Did Spartans and Athenians both keep slaves?

Athens had slaves male and female, who served families in their everyday farming and domestic life. There were also public slaves who were used in state buildings and activities. Even the archers of the army were Scythian slaves, who also doubled as a police force.

Sparta had helots - serfs who had a plot of land to which they were bound and gave part of their produce to the Spartan they were allotted to. They were also used as light infantry and archers for the army.