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原文連結
論文資訊
- 類型：已發表論文
- 日期：2025-03-03
摘要
We characterize 量子 dynamics in triangular billiards in terms of five properties: (1) the level spacing ratio (LSR), (2) spectral complexity (SC), (3) Lanczos coefficient variance, (4) energy eigenstate localisation in the Krylov basis, and (5) dynamical growth of spread complexity. The billiards we study are classified as integrable, pseudointegrable or non-integrable, depending on their internal angles which determine properties of classical trajectories and associated 量子 spectral statistics. A consistent picture emerges when transitioning from integrable to non-integrable triangles: (1) average LSRs increase; (2) SC growth slows down; (3) Lanczos coefficient variances decrease; (4) energy eigenstates delocalize in the Krylov basis; and (5) spread complexity increases, displaying a peak p
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