Lang-Firsov approaches to polaron physics: From variational methods to unbiased quantum Monte Carlo simulations
Martin Hohenadler, Wolfgang von der Linden
TL;DR
This paper reviews variational and quantum Monte Carlo methods based on Lang-Firsov transformations for studying polaron physics, covering various models and electron configurations.
Contribution
It provides a comprehensive overview of both variational and unbiased quantum Monte Carlo approaches applied to polaron models using Lang-Firsov transformations.
Findings
Results for Holstein polaron and bipolaron models.
Analysis of spinless Holstein model at finite densities.
Comparison of variational and Monte Carlo methods.
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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