Unusual Properties of Enhancement Factor in Open Wave Chaotic System with Time-Reversal-Invariance Violation
M. Białousa, B. Dietzb, L. Sirkoa
aInstitute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
bLanzhou Center for Theoretical Physics and the Gansu Provincial Key Laboratory of Theoretical Physics, Lanzhou University, Lanzhou, Gansu 730000, China
Full Text PDF
We discuss experimental investigations showing that above a certain size of time-reversal (T) invariance violation the increase of the openness of a wave chaotic system can lead to an increase of the elastic enhancement factor, that is, an enhancement of scattering in backward direction. In the experiment, a quantum billiard with partially violated time-reversal invariance, characterized by the T-invariance violation parameter ξ, which varies between zero for preserved and one for completely violated T-invariance, is simulated with a flat quarter-bow-tie microwave cavity which contains two cylindrical ferrites that are magnetized by an external magnetic field. The elastic enhancement factor FM(η,γ,ξ) is investigated as a function of internal absorption and openness. Particularly, we focus on the frequency range of strongest T-invariance violation where the increase of the number of open channels causes a boost of the elastic enhancement factor FM(η,γ,ξ), instead of the expected lowering. Our study extends our recently published investigation [Phys. Rev. E 102, 042206 (2020)] towards a higher number of open channels and therefore larger openness of the system.

DOI:10.12693/APhysPolA.139.462
topics: wave chaos, microwave billiards, time-reversal invariance violation, quantum chaotic scattering