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In a number of recent experiments with microwave high quality superconductingcoplanar waveguide (CPW) resonators an anomalously weak power dependence of thequality factor has been observed. We argue that this observation implies thatthe monochromatic radiation does not saturate the Two Level Systems (TLS)located at the interface oxide surfaces of the resonator and suggests theimportance of their interactions. We estimate the microwave loss due tointeracting TLS and show that the interactions between TLS lead to a drift oftheir energies that result in a much slower, logarithmic dependence of theirabsorption on the radiation power in agreement with the data.

Internal loss of superconducting resonators induced by interacting two level systems