendices added

R2 v1 2026-06-23T15:25:58.121Z