“…Especially, the OB, as a nonlinear phenomenon which shows two output states for the same input state, has received considerable attention due to its promising application in the all-optical switch. For instance, many theoretical studies for the OB have been done in the quantum-well systems, [22,23] ultracold atoms, [24] optomechanical systems with a Bose-Einstein condensate (BEC), [3,7,8] and so on. [25,26] Furthermore, the OB phenomenon has also witnessed huge experimental progress in the past few years.…”