Dynamical quantum typicality: Simple method for investigating transport properties applied to the Holstein model

Abstract

We investigate the transport properties of the Holstein model using the numerically exact quantum typicality (QT) approach. Roughly speaking, QT exploits the fact that even a single, randomly chosen pure state can effectively represent the full statistical ensemble in a high-dimensional Hilbert space. This allows us to compute frequency-dependent mobilities, representative of the thermodynamic limit, that are well-converged with respect to all numerical parameters. Our results are compared against other numerically exact methods, and used to analyze the contribution of vertex corrections to frequency-dependent mobility. The promising accuracy and efficiency of the QT approach suggest its applicability to a broader class of Hamiltonians.

21 pages, 16 figures

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Cited by in corpus (8)

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• Numerically "exact" charge transport dynamics in a dissipative electron-phonon model rationalizing the success of the transient localization scenario
• Quantum-classical study of charge transport in organic semiconductors with multiple low-frequency vibrational modes
• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures
• Nontrivial damping of magnetization currents in perturbed spin chains
• Applicability of the cumulant expansion method for the calculation of transport properties in electron-phonon systems