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We analyze the equilibration process between two either fermionic or bosonicreservoirs containing ultracold atoms with a fixed total number of particlesthat are weakly connected via a few-level quantum system. We allow for both thetemperatures and particle densities of the reservoirs to evolve in time.Subsequently, linearizing the resulting equations enables us to characterizethe equilibration process and its time scales in terms of equilibrium reservoirproperties and linear-response transport coefficients. Additionally, weinvestigate the use of such a device as particle transistor or particlecapacitor and analyze its efficiency.

Nonequilibrium relaxation transport of ultracold atoms