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- W2966730642 abstract "Recent progress has witnessed that various topological physics can be simulated by electric circuits under alternating current. However, it is still a nontrivial problem if it is possible to simulate the dynamics subject to the Schr{o}dinger equation based on electric circuits. In this work, we reformulate the Kirchhoff law in one dimension in the form of the Schr{o}dinger equation. As a typical example, we investigate quantum walks in $LC$ circuits. We also investigate how quantum walks are different in topological and trivial phases by simulating the Su-Schrieffer-Heeger model in electric circuits. We then generalize them to include dissipation and nonreciprocity by introducing resistors, which produce non-Hermitian effects. We point out that the time evolution of one-dimensional quantum walks is exactly solvable with the use of the generating function made of the Bessel functions." @default.
- W2966730642 created "2019-08-13" @default.
- W2966730642 creator A5077969356 @default.
- W2966730642 date "2019-10-25" @default.
- W2966730642 modified "2023-10-14" @default.
- W2966730642 title "Electric-circuit simulation of the Schrödinger equation and non-Hermitian quantum walks" @default.
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- W2966730642 doi "https://doi.org/10.1103/physrevb.100.165419" @default.
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