DWIGHT: Welcome to The Oasis! That’s what I named this place, The Oasis, my oasis, a little slice of heaven right here on Earth.
An oasis is a piece of fertile land within a desert or semi-arid environment, often featuring a spring of fresh water surrounded by vegetation. Figuratively, it can refer to a quiet, peaceful place or situation separated from the noise and bustle that surrounds it. Dwight clearly sees his new home as a place of refuge from the stress of life.
Note that Dwight is wearing a shirt with cocktails on it, as if he is already relaxing into vacation mode in Stars Hollow.
Dwight’s house, The Oasis, is the Warner Bros Ranch at the studio lot. It was also the Griswold family home in the 1989 comedy film, National Lampoon’s Christmas Vacation.
The Annotated Gilmore Girls 