Geometric Phases Corrected by Stochastic Dephasing

L. C. Wang, X. X. Yi

Luis E. Oxman, Antonio Zelaquett Khoury, Fernando C. Lombardo +1 more

Xiao-San Ma, Wang An-Min

We analyze the effect of stochastic dephasing on geometric phases. The result implies that the correction of geometric phases relies on not only the fluctuation of the random variable in the stochastic process, but also the frequency of the system.

Bernhard Rauer

Nikolai A. Sinitsyn

We generalize the concept of the geometric phase in stochastic kinetics to a noncyclic evolution. Its application is demonstrated on kinetics of the Michaelis-Menten reaction. It is shown that the noncyclic geometric phase is responsible for the correction to the Michaelis-Menten law when parameters, such as a substrate concentration, are changing with time. We also discuss a model, where this correction qualitatively changes the outcome of reaction kinetics.

J. D. Fan, Y. M. Malozovsky