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SUMMARY:Simone Warzel (TU-Munich)
DTSTART:20200505T180000Z
DTEND:20200505T190000Z
DTSTAMP:20260404T094533Z
UID:PrincetonMPS/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Princ
 etonMPS/1/">Spectral gaps\, incompressibility and fragmented matrix-produc
 t state in a fractional quantum Hall system</a>\nby Simone Warzel (TU-Muni
 ch) as part of Princeton mathematical physics seminar\n\n\nAbstract\nIn th
 e thin cylinder regime Haldane’s pseudo-potential corresponding to one-t
 hird filling results in a frustration-free fermionic lattice Hamiltonian w
 hich is dipole-conserving with an added electrostatic interaction. Its zer
 o-energy eigenspace is exponentially large. Nevertheless\, it admits a a r
 ather simple\, full description in terms of a certain class of fragmented 
 matrix-product states\, which I will introduce and discuss in this talk. \
 n\nAs I will sketch\, the complete classification of zero-energy states ca
 n be taken as a basis for a proof of a uniform spectral gap in the excitat
 ion spectrum of these Hamiltonians. The latter is vital for the theoretica
 l explanation of the incompressibility of the FQH system at maximal fillin
 g.\n
LOCATION:https://stable.researchseminars.org/talk/PrincetonMPS/1/
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