Control of the frozen geometric quantum correlation by applying the time-dependent electromagnetic field

•Controlling the sudden transitions of the geometric discord by using TDEF.•Two cases of dissipative environment are studied.•The frozen time can be lengthened by applying TDEF.

We investigate how the time-dependent electromagnetic field affects the sudden transitions of the geometric quantum correlation for two qubits each coupled to its own dissipative environment, and two qubits uniformly coupled to a common dissipative environment, respectively. It is shown that the sudden transitions of the geometric quantum correlation in both cases can be controlled by making use of time-dependent electromagnetic field and, in addition, the frozen time during which the geometric quantum correlation remains constant can be lengthened.