In this paper, we first present a brief derivation of the dynamical decoupling conditions. On this basis, we propose our bang-bang (BB) decoupling scheme to suppress the general decoherence, that is, the amplitude damping and phase damping simultaneously, in arbitrary n-level atom in Ξ-configuration. At the same time, we also consider the physical pluses implementation so that the decoupling BB operators in our decoupling scheme are provided explicitly. At last, taking an eight-level atom in Ξ-configuration for example, we use the BB decoupling scheme proposed to suppress the general decoherence, and design the pulse sequences for the BB control operators.
In this paper, we derive the conditions of maintaining quantum coherence in arbitrary n-level atom in Ξ-configuration with Bang-Bang (BB) controls when the system exists the phase decoherence, the amplitude decoherence and the general decoherence (the amplitude damping and phase damping simultaneously), respectively. On this basis, we propose our BB decoupling scheme to suppress the phase decoherence in arbitrary n-level atom in Ξ-configuration. The corresponding decoupling operators are derived explicitly. At last we design the BB decoupling scheme to suppress phase decoherence for a six-level atom system in Ξ-configuration.