Fermi's Golden Rule, Nonequilibrium Electron Capture From the Wetting Layer, and the Modulation Response in P-Doped Quantum-Dot Lasers

The nonequilibrium Fermi’s golden rule (NE-FGR) describes the time-dependent rate coefficient for electronic transitions, when the nuclear degrees of freedom start out in a nonequilibrium state. In this letter, the linearized semiclassical (LSC) approximation of the NE-FGR is used to calculate the photoinduced charge transfer rates in the carotenoid-porphyrin-C60 molecular triad dissolved in explicit tetrahydrofuran. The initial nonequilibrium state corresponds to impulsive photoexcitation from the equilibrated ground-state to the ππ* state, and the porphyrin-to-C60 and the carotenoid-to-C60 charge transfer rates are calculated. Our results show that accounting for the nonequilibrium nature of the initial state significantly enhances the transition rate of the porphyrin-to-C60 CT process. We also derive the instantaneous Marcus theory (IMT) from LSC NE-FGR, which casts the CT rate coefficients in terms of a Marcus-like expression, with explicitly time-dependent reorganization energy and reaction free energy. IMT is found to reproduce the CT rates in the system under consideration remarkably well.

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Quantum dimensionality, entropy, and the modulation response of quantum dot lasers

Applied Physics Letters ◽

10.1063/1.1328090 ◽

2000 ◽

Vol 77 (21) ◽

pp. 3325-3327 ◽

Cited By ~ 76

Author(s):

D. G. Deppe ◽

D. L. Huffaker

Keyword(s):

Quantum Dot ◽

Quantum Dot Lasers ◽

Modulation Response

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Fermions on wobbling kinks: normal versus quasinormal modes

Journal of High Energy Physics ◽

10.1007/jhep09(2021)103 ◽

2021 ◽

Vol 2021 (9) ◽

Author(s):

João G. F. Campos ◽

Azadeh Mohammadi

Keyword(s):

Transition Probabilities ◽

Transition Probability ◽

Quasinormal Modes ◽

Golden Rule ◽

Coupling Constants ◽

Large Coupling ◽

Constant Rate ◽

Fermi's Golden Rule ◽

The Impact ◽

Fermi’S Golden Rule

Abstract The system consisting of a fermion in the background of a wobbling kink is studied in this paper. To investigate the impact of the wobbling on the fermion-kink interaction, we employ the time-dependent perturbation theory formalism in quantum mechanics. To do so, we compute the transition probabilities between states given in terms of the Bogoliubov coefficients. We derive Fermi’s golden rule for the model, which allows the transition to the continuum at a constant rate if the fermion-kink coupling constant is smaller than the wobbling frequency. Moreover, we study the system replacing the shape mode with a quasinormal mode. In this case, the transition rate to continuum decays in time due to the leakage of the mode, and the final transition probability decreases sharply for large coupling constants in a way that is analogous to Fermi’s golden rule. Throughout the paper, we compare the perturbative results with numerical simulations and show that they are in good agreement.

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