Crossover from nonadiabatic to adiabatic electron transfer reactions: Multilevel blocking Monte Carlo simulations
arXiv:cond-mat/0205400 · doi:10.1063/1.1523014
Abstract
The crossover from nonadiabatic to adiabatic electron transfer has been theoretically studied under a spin-boson model (dissipative two-state system) description. We present numerically exact data for the thermal transfer rate and the time-dependent occupation probabilities in largely unexplored regions of parameter space, using real-time path-integral Monte Carlo simulations. The dynamical sign problem is relieved by employing a variant of the recently proposed multilevel blocking algorithm. We identify the crossover regime between nonadiabatic and adiabatic electron transfer, both in the classical (high-temperature) and the quantum (low-temperature) limit. The electron transfer dynamics displays rich behaviors, including multi-exponential decay and the breakdown of a rate description due to vibrational coherence.
arXiv comment15 pages, 14 figures submitted to the Journal of Chemical Physics
References in corpus (14)
- Exact c-number Representation of Non-Markovian Quantum Dissipation
- Low-temperature dynamical simulation of spin-boson systems
- Equilibrium dynamics of the dissipative two-state system
- Dynamical simulation of current fluctuations in a dissipative two-state system
- Boundary interactions changing operators and dynamical correlations in quantum impurity problems
- Path-integral Monte Carlo Simulations without the Sign Problem: Multilevel Blocking Approach for Effective Actions
- Is the direct observation of electronic coherence in electron transfer reactions possible?
- Scaling and universality in the anisotropic Kondo model and the dissipative two-state system
- Multilevel blocking approach to the fermion sign problem in path-integral Monte Carlo simulations
- Real-Time-RG Analysis of the Dynamics of the Spin-Boson Model
- A Multilevel Blocking Approach to the Sign Problem in Real-Time Quantum Monte Carlo Simulations
- Is there spin-charge separation in the 2D Hubbard and t-J models at low electronic densities?
- Dynamical Behavior of the Dissipative Two-State System
- Coherent nuclear motion in a condensed-phase environment: Wave-packet approach and pump-probe spectroscopy
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