Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model

Abstract

We study quenches of the interaction and electron-phonon coupling parameter in the Hubbard-Holstein model, using nonequilibrium dynamical mean field theory. The calculations are based on a generalized Lang-Firsov scheme for time-dependent interactions or externally driven phonons, and an approximate strong-coupling impurity solver. The interaction quench calculations reveal the phonon-assisted decay of excess doublons, while the quenches of the electron-phonon coupling lead to persistent oscillations of the phonons and to a phonon-enhanced doublon production.

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• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
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• Coupled charge and spin dynamics in a photo-excited Mott insulator
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Unusual Two-stage Dynamics of the Spin-Lattice Polaron Formation
• Analytical solution for time-integrals in diagrammatic expansions: application to real-frequency diagrammatic Monte Carlo
• Ultrafast Mott transition driven by nonlinear electron-phonon interaction
• Effective doublon and hole temperatures in the photo-doped dynamic Hubbard model
• Thermalization after photoexcitation from the perspective of optical spectroscopy
• Dynamical control of electron-phonon interactions with high-frequency light
• A comparative study of nonequilibrium insulator-to-metal transitions in electron-phonon systems
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• Density Functional Theory of the Hubbard-Holstein Model
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• Cavity engineering of Hubbard $U$ via phonon polaritons
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• Nonequilibrium RIXS study of an electron-phonon model
• Real-time evolution of static electron-phonon models in time-dependent electric fields
• Stochastic semiclassical theory for non-equilibrium electron-phonon coupled systems
• Exact solution of two simple non-equilibrium electron-phonon and electron-electron coupled systems: the atomic limit of the Holstein-Hubbard model and the generalized Hatsugai-Komoto model
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