Geometric phase of a qubit in dephasing environments
Jerzy Dajka, Marcin Mierzejewski, J. Łuczka · Journal of Physics A Mathematical and Theoretical · 2007
The geometric phase of a qubit coupled dephasingly to ohmic or non-ohmic bosonic environment exhibits a strong dependence on both an initial state of the system and spectral properties of the environment. Analysing the exact reduced dynamics we show that the geometric phase can be more easily maintained for the subohmic and ohmic environments than for the superohmic environment. We show the existence of the initial states for which the geometric phase is robust against coupling to the environment.