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- W3100740828 abstract "We formulate an optimization problem of Hamiltonian design based on the variational principle. Given a variational ansatz for a Hamiltonian we construct a loss function to be minimised 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), find optimal conditions for an experiment or extrapolate given wavefunctions in a certain universality class from smaller to larger system sizes. 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." @default.
- W3100740828 created "2020-11-23" @default.
- W3100740828 creator A5013420170 @default.
- W3100740828 date "2020-09-02" @default.
- W3100740828 modified "2023-10-18" @default.
- W3100740828 title "Automatic design of Hamiltonians" @default.
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- W3100740828 doi "https://doi.org/10.22331/q-2020-09-02-315" @default.
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