1. In the Star Trek universe Imzadi is a Betazoid word that translates roughly into "Beloved". It basically means someone who is very dear to you; a soulmate. It is also used as a term of endearment.
The most famous usage, of course, was between that of Counslor Deanna Troi and Lt. Cmd. William Riker on Star Trek: TNG.
2. The name of Ami's black and white female housecat.
"You are my heart and soul, Imzadi, and I shall love you forever," she whispered, tears in her eyes.
Imzadi is star trekese for your ulimate soulmate. It is used when you and your lover connect in every single way, beyond our physical realem.
"alex and i are imzadi"