Abstract
In order to construct a theory for photon-assisted macroscopic quantum tunnelling (MQT)in intrinsic Josephson junctions, we revisit the model of capacitively coupledintrinsic Josephson junctions and clarify how the quantized energy levels in theN-junction stacked system distribute inside a valley of the Josephson sinusoidal potential.Furthermore, we reveal that the MQT escape rate from the single-plasmon states to the uniformvoltage ones by microwave irradiation is proportional to the square of the junction number(N2) in multi-photon processes. This result is consistent with the recent finding inBi-2212 intrinsic Josephson junctions by Jin et al 2006 Phys. Rev. Lett. 96 177003.
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