Mourokh Lev, Lloyd Seth
Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042819. doi: 10.1103/PhysRevE.88.042819. Epub 2013 Oct 29.
We examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived from the equations of motion for electronic operators and we show that these rates are associated to an explicit expression for the environment correlation time. We demonstrate that as a manifestation of the Goldilocks principle, the optimal transfer is governed by a single parameter which is equal to just the inverse square root of 2.
我们研究了在由一组独立简谐振子表示的耗散环境存在下两个量子态之间的电子转移。对于这个简单模型,马库斯转移速率可以从电子算符的运动方程推导得出,并且我们表明这些速率与环境关联时间的一个显式表达式相关。我们证明,作为金凤花原理的一种表现,最优转移由一个单一参数控制,该参数恰好等于2的平方根的倒数。