A sliding door system includes at least one sliding door having an upper and lower sliding-door mount, as well as an upper and lower guide rail for displaceably receiving the upper and lower sliding-door mount, respectively. The guide rails extend parallel to each other and each have a clear inner width that is at least twice as large as the thickness of the sliding door. The upper and lower sliding-door mounts are each at most half as wide as the clear inner width of each guide rail, allowing moving the sliding door into recessed and lifted-out positions, each constituting a stable state. By overcoming a resistance force, the sliding door can be moved between stable states. The sliding door system is lightweight and robust, and enables sliding doors to be displaced freely without a particular sliding door being assigned in a fixed manner to a particular opening to be covered.