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Quantum lossy left-handed transmission lines (LHTLs) are central to theminiaturized application in microwave band. This work discusses the NRI of thequantized lossy LHTLs in the presence of the resistance and the conductance ina displaced squeezed Fock state (DSFS). And the results show some novelspecific quantum characteristics of NRI caused by the DSFS and dissipation,which may be significant for its miniaturized application in a suit of novelmicrowave devices.

Negative refraction index of the quantum lossy left-handed transmission lines affected by the displaced squeezed Fock state and dissipation