Current in open quantum systems

Details Current in open quantum systems Current in open quantum systems

2004-10-05

arxiv.org/abs/cond-mat/0410105v1

Physics

Condensed Matter

Materials Science

To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.160404

We show that a dissipative current component is present in the dynamics generated by a Liouville-master equation, in addition to the usual component associated with Hamiltonian evolution. The dissipative component originates from coarse graining in time, implicit in a master equation, and needs to be included to preserve current continuity. We derive an explicit expression for the dissipative current in the context of the Markov approximation. Finally, we illustrate our approach with a simple numerical example, in which a quantum particle is coupled to a harmonic phonon bath and dissipation is described by the Pauli master equation.

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