University of Connecticut

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Condensed Matter Physics Seminar

Friday, January 10, 2020
2:00pm – 3:00pm

Storrs Campus
GS 119

Dr. Kiryl Pakrouski, Department of Physics, Princeton University

Automatic design of Hamiltonians

We formulate an optimization problem of finding optimal Hamiltonians by analogy to the variational principle. Given a variational ansatz for a Hamiltonian we construct a loss function as a weighted sum of relevant Hamiltonian properties specifying thereby the search query. Using fractional quantum Hall effect as a test system we illustrate how the framework can be used to determine a generating Hamiltonian of a finite-size model wavefunction (Moore-Read Pfaffian and Read-Rezayi states) or to find optimal parameters for an experiment. We also discuss how the search for approximate generating Hamiltonians may be used to find simpler and more realistic models implementing the given exotic phase of matter by experimentally accessible interaction terms.

Contact:

Prof. A. Balatsky

Physics Department (primary), College of Liberal Arts and Sciences, UConn Master Calendar

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