Studying a new kind of multiphoton resonances by using symmetric laser fields

In this paper the occurrence of interference resonances and their different behavior at even or odd multiples of photon are studied by using symmetric laser fields that are strongly coupled with two energy levels of a four-level system. For doing this work, a model is presented based on crossing points of levels where transitions are created. At first multiphoton resonances in the two-level and three-level systems are investigeted briefly and compared with each other through calculating of interference phase, then the strong dephasing regime for a four-level system is introduced and the levels are become time-dependent, in this way, the transition rates of second order and fourth order that have resonant features for integer n (photon number) are calculated. The calculations display asymmetry of resonances at multiples of even or odd is insensitive to fluctuations of the strongly driven levels, and survives into the strong dephasing regime. We investigate the detuning dependence of current steady-state and its complete agreement with the experiments which are done based on calculating current in spin-blockaded conditions via the levels modeling a double quantum dot and by using numerical simulation. Finally, we show the obtained results have the main features of the experimental data.