What does he name Carmen mean?

The name Carmen can be used for boys as well as girls.

It's first and original root is Italian and Spanish and means "God's Vineyard", "Garden" or "Orchard.

The second and more recent meaning comes from Latin meaning "song", "tune" or "poem".

Though in English this name is unisex and can be used for both males and females, in Italian and Spanish, it is name given to females mostly.