I have seen a door of this type using a PIR sensor , it was at the "Millenium" restaurant/bar in Cheltenham (England).
Sadly now closed, this sci-fi themed establishment
was to far ahead of its time it seems. The door by the way worked beutifully, triggering at about 18" to 24" on average.
In Las Vegas (USA) there can be found Quark's Bar from Deep Space 9
wether or not they have similiar trek type sliding doors I cannot say, perhaps one of our American friends or an Alien vistor to the place will know.