[14a-B408-1~10] 11.5 Junction and circuit fabrication process, digital applications

△ [14a-B408-5] Theory of black hole solitons in Josephson transmission lines

〇(M1)Haruna Katayama¹, Noriyuki Hatakenaka¹, Toshiyuki Fujii² (1.Hiroshima Univ., 2.Asahikawa Medical Univ.)

Keywords:Josephson transmission lines, Korteweg-de Vries solitons, black holes

In the nonlinear LC circuit dual to the Toda lattice (voltage) soliton, it is found by using reductive perturbation techniques that the current flowing through the circuit obeys the defocusing modified Korteweg-de Vries equation with shock-wave-type (current) solitons. The current solitons are formed by the nonlinear inductance being spatially dependent, leading to the spatially varying velocity of electromagnetic waves, resulting in the generation of analogue black holes. In our Josephson transmission line, it is clarified that analogue black holes can be created by spatially varying inductance induced by current solitons.