We study nonequilibrium thermodynamics in a fermionic resonant level model
with arbitrary coupling strength to a fermionic bath, taking the wide-band
limit. In contrast to previous theories, we consider a system where both the
level energy and the coupling strength depend explicitly on time. We find that,
even in this generalized model, consistent thermodynamic laws can be obtained,
up to the second order in the drive speed, by splitting the coupling energy
symmetrically between system and bath. We define observables for the system
energy, work, heat, and entropy, and calculate them using nonequilibrium
Green's functions. We find that the observables fulfill the laws of
thermodynamics, and connect smoothly to the known equilibrium results.Comment: 9 pages, 5 figure
