digital detox
n. Time spent away from computers and other digital devices.
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Examples
2015
I've chosen this somewhat humourless way of celebrating to road-test the latest travel fad: the digital detox. In this age of information overload, holidaymakers increasingly perfer a break from the treadmill of technological lives filled with 24/7 notifications and spam.
—Sarah Phillips, “A digital detox in Umbria, Italy,” The Guardian (London), January 18, 2015
2013
If you are looking for a resort that respects your need for digital detox there are many that specifically request that should you bring your mobile phones and laptops that you do not use them in public places.
—Rachael Oakes-Ash, “Digital detox: the rise of tech-free tourism,” The Sydney Morning Herald, March 11, 2013
2006 (earliest)
Digital Detox?

So thorny is this issue that many camp professionals acquiesce by saying, "We didn't need any of this electronic junk back in the day. We certainly don't need it now for our campers to have a good time." That's a solid argument in a lot of ways, but it misses a key point: The population of children attending camp today is different than it was twenty-five, fifty, or one hundred years ago. These boys and girls have been brought up using electronic technology for communication,education, entertainment, and relationships.

Any camp that wishes to provide some pure outdoor experiences, devoid of electronic technology, must be ready to deal with campers' "technology separation anxiety."
—Christopher A. Thurber, “The Digital Umbilical: How Clear Missions Guide Electronic Technology Policies,” Campaing Magazine, January 01, 2006
Notes
See also: Does Digital Detox Work? on the Word Spy blog.