title: Energy flow in periodic thermodynamics.
abstract: A key quantity characterizing a time-periodically forced quantum system coupled to a heat bath is the energy flowing in the steady state through the system into the bath, where it is dissipated. We derive a general expression which allows one to compute this energy dissipation rate for a heat bath consisting of a large number of harmonic oscillators and work out two analytically solvable model examples. In particular, we distinguish between genuine transitions effectuating a change of the systems's Floquet state and pseudotransitions preserving that state; the latter are shown to yield an important contribution to the total dissipation rate. Our results suggest possible driving-mediated heating and cooling schemes on the quantum level. They also indicate that a driven system does not necessarily occupy only a single Floquet state when in contact with a zero-temperature bath.
authors.affiliation: Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany.
authors.forename: Matthias
authors.initials: M
authors.lastname: Langemeyer
authors.affiliation: Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany.
authors.forename: Martin
authors.initials: M
authors.lastname: Holthaus