English

Higher order quantum vortex

Quantum Physics 2018-05-09 v1

Abstract

In this article we present a quantum theoretical framework of photons entangled in higher order modes like Ince-Gauss modes. Ince-Gauss modes are the natural solution of the quantum harmonic oscillator in elliptical coordinates. These modes are defined by an additional quantum number, the ellipticity parameter which is expected to play a major role in continuous variable quantum key distribution protocols. Although such quantum states have been realized in experiments but a proper theoretical framework has been missing. We aim to address this shortcoming with our article.

Keywords

Cite

@article{arxiv.1805.02920,
  title  = {Higher order quantum vortex},
  author = {Anindya Banerji and Ravindra P. Singh and Abir Bandyopadhyay},
  journal= {arXiv preprint arXiv:1805.02920},
  year   = {2018}
}

Comments

First draft with main observations. Revised version suitable for journal communication will be uploaded shortly. Comments are welcome

R2 v1 2026-06-23T01:48:10.562Z