Lombok's new international airport opened yesterday and the old airport in Mataram is now closed. The new aiport is located near Praya and about 20 mins drive to Kuta Lombok.
There is still work to complete on the terminal building and surrounding landscaping etc, but planes are landing.
For now, there are no additional flights, but it is hoped that Air Asia will commence soon.
More information can be found here:
This is a first hand account from local expat visiting yesterday:
http://lomboklovers.freeforums.org/jbr-opening-day-at-bil-new-int-l-airport-t60.html
and at the link below