The hospital administrator of each state hospital may designate, in writing, as a police officer, one or more of the bona fide employees of the hospital. The hospital administrator and each such police officer have the powers and authority conferred by law upon peace officers listed in Section 830.38 of the Penal Code. Such police officers shall receive no compensation as such and the additional duties arising therefrom shall become a part of the duties of their regular positions. When and as directed by the hospital administrator, such police officers shall enforce the rules and regulations of the hospital, preserve peace and order on the premises thereof, and protect and preserve the property of the state.