RT Journal Article T1 Quasiprobability currents on the sphere A1 Valtierra, Iván F. A1 Klimov, Andrei B. A1 Leuchs, Gerd A1 Sánchez Soto, Luis Lorenzo AB We present analytic expressions for the s-parametrized currents on the sphere for both unitary and dissipative evolutions. We examine the spatial distribution of the flow generated by these currents for quadratic Hamiltonians. The results are applied for the study of the quantum dissipative dynamics of the time-honored Kerr and Lipkin models, exploring the appearance of the semiclassical limit in stable, unstable, and tunneling regimes. PB Amer Physical Soc SN 2469-9926 YR 2020 FD 2020-03-02 LK https://hdl.handle.net/20.500.14352/6110 UL https://hdl.handle.net/20.500.14352/6110 LA eng NO ©2020 American Physical Society.This work is partially supported by Grant No. 254127 from CONACyT (Mexico). L.L.S.S. acknowledges the support of the Spanish MINECO (Grants No. FIS2015-67963-P and No. PGC2018-099183-B-I00). NO Ministerio de Economía y Competitividad (MINECO) NO CONACyT (Mexico) DS Docta Complutense RD 7 abr 2025