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Nonequilibrium quench and driven dynamics of a single-molecule device are studied in the framework of an individual resonant level weakly coupled by displacement to a molecular vibronic mode. Mapping the model onto a continuum-limit Hamiltonian, we use Abelian bosonization to recast the latter in a form quadratic in bosonic operators. The resulting Hamiltonian is exactly solvable, allowing a precise calculation of the quench dynamics in response to a sudden change in the system parameters. Several quench scenarios are considered, including an abrupt switching on of the electron-phonon interaction and a sudden change in the phonon frequency. We explicitly demonstrate the relaxation to the new equilibrium and identify the relevant time scales. We further calculate the exact response to an ac drive and find non-trivial interference between transient dynamics and harmonic modulation.
* Work done in collaboration with Avraham Schiller and Natan Andrei |
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