A healthy-lookin' Demi Moore touched down in L.A. on a private jet Sunday night ... the first time she's been seen in public since her un-charactorastic induced medical emergency back in January. TMZ is reporting that she vacationed in Turks and Caicos following a stint in treatment.

Jason Kempin, Getty Images

When she landed she was greeted with a big 'ol bear hug by a mystery woman who was waiting on the tarmac. Moore had been off the radar ever since the January 23 incident when she was hospitalized for seizure-like symptoms after inhaling nitrous oxide at her L.A. home. Demi's rep said the actress was seeking "professional assistance" to treat exhaustion and improve her overall health ... but wouldn't reveal where she got treatment.  Glad to see Demi is doing much better these days.