Wikipedia
The Trophimoi ( Greek: τρόφιμοι, students or pupils from τροφός trophós food) were children of non-Spartiatae - Perioeci or foreigners - who underwent Spartan education.
The trophimoi are temporarily adopted by a Spartan oikos. The trophimoi sons of Perioeci, represent, like the neodamodes and the nothoi (natural sons of slaves and citizens), an intermediate class at Sparta. They could rise to the status of citizens. According to Plutarch, Agis IV intended by this mean to strengthen the citizenry, that had become too meagre for Sparta's wartime necessities.
The foreign trophimoi normally left Sparta to return to their native towns, where they increased Sparta's influence. Thus, on the invitation of Agesilaus II, Xenophon had raised his own sons at Sparta. However, some trophomoi preferred to remain, and fought in the civic army. This was the case, for example, of the army that Agesipolis I sent to besiege Phlius in 381 BC:
There followed with him also many of the Perioeci as volunteers, men of the better class, and aliens who belonged to the so-called foster-children [i.e. Trophimoi] of Sparta, and sons of the Spartiatae by Helot women, exceedingly finelooking men, not without experience of the good gifts of the state.
(Xénophon Hellenica, )