Sliding door system, comprising: - at least one sliding door, which is designed to be disposed in front of an opening to be covered by the sliding door and which has an upper sliding-door mount and a lower sliding-door mount, - an upper guide rail for receiving the upper sliding-door mount in a displaceable manner and a lower guide rail for receiving the lower sliding-door mount in a displaceable manner, which guide rails extend parallel to each other in the longitudinal direction and parallel to the opening, and which each have a clear inner width (x) that is at least twice as big as the thickness of the sliding door, wherein - the upper sliding-door mount and the lower sliding-door mount each are at most half as wide as the clear inner width (x) of each guide rail (22, 24), such that each sliding door can be moved, perpendicularly in relation to the plane of the opening to be covered, into a recessed position located closer to the opening and into a lifted-out position at a greater distance from the opening, and - the recessed position and the lifted-out position each constitute a stable state of the sliding door, from which the sliding door can be moved into the respectively other stable state after overcoming a defined resistance force acting transversely in relation to the direction of displacement, characterized in that - a row of first magnets is disposed, respectively, along the center line of the lower guide rail and of the upper guide rail, and - a row of second magnets is disposed, respectively, in the lower sliding-door mount and in the upper sliding-door mount, such that repelling forces act between the row of first magnets and the row of second magnets. - at least one sliding door, which is designed to be disposed in front of an opening to be covered by the sliding door and which has an upper sliding-door mount and a lower sliding-door mount, - an upper guide rail for receiving the upper sliding-door mount in a displaceable manner and a lower guide rail for receiving the lower sliding-door mount in a displaceable manner, which guide rails extend parallel to each other in the longitudinal direction and parallel to the opening, and which each have a clear inner width (x) that is at least twice as big as the thickness of the sliding door, wherein - the upper sliding-door mount and the lower sliding-door mount each are at most half as wide as the clear inner width (x) of each guide rail (22, 24), such that each sliding door can be moved, perpendicularly in relation to the plane of the opening to be covered, into a recessed position located closer to the opening and into a lifted-out position at a greater distance from the opening, and - the recessed position and the lifted-out position each constitute a stable state of the sliding door, from which the sliding door can be moved into the respectively other stable state after overcoming a defined resistance force acting transversely in relation to the direction of displacement, - a row of first magnets is disposed, respectively, along the center line of the lower guide rail and of the upper guide rail, and - a row of second magnets is disposed, respectively, in the lower sliding-door mount and in the upper sliding-door mount, such that repelling forces act between the row of first magnets and the row of second magnets.