Quantum quenches and driven dynamics in a single-molecule device

Yuval Vinkler, Avraham Schiller, Natan Andrei

Research output: Contribution to journalArticle

15 Citations (Scopus)

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.

Original languageEnglish (US)
Article number035411
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number3
DOIs
StatePublished - Jan 6 2012

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Molecules
Relaxation time
molecules
vibration mode
Transistors
transistors
relaxation time
operators
oscillations
Electrons
electrons

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Quantum quenches and driven dynamics in a single-molecule device. / Vinkler, Yuval; Schiller, Avraham; Andrei, Natan.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 85, No. 3, 035411, 06.01.2012.

Research output: Contribution to journalArticle

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