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Condensed Matter Journal Club: "Scattering in the lowest Landau level and parallels with black hole physics"

Event Type
Condensed Matter Journal Club
276 Loomis
Mar 29, 2023   11:00 am  
Varsha Subramanyan (UIUC)
Jacopo Gliozzi
Originating Calendar
Physics - Condensed Matter Journal Club

Scattering through a quantum point contact serves as an important probe of the phases of quantum Hall matter. In the lowest Landau level, the transmission amplitude of the point contact has a "thermal" form and shares crucial parallels with the Hawking-Unruh effect. In this talk, I will show these parallels to be a result of their shared isomorphic symmetries, and highlight the central role played by the inverted oscillator in determining the physics of these disparate systems. Consequently, these connections lead to the possibility of realizing other relativistic phenomena like Wigner rotation, and time-decaying modes with quantized decay rates among the scattered states in the lowest Landau level. I will then discuss certain curious features of semi-classical anyon dynamics generated by quadratic potentials in the lowest Landau level.

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