俄罗斯新西伯利亚大学“几何、拓扑及其应用”学术报告——Infinite excitation limit: horocyclic chaos.
发文时间：2020-06-01
来源：304am永利集团
Speaker：M. Dubashinskiy (Chebyshev Laboratory, St. Petersburg State University)
Time：2020-06-01 15:00 （Beijing time）
Abstract: What will be if, given a pure stationary state at 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 admitting a description in the spirit of geometric optics. If adiabatic time goes to infinity then, by quantization of Furstenberg Theorem, the system will become quantum uniquely ergodic. Thus, infinite excitation of a closed system leads to quantum chaos.
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