The spectral gap in fractional Hall systems

The spectral gap in fractional Hall systems

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Simone Warzel, Technical University of Munich
Jadwin Hall A06

In-Person Talk 

In this talk I will give an overview of recent progress regarding mathematical questions and proofs of the spectral properties of Haldane pseudo-potentials. These are short range interactions projected onto the lowest Landau level and are tailored to model properties of fractional Hall fluids and their excitations as well as rotating Bose gases. I will sketch a strategy which establishes the spectral gap in a truncated system which describes a thin-cylinder limit.  

Based on joint works with B. Nachtergaele and A. Young