BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alexander Seidel (Washington University in St. Louis) DTSTART:20201214T193000Z DTEND:20201214T203000Z DTSTAMP:20260423T005826Z UID:Kadanoff/17 DESCRIPTION:Title: Entangled Pauli Principles\nby Alexander Seidel (Washington Universi ty in St. Louis) as part of Kadanoff seminars\n\n\nAbstract\nA major chall enge in the study of strongly correlated electron systems is to establish a firm link between microscopic models and effective field theory. Quite o ften\, this step involves a leap of faith\, and/or extensive numerical stu dies. For fractional quantum Hall model wave functions\, there exists — in some cases — a scheme to infer the long distance physics of a state t hat is both compelling and simple\, and leaves very little room for ambigu ity. This scheme involves a local parent Hamiltonian for the state\, which unambiguously defines a ``zero mode space’’ of elementary excitations \, and what’s known as a ``generalized Pauli principle’’. The latte r efficiently organizes the zero mode space through one-dimensional patter ns satisfying local rules and effectively functions as the ``DNA’’ of the topological phase:\nWhere this works\, universal properties of the sta te emerge from counting exercises in terms of these patterns\, which effic iently and unambiguously encode the edge conformal field theory and relate d topological data. This includes a natural scheme to infer braiding stati stics directly\, for both Abelian and non-Abelian states. The strong link between microscopics and effective theory brought about by the existence o f a particular type of parent Hamiltonian\, one which enforces a Pauli-lik e in its zero modes\, is thus far limited to a subset of the myriad phases possible in the fractional quantum Hall regime. I will report on recent p rogress on extending this paradigm into new terrain where it previously di d not\, or did not fully apply\, including most composite fermion states a nd their ``parton’’ generalizations\, leading to ``entangled’’ Pau li-like principles. I will argue that these examples suggest the beginnin gs of a new ``Hamiltonian building’’ framework that capitalizes on the matrix product form of fractional quantum Hall trial states\, rather than their analytic first quantized form.\n LOCATION:https://researchseminars.org/talk/Kadanoff/17/ END:VEVENT END:VCALENDAR