Corpus ID: 211817902

Infinite excitation limit: horocyclic chaos

  title={Infinite excitation limit: horocyclic chaos},
  author={M. Dubashinskiy},
  journal={arXiv: Dynamical Systems},
What will be if, given a pure stationary state on a compact hyperbolic surface, we start applying creation operator every $\hbar$ "adiabatic" second? It turns that during adiabatic time comparable to 1 wavefunction will change as a wave traveling with a finite speed (with respect to the adiabatic time), whereas the semiclassical measure of the system will undergo a controllable transformation. If adiabatic time goes to infinity then, by quantum Furstenberg Theorem, the system will become… Expand

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