<i>Probing black hole-like quasinormal modes in quantum Hall point contact geometries</i>

Recently it was shown by the authors that quantum Hall systems under the influence of an external saddle potential can realize the inverted harmonic oscillator(IHO), which is of importance in its own right and in the context of black hole physics [*]. A key feature of this potential is the occurrence of the resonant states/ quasinormal modes(QNMs) that decay in time via a finite outward flux. In this talk, we explore the directions for feasible experimental realisation and detection of these states. We analyze the bounded scattering potential of the Pöschll-Teller model whose scattering matrix has a resonant pole structure comparable to the IHO. We study quantities such as the non-escape probability that could be amenable to measurement and extraction of the decay rates of QNMs. We propose time-resolved measurements in quantum Hall point contact architectures for experimentally probing these wave packet scattering phenomena.

[*] Phys. Rev. Lett. 123, 156802 (2019)