Sergeant Jan Kingshott and civilian detention officers Simon Tansley and Michael Marsden are also charged with misconduct in a public office, and gross negligence following the death of Thomas Orchard.
Mr Orchard, who was 32 and suffered from schizophrenia, had been arrested for a public order offence in October 2012 and was detained at Heavitree Road police station.
The defendants will go on trial before a High Court Judge on 12 January next year.
Body found in Bideford fire investigation
Three teenagers currently on bail
Royal Clarence Hotel redevelopment to start
Work to start on historic city centre building
Road closures for Tar Barrels event
Organisers list road closures and residents-only access.
More redundancies at Devon shipbuilder
Redundancies could include managerial roles.
Devon's fire service change alarm response
Changes could save hundreds of thousands of pounds.
Exeter woman averts disaster at Greek airport
Exeter woman hailed 'a hero'.
