2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98456The state-dependent diffusion, which concerns the Brownian motion of a particle in inhomogeneous media has been described phenomenologically in a number of ways. Based on a system-reservoir nonlinear coupling model we present a microscopic approach to quantum state-dependent diffusion and multiplicative noise in terms of a quantum Markovian Langevin description and an associated Fokker-Planck equation in position space in the overdamped limit. We examine the thermodynamic consistency and explore the possibility of observing a quantum current, a generic quantum effect, as a consequence of this state-dependent diffusion similar to one proposed by Büttiker [Z. Phys. B {\bf 68}, 161 (1987)] in a classical context several years ago.To be published in Journal of Statistical Physics 28 pages, 3 figuresStatistical Mechanicstext