Scar State on Time-evolving Wavepacket

26th IUPAP Conference on Computational Physics

物理学;计算机科学

Tomiya, Mitsuyoshi^1 ; Tsuyuki, Hiroyoshi^1 ; Kawamura, Kentaro^1 ; Sakamoto, Shoichi^1 ; Heller, Eric J.^2

Faculty of Science and Technology, Seikei University, Kichijoji-Kitamachi 3-3-1, Musashino-shi, Tokyo

180-8633, Japan^1

Department of Physics, Harvard University, Cambridge

MA

02138, United States^2

关键词: Availavility;    Eigenstates;    Periodic orbits;    Semi-classical approximation;    Spectral function;    Unstable periodic orbits;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/640/1/012068/pdf
DOI  :  10.1088/1742-6596/640/1/012068

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The scar-like enhancement is found in the accumulation of the time-evolving wavepacket in stadium billiard. It appears close to unstable periodic orbits, when the wavepackets are launched along the orbits. The enhancement is essentially due to the same mechanism of the well-known scar states in stationary eigenstates. The weighted spectral function reveals that the enhancement is the pileup of contributions from scar states on the same periodic orbit. The availavility of the weighted spectrum to the semiclassical approximation is also disscussed.