Quantum quenches and driven dynamics in a single-molecule device
arXiv:1109.5590 · doi:10.1103/PhysRevB.85.035411
Abstract
The nonequilibrium dynamics of molecular devices is studied in the framework of a generic model for single-molecule transistors: a resonant level coupled by displacement to a single vibrational mode. In the limit of a broad level and in the vicinity of the resonance, the model can be controllably reduced to a form quadratic in bosonic operators, which in turn is exactly solvable. The response of the system to a broad class of sudden quenches and ac drives is thus computed in a nonperturbative manner, providing an asymptotically exact solution in the limit of weak electron-phonon coupling. From the analytic solution we are able to (1) explicitly show that the system thermalizes following a local quantum quench, (2) analyze in detail the time scales involved, (3) show that the relaxation time in response to a quantum quench depends on the observable in question, and (4) reveal how the amplitude of long-time oscillations evolves as the frequency of an ac drive is tuned across the resonance frequency. Explicit analytical expressions are given for all physical quantities and all nonequilibrium scenarios under study.
23 pages, 13 figures
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Cited by in corpus (14)
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- Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
- Crossover from adiabatic to antiadiabatic phonon-assisted tunneling in single-molecule transistors
- Iterative path integral summation for nonequilibrium quantum transport
- Phonon dynamics in correlated quantum systems driven away from equilibrium
- Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
- Exponential and power-law renormalization in phonon-assisted tunneling
- Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
- Single-molecule-mediated heat current between an electronic and a bosonic bath
- Charge and spin correlations of a Peierls insulator after a quench
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- Quantum transport through a molecular level: a scattering states numerical renormalisation group study