Abstract
Tunnelling of a two-level atom is investigated in the two-photonmazer when the atom is initially prepared in a coherentsuperposition state and the cavity in various quantum states. Fora strong coherent field, the tunnelling exhibits more regularoscillations but less remarkable switch effect than that in theone-photon mazer. It is discovered that in the presence ofatomic coherence, the transmission probabilities in the ultracoldregime are significantly different when the cavity field isinitially in coherent, squeezed vacuum, even cat and odd catstates, respectively.
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