Abstract
A scheme for a kind of quantum left-handed metamaterial is proposed, which is composed of an array of superconducting quantum-interference devices and a dielectric background. Based on an analytical study, it is shown that (the real part of) the magnetic permeability $\ensuremath{\mu}$ can be negative with low loss and its frequency dependence is different from that of ordinary split-ring resonators. The structural requirements and frequency range for negative permeability are derived. Moreover, the permeability can be smoothly tuned over a large range by another (coupling) field via a quantum interference, which is similar to electromagnetically induced transparency of atomic systems. Negative refractivity with low loss can be achieved by tuning the permeability.
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