Chaotic dynamics in superconducting nanocircuits
Simone Montangero, Alessandro Romito, Giuliano Benenti, Rosario Fazio

TL;DR
This paper explores how superconducting nanocircuits can simulate chaotic quantum systems, analyzing fidelity to understand quantum chaos, localization, and the effects of noise in experimental settings.
Contribution
It demonstrates the realization of quantum chaos phenomena in superconducting nanocircuits and discusses measurement techniques for fidelity in these systems.
Findings
Fidelity can probe exponential instability and chaos in superconducting circuits
Quantum dynamical localization observed in the system
Noise effects on quantum chaos are analyzed
Abstract
The quantum kicked rotator can be realized in a periodically driven superconducting nanocircuit. A study of the fidelity allows the experimental investigation of exponential instability of quantum motion inside the Ehrenfest time scale, chaotic diffusion and quantum dynamical localization. The role of noise and the experimental setup to measure the fidelity is discussed as well.
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