It's just an image of Anima being summoned via aether. It's similiarity to the staff of caduceus was probably chosen by the designers to symbolize being awoken from sleep or being returned from the dead, since that's what the story-line about Anima is mostly about. There's no game lore about it beyond that.

https://en.wikipedia.org/wiki/Caduceus
"It is said the wand would wake the sleeping and send the awake to sleep. If applied to the dying, their death was gentle; if applied to the dead, they returned to life."