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Benchmarking the Exponential Ansatz for the Holstein model

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abstract

Polarons are quasiparticles formed as a result of lattice distortions induced by charge carriers. The single-electron Holstein model captures the fundamentals of single polaron physics. We examine the power of the exponential ansatz for the polaron ground-state wavefunction in its coupled cluster, canonical transformation, and (canonically transformed) perturbative variants across the parameter space of the Holstein model. Our benchmark serves to guide future developments of polaron wavefunctions beyond the single-electron Holstein model.

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Lattice stitching by eigenvector continuation for Holstein polaron

quant-ph · 2025-02-06 · conditional · novelty 6.0

Ground-state energies of the 1D Holstein polaron at ω/t=0.1 can be obtained within a few percent error from eigenvector continuation over two- and four-site segments, cutting VQE qubit counts from 507 to 11.

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  • Lattice stitching by eigenvector continuation for Holstein polaron quant-ph · 2025-02-06 · conditional · none · ref 49 · internal anchor

    Ground-state energies of the 1D Holstein polaron at ω/t=0.1 can be obtained within a few percent error from eigenvector continuation over two- and four-site segments, cutting VQE qubit counts from 507 to 11.