Eternal or immortal
Amarien is a rare name likely derived from the Latin 'amarantus', referring to the unfading flower, or potentially a modern elaboration of the name Amari. It carries connotations of everlasting life and endurance. In some contexts, it is used as a creative or literary invention with a melodic, ethereal quality.
Less common today
Amarien isn't in the latest US Top 1000. It last peaked at #6,051 in 2008.
US births per 5-year period, 1990βpresent (SSA data).