English

The Wigner flow on the sphere

Quantum Physics 2018-12-10 v1

Abstract

We derive a continuity equation for the evolution of the SU(2) Wigner function under nonlinear Kerr evolution. We give explicit expressions for the resulting quantum Wigner current, and discuss the appearance of the classical limit. We show that the global structure of the quantum current significantly differs from the classical one, which is clearly reflected in the form of the corresponding stagnation lines.

Cite

@article{arxiv.1812.03097,
  title  = {The Wigner flow on the sphere},
  author = {P. Yang and I. F. Valtierra and A. B. Klimov and S. -T. Wu and R. -K. Lee and L. L. Sanchez-Soto and G. Leuchs},
  journal= {arXiv preprint arXiv:1812.03097},
  year   = {2018}
}

Comments

10 pages, two color figures. Comments welcome

R2 v1 2026-06-23T06:35:34.745Z