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△ [12p-N403-6] [Highlight]Theory of black hole lasers in Josephson metamaterial transmission lines
Keywords:Josephson transmission lines, black hole lasers, metamaterials
We propose a black hole laser in the Josephson metamaterial transmission line to amplify weak Hawking radiation. We have shown that there is a phase soliton that obeys the nonlinear Schrodinger equation in the transmission line. The velocity of the electromagnetic wave inside the soliton is modulated by the Kerr effect, resulting in the creation of two event horizons that behaves as a resonator. It has been found that the soliton operates as a squeezed state laser by considering nonlinear mode conversion at the horizons.