Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain

Details Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain

2010-11-25

arxiv.org/abs/1011.5653v2

Phys. Rev. A 83, 032103 (2011)

Physics

Quantum Physics

10 pages, 8 figures, RevTeX4

Scientific paper

Using recently proposed measures for non-Markovianity [H. P. Breuer, E. M. Laine, and J. Piilo, Phys. Rev. Lett. {\bf 103}, 210401 (2009)], we study the dynamics of a qubit coupled to a spin environment via an energy-exchange mechanism. We show the existence of a point, in the parameter space of the system, where the qubit dynamics is effectively Markovian and that such a point separates two regions with completely different dynamical behaviors. Indeed, our study demonstrates that the qubit evolution can in principle be tuned from a perfectly forgetful one to a deep non-Markovian regime where the qubit is strongly affected by the dynamical back-action of the environmental spins. By means of quantum process tomography, we provide a complete and intuitive characterization of the qubit channel.

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