Regge poles of analogous rotating black holes in binary Bose-Einstein condensates

Wei-Can Syu^1*, Tien Hsieh², Da-Shin Lee²

¹General Education Center, Wenzao Ursuline University of Languages, Kaohsiung, Taiwan
²Department of Physics, National Dong Hwa university, Hualien, Taiwan

* Presenter:Wei-Can Syu, email:syuweican@gmail.com

we study the spectrum of the Regge poles (RPs), which are the counterparts of quasinormal modes, in a draining bathtub vortex within a two-component Bose-Einstein condensate (BEC) system. This model serves as an analogue of a rotating black hole surrounded by an environmental mass shell. We first compute the semiclassical scattering amplitude with the spatially independent mass effect due to the orbital interference. In the case of the mass-shell, bifurcation of the spectrum is observed, resulting in the destabilization of the RPs. We also study the migration of RPs by shifting the bump position. Our results show that the RPs of the co-rotating modes exhibit greater stability than those of the counter-rotating modes. Large migration and overtaking jumps of the overtone (fundamental RP) leave an imprint on the scattering amplitude at small (large) scattering angles.

Keywords: Regge poles spectrum, Analog black hole, Bose-Einstein condensates