Lang-Firsov approaches to polaron physics: From variational methods to unbiased quantum Monte Carlo simulations

Abstract

We review variational and quantum Monte Carlo approaches based on (extended) Lang-Firsov transformations of the Hamiltonian. Derivations for one, two and many electrons are given, and results for the Holstein polaron, the Holstein-Hubbard bipolaron, and the spinless Holstein model at finite carrier densities are presented.

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