Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications

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Simone Warzel, TU-Munich
Jadwin Hall A07

Ever since Laughlin’s proposal, the correlation structure inherent in fractional quantum Hall wavefunctions and their relation to the Coulomb gas have been of continued interest. One way to grasp this structure is through an infinite matrix product (iMPS) description of such wavefunctions in terms of correlators of a chiral quantum field theory. In this talk, I will present a novel, rigorous version of an iMPS for the full class of Laughlin wavefunctions times an arbitrary symmetric polynomial and discuss its properties.  (Based on joint work with Severin Schraven.)