TY - JOUR
T1 - Quasinormal Modes and the Hawking-Unruh Effect in Quantum Hall Systems
T2 - Lessons from Black Hole Phenomena
AU - Hegde, Suraj S.
AU - Subramanyan, Varsha
AU - Bradlyn, Barry
AU - Vishveshwara, Smitha
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/10/11
Y1 - 2019/10/11
N2 - In this work, we propose the quantum Hall system as a platform for exploring black hole phenomena. By exhibiting deep rooted commonalities between the lowest Landau level and spacetime symmetries, we show that features of both quantum Hall and gravitational systems can be elegantly captured by a simple quantum mechanical model: the inverted harmonic oscillator. Through this correspondence, we argue that radiation phenomena in gravitational situations, such as presented by W. G. Unruh and S. Hawking, bear a parallel with saddle-potential scattering of quantum Hall quasiparticles. We also find that scattering by the quantum Hall saddle potential can mimic the signature quasinormal modes in black holes, such as theoretically demonstrated through Gaussian scattering off a Schwarzschild black hole by C. V. Vishveshwara. We propose a realistic quantum Hall point contact setup for probing these temporally decaying modes in quasiparticle tunneling, offering a new mesoscopic parallel for black hole ringdown.
AB - In this work, we propose the quantum Hall system as a platform for exploring black hole phenomena. By exhibiting deep rooted commonalities between the lowest Landau level and spacetime symmetries, we show that features of both quantum Hall and gravitational systems can be elegantly captured by a simple quantum mechanical model: the inverted harmonic oscillator. Through this correspondence, we argue that radiation phenomena in gravitational situations, such as presented by W. G. Unruh and S. Hawking, bear a parallel with saddle-potential scattering of quantum Hall quasiparticles. We also find that scattering by the quantum Hall saddle potential can mimic the signature quasinormal modes in black holes, such as theoretically demonstrated through Gaussian scattering off a Schwarzschild black hole by C. V. Vishveshwara. We propose a realistic quantum Hall point contact setup for probing these temporally decaying modes in quasiparticle tunneling, offering a new mesoscopic parallel for black hole ringdown.
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U2 - 10.1103/PhysRevLett.123.156802
DO - 10.1103/PhysRevLett.123.156802
M3 - Article
C2 - 31702282
AN - SCOPUS:85073434694
SN - 0031-9007
VL - 123
JO - Physical review letters
JF - Physical review letters
IS - 15
M1 - 156802
ER -