Designed Analogue Black Hole Solitons in Josephson Transmission Lines

In the nonlinear LC circuit dual to the Toda (voltage) soliton, the current (shock-wave-type) solitons spatially modulate the velocity of the electromagnetic waves in the circuit through the nonlinear inductance, resulting in the creation of analogue black holes. The analogue black hole solitons are spontaneously formed, but their configuration could not be controlled so far. In this paper, the on-demand scheme to design the configuration of analogue black holes is presented by using solitons and antisolitons in the nonlinear LC circuit. In addition, a novel photon source using analogue Hawking radiation is also proposed.