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We propose an efficient method for controlled generation of field squeezingwith cold atomic clouds trapped close to a superconducting transmission lineresonator. It is shown that, based on the coherent strong magnetic couplingbetween the collective atomic spins and microwave fields in the transmissionline resonator, two-mode or single mode field squeezed states can be generatedthrough coherent control on the dynamics of the system. The degree of squeezingand preparing time can be directly controlled through tuning the externalclassical fields. This protocol may offer a promising platform for implementingscalable on-chip quantum information processing with continuous variables.

Controlled generation of field squeezing with cold atomic clouds coupled to a superconducting transmission line resonator