Generalized Green-Kubo formula for a dissipative quantum system

Abstract

A generalized Green-Kubo formula is derived for a quantum dissipative system of driven Brownian particle, in which the coupling between the system and the environment is linear. The structure is essentially the same as that for the generalized Green-Kubo formula for driven granular particles. It is demonstrated that the correction to the conventional Green-Kubo formula is zero for a free Brownian particle.

12 pages, no figures. Prog. Theor. Phys. Suppl. (to be published)

References in corpus (2)

• General properties of response functions of nonequilibrium steady states
• Fluctuation relations without microscopic time reversality: Generalized Green-Kubo relation and integral fluctuation theorem for uniformly sheared granular systems

Cited by in corpus (2)

• Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer
• Friction and the oscillatory motion of granular flows