RT Journal Article T1 The Wigner flow on the sphere A1 Yang, Popo A1 Valtierra, Iván F. A1 Klimov, Andrei B. A1 Wu, Shin-Tza A1 Lee, Ray-Kuang A1 Sánchez Soto, Luis Lorenzo A1 Leuchs, Gerd AB 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. PB IOP Publishing LTD SN 0031-8949 YR 2019 FD 2019-04 LK https://hdl.handle.net/20.500.14352/13163 UL https://hdl.handle.net/20.500.14352/13163 LA eng NO © 2019 IOP Publishing Ltd.This work is partially supported by the Grant 254127 of CONACyT (Mexico). S. T. W. is supported by the Ministry of Science and Technology Taiwan (Grant MOST 107-2112-M-194-002. L. L. S. S. acknowledges the support of the Spanish MINECO (Grant FIS2015-67963-P). NO Ministerio de Economía y Competitividad (MINECO) NO CONACyT (Mexico) NO Ministry of Science and Technology Taiwan DS Docta Complutense RD 12 may 2025