M. J. W. Hall, “Complete Positivity for Time-Dependent Qubit Master Equations,” Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 20, 2008, Article ID: 205302. doi:10.1088/1751-8113/41/20/205302

has been cited by the following article:

• TITLE: Non-Markovian Dynamics of an Open Two-Level System with Amplitude-Phase Damping

  AUTHORS: Ning Tang, Guoyou Wang, Zilong Fan, Haosheng Zeng

  KEYWORDS: Non-Markovianity; Amplitude-Phase Dampings; Destructive Interference

  JOURNAL NAME: Journal of Quantum Information Science, Vol.3 No.1, March 29, 2013

  ABSTRACT: By use of the measure, the backflow of information presented recently, we study the non-Markovianity of the dynamics for a two-level system interacting with a zero-temperature structured environment via amplitude-phase coupling. In the limit of weak coupling between the system and its reservoir, the time-local non-Markovian master equation for the reduced state of the system is derived. Under the secular approximation, the exact analytic solution is obtained. Numerical simulations show that the amplitude and phase dampings can produce destructive interference to the backflow of information, leading to the weaker non-Markovianity of the compound dynamics compared with the dynamics of a single amplitude or phase damping model. We also study the characteristics of the initial-state pairs that maximize the backflow of information.