2018/08/31 by Florio M. Ciaglia, Hans Cruz, Giuseppe Marmo
Physics and Astronomy · Mathematics · #math-ph #math.MP #physics.app-ph
paper · pdf · doi:10.1016/j.aop.2018.09.012
published as Annals of Physics, Volume 398, 2018
arxiv created 2018/10/25 · arxiv updated 2018/11/06
Motivated by a geometric decomposition of the vector field associated with the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) equation for finite-level open quantum systems, we propose a generalization of the recently introduced contact Hamiltonian systems for the description of dissipative-like dynamical systems in the context of (non-necessarily exact) contact manifolds. In particular, we show how this class of dynamical systems naturally emerges in the context of Lagrangian Mechanics and in the case of nonlinear evolutions on the space of pure states of a finite-level quantum system.