A silicon-on-insulator photonic platform implements quantum graphs, enabling non-invasive wave-function imaging via third-harmonic generation and demonstrating contrasting spectral statistics for chaotic versus ergodic graphs that match random matrix theory.
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Analytical study derives conditions for ergodic infinite-temperature relaxation or robust discrete time crystal subharmonic oscillations in periodically kicked spin chains, depending on kicking protocol and initial state.
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Graphs on chip: a silicon photonics platform
A silicon-on-insulator photonic platform implements quantum graphs, enabling non-invasive wave-function imaging via third-harmonic generation and demonstrating contrasting spectral statistics for chaotic versus ergodic graphs that match random matrix theory.